There are those who in the realm of science fiction literature wonder if galactic empires are the new "Middle-Earth". But interstellar empires never seem to go out of style, and regardless of their practicality they remain a powerful meme. The terrorist organization Aum Shinrikyo found inspiration in the galactic empire of Isaac Asimov's Foundation Trilogy. And concerns about how realistic galactic empires are will just send George Lucas laughing all the way to the bank.
Like all nations, interstellar empires will have an over-all society and culture (which is probably not true for sub-empire groups of governments such as suzerainties, confederations, etc.). And the culture may not only evolve with time, it may even go through cycles.
David Maurer's Modern Transformation tries to explain the evolution of society and culture in terms of subsequent answers to the burning question of "where is the food going to come from?" That is, the mechanisms of food production and food distribution. Tribal society was based on a subsistence economy, where most people hunt, gather, herd, or grow their own food. The relatively small amount of distribution was handled by sharing or barter between family and neighbors. Aristocrat-peasant society was fed by a subordinate class of peasants who worked the land and delivered a substantial part of the harvest to their aristocratic lords, without being paid. This was a command distribution system. Modern society depends on markets for food production and distribution, in other words it all revolves around something called "money".
Some characteristics of future societies can be extrapolated from their origins. The tired old example is the "Wild West" society from the United State's pioneer period. When one is living on the frontier rim where the government and the law is a distant and tenuous thing, often the only law is what one makes oneself, i.e., "taking the law into ones own hands." As civilization and development washed over the West, society became more stodgy.
In the Albedo Anthropomorphics universe of Steve Gallacci, one has a cluster of planets colonized by slower-than-light starships (yes, the colonists are furry anthropomorphic animals, but that is beside the point). The planetary cultures that were founded as a consequence have a "shipboard discipline mentality."
Consider, on a spacecraft, if a civilian saw something like an air leak in the hull, and didn't report it to anybody, they would be endangering not only their own life but also the lives of everybody on the colony ship. So that is a crime.
In the United States on the other hand, if a person sees somebody lying injured on the side of the road, and they try to help the injured one, more often than not they wind up being sued by the injured person. Hands off, do not get involved, it is not your problem.
In the Albedo universe, with the shipboard discipline mentality, it is a crime not to try and help somebody who is injured, and there are "Good Samaritan" laws to protect the helpers.
Obviously matters of practicality can also affect the shape of a society.
The Albedo universe is not colonized by human beings, instead the various planets are populated by various species of Terran animals genetically engineered to intelligence.
Now with most Terran mammals, the female is only sexually attractive to the male when they go into estrus (aka "in heat"). At other times the males could care less (similar to the attitudes of young pre-adolescent boys who think that girls are stupid and icky, an attitude that undergoes a marked change when puberty strikes). Consequence: in the Albedo universe there are no nudity taboos, and mixed-gender washing and toilet facilities are the norm.
But when estrus occurs the females must go into seclusion and/or use powerful deodorants. Otherwise all the males within smelling distance suddenly start acting like sexually-frustrated 16-year-old boys.
When Frank Herbert wanted to write his novel Dune, he did not want his future society to be some sort of cyberpunk future. He wanted something medieval in space. So he postulated in his future history a period where people revolted against computers and related technology in the "Butlerian Jihad", which outlawed all thinking machines. This justified Herbert's desired medieval future.
In Piers Anthony's Cluster series he postulated that there were five cultural types, labeled by the five suits of Tarot cards (Anthony's minor arcana has a fifth suit instead of the customary four). All the galactic aliens fall into one of the five categories. Anthony apparently had a lot of fun creating the characteristics of each of the five types, and illustrating the cultural clashes inherent when different types interacted. Highly unlikely to be true in reality, but it gave the author something to work with.
In the classic Battlestar Galactica TV series, there are twelve human colonies with names like Sagittaron, Gemenon, Caprica, etc. Like the rest of the "Chariots of the Gods" schtick in the show, this is supposed to be the ancient high-tech ancestor of some mystical occult Fortean stuff from Terra's alleged history. In this case it is the astrological signs of the zodiac. According to astrology, the sign of the zodiac the sun is occupying at the instant of your birth foretells your major personality traits. According to Battlestar Galactica, these are actually major personality traits of citizens living in the colony in question. The personality of the sun-sign Sagittarius is the same as the Sagittarons, sun-sign Gemenon is zodiac sign Gemini, and so on. Total felgercarb, but at least it gave the episode writers some quick-and-dirty guidelines when creating characters.
Note that the critical part of both Anthony and BSG's cultural classifications is that they cover the entire spectrum of possible cultures, with no holes. This means that Anthony's five-category system is very low-resolution, and BSG's twelved-category system is only slightly better. Which is a liability for a scientist but may be an advantages for an author.
Partnership culture is characterized by:
- Organization according to the ideals of a democratic structure
- Equal partnership between men and women
- A lack of tolerance for abuse and violence
- Belief systems that validate an empathetic perspective
Dominator culture is characterized by:
- Authoritarian social and family structure
- Rigid male dominance
- A high level of violence and abuse
- A system of beliefs that normalizes such a society
|Symbol: Gatherer's Bag||Symbol: Hunter's Flint Knive|
|Power comes from the creation and nurturing of life||Power comes from the coercion and killing of life|
|Reveres Life||Reveres Death|
|Sex is good||Sex is bad|
|Violence is bad||Violence is good|
|the ultimate sexual taboo is Incest|
(because it harms the family)
|the ultimate sexual taboo is Homosexuality|
(because it harms masculinity)
|Life is a Non-Zero Sum game||Life is a Zero-Sum Game|
|Obtain new items by creating them yourself||Why bother making things when you can steal them at knife point?|
As far as political movements within a government are concerned, Jerry Pournelle has an interesting classification system.
The X-axis is "Statism" or attitude towards the State. The extreme positive X-axis represents the movement's belief that the State is a positive good, nay, worthy of worship. The negative X-axis is the belief that the State is the ultimate evil.
The Y-axis is "Rationalism" or attitude toward planned social progress. It is the belief that society has "problems," and these can be "solved." The extreme postive Y-axis represents the belief that all social problems have findable solutions.
There are some other amusing X-Y classification systems. The Political Compass is similar to Pournelle's, but with a Libertarian bent.
The Dungeons and Dragon game had each character choose their "alignment" from the alignment chart. This chart had an "ethical" X-axis between Chaotic and Lawful, and a "moral" Y-axis between Good and Evil.
If you believe that "the good of the many outweights the good of the few", you are Lawful, otherwise you are Chaotic.
If you believe that "the ends justify the means" then you are Evil, otherwise you are Good.
On either axis you could be "Neutral".
Another interesting axis classification system is the Inglehart-Welzel Cultural Map of the World.
The Traditional/Secular-rational values axis reflects the contrast between societies in which religion is very important and those which are more secular.
The second axis is linked with the transition from industrial society to post-industrial societies — which brings a polarization between Survival and Self-expression values. Translation: the -2 side is where you have to spend all your time and energy just to get enough food and money to live. The +2 side is where it is easy to get all you need to eat and live, so you have plenty of free time to do whatever you want.
The authors note that each axis actually contains many related values which vary in lock step. For instance, the Traditional/Secular-rational is specifically for measuring religion. But in practice it also measures such things as the importance of parent-child ties and deference to authority, along with absolute standards and traditional family values. Cultures with a high religion value reject divorce, abortion, euthanasia, and suicide. They also have high levels of national pride, and a nationalistic outlook. Cultures with a low religion value also have the opposite preference in all those topics.
SF authors and game designers who want to invent believable cultures for their various interstellar nations can use this graph to explore both the outer limits and the finer nuances.
David Maurer's Explanation of history shows how the values and philosophy of a culture relate to the question of "where is the food going to come from?" As the answer changes, so does the culture. This more or less corresponds to the Survival — Self-expression axis in the Inglehart-Welzel graph.
Linear-actives — those who plan, schedule, organize, pursue action chains, do one thing at a time. Germans and Swiss are in this group.
Multi-actives — those lively, loquacious peoples who do many things at once, planning their priorities not according to a time schedule, but according to the relative thrill or importance that each appointment brings with it. Italians, Latin Americans and Arabs are members of this group.
Reactives — those cultures that prioritize courtesy and respect, listening quietly and calmly to their interlocutors and reacting carefully to the other side's proposals. Chinese, Japanese and Finns are in this group.
|Talks half of the time||Talks most of the time||Listens most of the time|
|Does one thing at the time||Does several things at once||Reacts to partner's action|
|Plans ahead step by step||Plans grand outline only||Looks at general principles|
|Polite but direct||Emotional||Polite, indirect|
|Confronts with logic||Confronts emotionally||Never confronts|
|Sticks to facts||Feelings before facts||Statements are promises|
|Sticks to agenda||Roams back and forth||Often asks for "repeats"|
|Written word important||Spoken word important||Face-to-face contact important|
|Restrained body language||Unrestrained body language||Subtle body language|
Plastic Bag has the Pirate-Ninja/Elf-Dwarf chart. Pirates are loud and flamboyant, gregarious and unrestrained, life-loving and vigorous, passionate and strong. Their opposite, the Ninjas are skilled and proficient, elegant and silent, contained and constrained, honourable and spiritual. Elves are Thinkers, elegant and timeless, conceptual and refined, abstract and beautiful. Dwarves are Doers, practical and structural, hard-working and no-nonsense, down-to-earth smiths and makers.
If you are creating a "future history generator" program, or something like that, you will need ways of quantifying the various factors.
For nations, the state of the citizens's well-being can be measured by the Human Development Index. This factors in life expectancy, literacy, education, and standard of living into one number. Among other things it can indicate whether a country is a developed, developing, or underdeveloped country.
The economic Misery index is found by adding the unemployment rate to the inflation rate. This tends to predict the relative crime rate of one year in the future.
And the Gini coefficient is a measure of inequality of a distribution of income. If the difference in income between the rich and the poor becomes too absurdly large, the society becomes increasingly unstable. Historians often point to a large Gini coefficient and the disappearance of the middle class as two of the warning signs of the downfall of the Roman empire.
There are the various types of government. These can be the governments of continents on a planet, goverments of an entire united planet, or governments of groups of planets. Go to The Tough Guide to the Known Galaxy and read the entries "NEOFEUDALISM" and "THEOCRATIC NEOMEDIEVALISTS".
Needless to say, there is no lack of ambitious individuals who have a burning desire to be the absolute ruler of a nation or empire. This is why the mechanism of succession must be rigidly defined. If for any reason the mechanism does not function properly when a ruler is removed, lots of people die.
For example, if in a monarchy the crown passes to the former king's eldest son, a king who has no son will start an instant civil war when he dies. Anybody who has a driving ambition to be king and some pathetic scrap of a claim to the throne will gather an army and attack all the other claimants. This is why one of the royal duties is to procreate a male heir as soon as possible. And a second son, as a spare. This also leads to unromantic requirements, such as various officials watching the marriage be consumated in person so they can be legal witnesses.
A famous example of shaky succession is the War of the Roses. Over thirty years of battles and 50,000 deaths because there was just enough vagueness over who should succeed King Richard II.
When the peasants shout "Long Live The King!" they are not proclaiming niceties to the ruler. They are selfishly hoping to delay the time before a messy dynastic battle comes raging through their backyard.
Things get rather tense if the queen gives birth to no children, or worse if there are only daughters. The latter case allows yet another faction to join the bloody civil war: those who say what's wrong with making the eldest daughter a queen? Genetically the "problem" of sterility or inability to sire sons is probably the fault of the father, but in medieval times it was Always The Woman's Fault.
This leads to all sorts of dangerous strategies, such as getting the queen secretly impregnated via a male who is not the king but does have male-baby making ability. Or, for instance, breaking away the Church of England from the authority of the Pope and the Roman Catholic Church just so you can get a divorce from a queen who produces only dead or wrong-gendered babies.
Matrilineality has the advantage of removing legitimacy from the list of problems. Short of genetic testing, there is always a question of whether the child being born was sired by the king or not. But there is no question that the child came from the queen, you can witness whose birth canal the child came out of. But of course such a system is by definition incompatible with patriarchy.
In representative democratic systems of government, succession is handled by elections. These are sort of legal institutionalized coup d'états. As a political system it has problems, but so do all the others.
A hydraulic empire (AKA hydraulic despotism, or water monopoly empire) is where the rulers of the empire maintain control by a monopoly on one or more critical resources. In history the resource was generally water for irrigating the crops. Such empires arise because managing such resources is such a monumental task that it requires central control, which naturally evolves into political control.
In Larry Niven's Destiny's Road the controlling resource is access to vital dietary potassium, a rarity on the colony planet. In Frank Herbert's Dune novels the controlling resource is the spice Melange, which allows faster than light starships.
If the rulers of the empire have no large planetary holdings but have a monopoly on space travel and interstellar trade, the empire is called a Thalassocracy
A common problem is that the rulers of the Hydraulic state make quite sure that their monopoly is absolute, so that all the regions have no alternatives for the resource. Which means if something kills the rulers or otherwise cuts off access to the resource, the regions are in big trouble. The rulers generally are either selfish or short-sighted enough so as to not have any contingency plans. The rulers think that they will always have the resource to offer. Or figure that if they die, then the proletariat has some nerve thinking they deserve to outlive the rulers.
For example, in John Scalzi's novel The Collapsing Empire the interstellar trader megacorporations use The Flow, which is a naturally occuring system of faster-than-light "streams". The traders have a monopoly on interstellar trade.
The Empire is called The Interdependency, because all the colonies are not self-sufficient on purpose. None of the colonies can revolt and split off from the empire because without interstellar importation of vital resources the colony will die. The rulers and the megacorporations planned this to ensure their iron grip on power over the colonies.
Then scientists realize that The Flow is gradually altering to the point where FTL starships won't work any more. All the colonies will be cut off from each other, and there is no way to stop it. OMG we're all gonna die!
There are some kinds of unorthodox interstellar empires where the rulers do not live on planets. Instead they live in orbit, and control planet dwellers by virtue of the military advantage of the gravity gauge, and by a monopoly on interstellar trade. This is called a Thalassocracy, from an ancient term for a seaborne empire.
From the Star Hero role playing game by James Cambias, published by Hero Games. A valuable sourcebook for anybody designing a science fiction universe. From stellar dynamics to types of interstellar governments, this book belongs on the shelf of serious SF authors. This is also a great book to quickly get an author up to speed on the science behind science fiction.
- Who Rules?
- Nobody (anarchy)
- Individual Rule
- Dictator (Emperor, Warlord): rule by force
- Monarch (Chiefs, Barons, Princes, Kings, Emperors): rule by virtue of heredity. May have to delegate power to appointed bureaucracy, elected parliament, or feudal hereditary nobles.
- President (Chancellor, Premier, Governor): rule by merit, appointment, or election.
- Computerized Government
- Small Groups
- Junta: rule by force
- Oligarchy (Aristocracy): rule by virtue of heredity.
- Council (Senate): rule by merit, appointment, or election.
- Large Groups
- Conquering Army: rule by force. Unstable, generally quickly becomes a Junta or Dictator. If situation lasts for a generation it generally becomes Feudal.
- Feudal: rule by virtue of heredity. A large hereditary group may become a Ruling Caste.
- Legislature (Congress, Assembly): rule by merit, appointment, or election.
- Athenian Democracy: everybody rules by voting on all issues.
- How Is The Ruler Chosen?
- No Ruler (anarchy)
- Appointment: the key is who gets to do the appointing. A colony or conquered planet has ruler appointed by controlling planet. Sometimes officials get to appoint their replacements. Sometimes one branch of government appoints the members of another branch.
- Merit. Depends upon what is the measure of merit. Competency = Bureaucracy. Religious Faith = Theocracy. Scientific Knowledge = Technocracy. Wealth = Plutocracy. Sheer Age = Gerontocracy.
- Total Participation (Athenian Democracy)
- Random Selection (similar to jury duty)
- Omens or Oracles (in religious or superstitious societies)
- Computerized Government
From the Traveller role playing game:
- No government structure. In many cases, family bonds predominate.
- Company/Corporation. Government by a company managerial elite; citizens are company employees.
- Participating Democracy. Government by advice and consent of the citizen.
- Self-Perpetuating Oligarchy. Government by a restricted minority, with little or no input from the masses.
- Representative Democracy. Government by elected representatives.
- Feudal Technocracy. Government by specific individuals for those who agree to be ruled. Relationships are based on the performance of technical activities which are mutually beneficial.
- Captive Government. Government by a leadership answerable to an outside group; a colony or conquered area.
- Balkanization. No central ruling authority exists; rival governments compete for control.
- Civil Service Bureaucracy. Government by agencies employing individuals selected for their expertise.
- Impersonal Bureaucracy. Government by agencies which are insulated from the governed.
- Charismatic Dictator. Government by a single leader enjoying the confidence of the citizens.
- Non-Charismatic Leader. A previous charismatic dictator has been replaced by a leader through normal channels.
- Charismatic Oligarchy. Government by a select group, organization, or class enjoying the overwhelming confidence of the citizenry.
- Religious Dictatorship. Government by a religious organization without regard to the needs of the citizenry.
Instead, it is an indication of what the Traveller players can personally expect to encounter directly when they interact with the local bureaucracy. When a player is trying to get a license to import Spican Flame Gems they could care less that the government is a unicameral legislature. The player just wants to know how much red tape they will have to cut through, which is what the above table tries to indicate.
Player rarely, if ever, interact with planetary governments directly.
From THE SWORD AND THE STARS wargame by SPI.
- 10 TRIBALISTIC SERIES
- 11 Fraternalism
- 12 Sororalism
- 13 Ancestralism
- 20 UNIQUE SERIES
- 30 ABSOLUTIST SERIES
- 31 Totalitarianism
- 32 Monarchism
- 33 Feudalism
- 34 Despotism
- 40 REPUBLICAN SERIES
- 41 Democracy
- 42 Parliamentary
- 43 Republicanism
- 50 THEOCRATIC SERIES
- 60 COLLECTIVIST SERIES
From Space Opera role playing game by FGU.
- Multi-government (Balkanization)
- Subjugated (conquered by another government)
- Oligarchy (aristocracy or dictatorship)
- Religious Dictatorship
- Corporate State
- Athenian Democracy (no representatives, everybody votes)
- Republican Democracy (representatives)
- Confederacy (not a government, a group of governments)
- Personal Dictatorship
- Empire (not a government, a group of governments)
From GURPS: Space role playing game by Steve Jackson Games.
- No world government: diffuse (hundreds of factions)
- No world government: factionalized (tens of factions)
- No world government: coalition (several factions)
- Caste (as Clan, but each clan has pre-set profession)
- Dictatorship (King, dictator, or warlord)
- Representative Democracy
- Athenian Democracy
- Corporate State
- Technocracy (rule by computer programmers and engineers)
SUB-TYPES (additional conditions and modifications applied to the government type, e.g., "Matriarchal-Socialist Athenian-Democracy")
- Subjugated (government has been conquered militarily or economically)
- Slave State (slavery is legal)
- Sanctuary (will not extradite criminals wanted off-world)
- Military Government (totalitarian if single officer, feudal if junta)
- Socialist (citizens heavily taxed but taken care of by the nanny-state)
- Bureaucracy (un elected bureaucrats have the real power)
- Colony of another government
- Oligarchy (leadership in the hands of a small self-perpetuating clique)
- Meritocracy (government jobs require aptitude tests)
- Patriarchy/Matriarch (all rulers are male/female)
- Utopia (everything is perfect)
- Cybercracy (rule by computers)
The empire's society and culture might go through different stages as well.
The terminology for groups of governments gets complicated. Go to The Tough Guide to the Known Galaxy and read the entry "TRADE FEDERATION".
With most of these labels, all you have to do is add a weird noun and you have your empire's name, e.g., the Unitech Polity, the Dominion of the Technomorphs, the Romulan Star Empire, the Rigel Covenant, etc. Go to The Tough Guide to the Known Galaxy and read the entry "EMPIRE".
Science fiction writers who are writing about interstellar empires might want to contemplate the upheaval caused when the empire reaches "peak antimatter". Also interesting is how the rise of the 17th century Dutch seaborne empire was due in part to their superior utilization of wind energy, in the form of the Fluyt ship. The galactic mercantile empire of the Technomorphs' could be based on the remarkably efficient zero-point-energy reactors of their trader starships.
Ever since Asimov's Foundation novels, the Roman Empire was the model for the Galactic Empire. The fall of the Roman Empire was hastened by invading barbarians hordes from the empire's rim (mostly Goths). So of course the decadent Galactic Empire has to be threatened by Space Barbarians in their interstellar long-ships at the rim of the galaxy.
In science fiction, arguably the most well developed example of this theme is the barbarian Mercians in Poul Anderson's Dominic Flandry novels (though the Mercians became barbarians in Supernova, a David Falkayn story).
The traditional method to create barbarians is for some well-meaning but naive star-travelers to give starship technology to a primitive planet-bound species. The barbarians then proceed to raid all the civilized planets in range, like space-going vikings. The civilized military will (hopefully) eventually put down the barbarians but the war will be long, bloody, and costly. After the barbarian wars, the star-traveling civilization outlaws such technology transfers. Assuming the civilization actually survives the barbarian onslaught.
Of course after the Anti-Barbarian Act of 2500 passes, some criminals will be tempted to break it in exchange for barbarian gold.
However, the concept of primitive barbarians using starships has problems. One wonders about the tech assumptions. Either starships are relatively cheap (ponder the idea of "barbarians" fielding aircraft carriers as a comparison) or the smallest feudal units are pretty good sized. This is sort of addressed in the link above about barbarian gold, and more generally discussed in the section The Sword on the Starship.
There are some practical question about whether a government on the scale of a galactic empire could function, mostly because bureaucracy has poor scalability.
For me, this is one of those gray areas in the writing of science fiction novels. Much like faster-than-light starships in fact. Yes, it may be impossible. But you want it, your readers want it, everybody's doing it.
As a point of terminology, the marches or boondocks of a galactic empire are generally called the "rim" or the "fringe." This represents the astrographical limit of imperial control.
If you are actually trying to make a full fledged interstellar empire, the maximum speed of starships and the maximum speed of communications limits the maximum size of the empire. Timelag creates Limits On Reaction Time. If it takes a year for news of a rebellion on the outer marches of the empire to reach the capital (or sector capital) and another year for a fleet to travel back, this means the rebels will have two years to win the rebellion and fortify in preparation for the arrival of the imperial starfleet.
The defining factor of whether a given planet was part of an empire or not is whether the time delay between the start of the rebellion and the arrival of the imperial punishment fleet is longer than the time required for the rebellious planet to manufacture enough defenses to take care of the punishment fleet.
In other words: if you cannot hold on to the planet, it ain't yours.
An auxiliary factor is the expected size of the punishment fleet. This will depend upon many other factors. A worthless rock-pile might only rate one warship, while The Planet Of Immortality Drugs could get a sky full of ships. An average planet in the middle of the empire could rate a sizable fleet since it could be a nucleus of rebellion for other planets, while the same planet out on the galactic marches of the empire might not get anything.
The expected size of the punishment fleet defines how many defenses need to be manufactured. And the amount of defenses is a big factor in determining whether it is possible to manufacture all of them before the fleet shows up.
Historically on Terra, communication by travel came first (runners, horseback couriers, boat and rail-road train). Later non-travel communication was invented (telegraph and radio), and it was much faster than travel communication.
According to SpaceMike, historically we can use these as general rules:
The largest pre-telegraphy empire By Land was the Mongol Empire. The communication time from the central capital to the rim (or vice versa) was 12 weeks. The empire had a radius of about 5,000 kilometers, and a horse courier could travel about 60 km/day.
The largest pre-telegraphy empire By Sea was a toss-up between the Spanish and the Portugese, though arguably the Dutch went further. It took about 13 weeks to travel from the capital to the furthest colony of the empire. A good ship could cross the Atlantic ocean in about ten weeks, then a few more weeks to go over land to the colony.
So if the galactic empire has no FTL radio but does have FTL courier starships, the speed of the ships and the radius of the empire have to be adjusted so that the ship takes 10 to 15 weeks or so to travel from the central capital to the rim (or vice versa).
Early telegraph had an effective speed of about 1,600 km/hour. So it could send a message from the Mongol capital to the rim in about three hours. Which was a vast improvement over 12 weeks. Radio of course travels at the speed of light, for the Mongol empire it is effectively instantaneous.
Before the age of horseback couriers, information technology ranged from "coconut wireless" (gossip and rumors spread neighbor to neighbor), pigeon post and war pigeons (range 1,800 km, speed 80 km/h), smoke signals (on the Great Wall of China soldiers could transmit warnings 750 km in a few hours, Gondor Style ), and talking drums (160 km/hr).
Smoke signals and talking drums are hard to interfere with by enemy action. However, during World War I and II soldiers were trained to shoot at war pigeons and some actually kept hawks to intercept the pigeons. Stop that pigeon now! A pigeon named Cher Ami was awarded the French "Croix de Guerre with Palm" for heroic service by virtue of delivering messages that saved the lives of 194 US soldiers of the 77th Infantry Division's "Lost Battalion" in 1918. She delivered the message despite having been shot through the breast, blinded in one eye, and had a leg hanging only by a tendon.
Now, as a science fiction author, all you have to do is brainstorm an interstellar equivalent to smoke signals and homing pigeons.
Note the off-hand reference to "sector capitals" above. If your communications/warship speed dictate that your empire can be no more than X parsecs wide with central control in the capital then you can obviously make your empire larger if you delegate control to a series of sub-capitals at some distance.
In ancient Rome such divisions were called an Imperial Province. Ever since Isaac Asimov wrote his Foundation trilogy, divisions in a galactic empire are called "sectors" (though classic Star Trek messed up and called them "quadrants").
Asimov also popularized the naming of sectors after the brightest star contained. This meant that Sol was located in the "Sirius sector", since Sirius has an intense absolute magnitude of 1.4 and is a mere 8.6 light-years from Sol. Vega is much brighter with an absolute magnitude of 0.58, but is much farther away at 25 light-years. Poul Anderson's novels The Rebel Worlds and its sequel The Day Of Their Return are set in "Sector Alpha Crucis".
Of course sector captial rule runs the risk of an ambitious sector governor getting ideas about declaring independence from the Empire. On the other hand the sector governor had better be real sure of their chances for success. Empires consider breakaway sectors to be what you call "existential threats"; so the reaction tends to be swift, overwhelming, and harsh.
An important principle is Jerry Pournelle's Iron Law of Bureaucracy.
And in Robert's Heinlein's The Moon is a Harsh Mistress, he gives the opinion that the key question which defines a political system is:
For example, if a person kills somebody, it is Murder, if the government kills somebody it is Capital Punishment.
Arthur C. Clarke insists that large galactic governments are impossible because of their intolerable complexity. This is based upon a simple truth: As population grows arithmetically, the number of possible interactions rises geometrically.
...But all such attempts to showcase the "numbing complexity" of galactic government are unconvincing because information flows in interstellar empires needn't be all that serious, though we'll obviously need computer-bureaucrats to handle most of the red tape.
... Since silicon microcircuits can theoretically process ten billion times more data than human neurons, pound for pound and bit for bit, then maybe with computer help humans could run empires ten billion times larger than the historical imperial scale. The pre-computer Roman and British Empires ruled 30 million and 300 million people, respectively, before becoming too large. Perhaps a galactic empire using electronic administrators could handle 1019 people before it got too cumbersome. That's a billion planets with ten billion inhabitants each!
...According to Mosca's Rule: "The larger the political community, the smaller will be the proportion of the governing minority to the governed majority." Roberto Michels' "Iron Law of Oligarchy" goes still farther; asserting that growing political systems, especially empires, invariably evolve into more oligarchic (rule by the few) forms of government. So while democratic or republic empires are possible, as they grow they will slowly but implacably drift towards autocracy.
...Specialization leads to hierarchy and span of control. Hierarchy means levels of increasing managerial specialization, each level having supervisors of equal responsibility. Span of control is the number of subordinates administered by each supervisor.
Studies of government and private organizations show that the number of hierarchical levels and the span of control tends to increase as the whole system expands, but also that the two are complementary. For a given size, a wider span of control means fewer levels are needed above and below each span, producing a broad "flat" organizational pyramid. More levels means small spans suffice, giving a narrow "tall" organization with tighter control from the top. Humans seem naturally to prefer rather tall organizations, perhaps partially due to our simian heritage of vertical troupe dominance chains. Sentient extraterrestrials evolved from carnivorous cats or intelligent octopi, solitary creatures by nature, would favor flatter organizational structures.
...The best human organizations have spans of five subordinates per supervisor. Using this figure, a galactic empire controlling ten billion planets having ten billion inhabitants each would require at least 21 hierarchical levels. It is well known that human organizations with more than 6-8 levels become excessively bureaucratic.
...If we optimistically assume that a control span of 100 subordinates can be achieved for, say, human policymakers, then the number of hierarchical levels can almost be halved - from 21 down to 11. The structure of Sir Roger's bustling empire might then look something like Figure 1.
Sir Roger's Galactic Empire
(Span of control ~=100, Hierarchical Levels ~=11)
1 Emperor 1 1010 1020 2 Cabinet Minister 100 108 1018 3 Peer 10,000 106 1016 4 Royal Magistrate 106 10,000 1014 5 Starkeeper 108 100 1012 6 Planetary Governor 1010 1 1010 7 Continental Regent 1012 108 8 Knight 1014 106 9 Burgess 1016 10,000 10 Gentry 1018 100 11 Commoners 1020 1
Even with all this mechanized assistants, the Emperor will have absolutely no contact with non-interstellar personnel. His relationship with his magistrates would not be unlike those between the United States President and the mayors and city managers of American cities. To the Galactic Emperor, the starkeepers, each responsible for 100 worlds, will seem much as U.S. citizens appear to their President - with only a very rare audience being granted. Planetary governors are "the rabble."
Organizational specialist studying "control loss theory" say that in tall, human-like galactic organizations, memos would have to travel down through so many channels that most orders from top to bottom levels could be almost totally degraded to noise by they time they arrive. Economist Oliver Williamson devised a simple model to predict how goals generated at the top of a hierarchy are implemented at the bottom after passing down a number of levels in the chain of command.
If each message, on average, passes through a level 95% intact, then Williamson would claim that since orders must change hands 10 times, Sir Roger's Empire is (0.95)10 = 60% effective in carrying out its aims. At 85% per level (Williamson's lower limit based on studies of actual human organizations), effectiveness drops to 20% and only one-fifth of the Emperor's plans for the commoners ever reach fruition.
Peter B. Evans uses Williamson's control loss model to show that higher efficiencies are possible when the Emperor switches to "multiple hierarchy" systems, such as the dual hierarchy. If the Emperor creates a complete second command hierarchy in parallel with the first, his effectiveness rises by nearly two-thirds. The superiority of dual hierarchies is well-known in business (line-and-staff) and in public administration (especially Communist bureaucracies). Lattice structure systems are a more sophisticated form, involving a complete lattice of hierarchial links providing a startling multiplicity of pathways to the top. Such novel system my not encourage galactic stability, but the opportunities for palace intrigue are legion!
So the problem is that with centralized control, eventually an empire becomes too huge to manage. In technical terms, centralized control does not scale well.
The solution is to get rid of central control, but does that not mean the resulting chaos can no longer be called an "empire?" Maybe, but maybe not. Let's talk about termites and ants.
Look at that picture of a splendid termite mound. It is comparable to Antonio Gaudí’s church. Surprisingly, the termite mound was not constructed under any sort of centralized control. In fact, the workers cannot even perceive the overall shape of the mound (worker termites are blind). Yet the mound is built including elaborate arches. It even incorporates galleries and chimneys to manage temperature and humidity. How is this possible?
Termites use "bottom-up" management instead of the "top-down" management used with central control. Even though a given termite only has a miserable 2-volt brain it still has just enough intelligence to perform specific actions (e.g., glue your grain of sand on that growing pillar there) when triggered by local cues (scent pheromones by other local termites, temperature and humidity conditions, etc.). A bunch of simplistic actions can achieve surprisingly sophisticated result by the magic of Emergent Behavior.
The point is: management by emergent behavior is infinitely scalable. There is no size limit. Galactic "empire," here we come.
Granted, this is not going to look like the empire from Star Wars or Asimov's Foundation. But it has the virtue of being actually workable.
It also would be a very good fit for an alien empire that had a hive mentality, since they are traditionally portrayed as insect-like aliens to start with.
Yes, human beings are more intelligent than ants. That's not the point, in such an empire the operative units might be the equivalent of a division within a corporation. Such divisions often exhibit less intelligence than your average ant.
Taken to an extreme, a galactic empire could be modeld on your typical slime mold, which is actually a colony creature that is a congomeration of single-celled critters. in 2016 scientists were flabbergasted when they discovered a slime mold was capable of learning, even though the blasted thing did not have a brain.
Even the process of fighting off an enemy starfleet can be handled this way. The defense can be handled locally as an artificial immune system.
One of the draw-backs of emergent management can be seen in ant-hills. It is not unusual to see an ant-hill at war with itself. Since there is no central control, the various local groups have no way of knowing that the other group is part of the same hill.
There are several terms associated with this process, some of which overlap.
Many species of ants communicate with their nest-mates using chemical scents known as pheromones. Pheromones can be used in many ways by ants and other animals (including humans), but we are most interested in how ants use pheromones to direct each other through their environment — this particular task is closely related to the problem of directing the flow of information through a network.
Consider a colony of ants that is searching for food. Casual observation of an ant colony will reveal that ants often walk in a straight line between their anthill and the food source. The concept of an "army" of ants marching in file has permeated popular culture, and most people who live in ant-friendly locations (nearly every human-friendly place in the world) have seen this particular behavior first-hand. Marching in a straight line, which is usually the shortest route, seems like an obvious solution to the problem of efficient food transportation, and we might pass it off as uninteresting.
Of course, we humans would do the same thing, and in fact we do march in lines along direct routes when we travel in groups as caravans. When we look down at a line of ants from above, we might simply think "so what?" But we have huge brains compared to ants, along with extraordinarily complicated visual systems (over 25% of the human brain is devoted to vision), and we also have a more elevated view of the terrain. Even with these advantages, efficient route-finding, especially through an environment that is full of obstacles, is not an easy task for us. Given ants' comparatively simpler brains, we cannot pass their collectively intelligent route-finding off as trivial. So how do they do it?
Suppose that an ant colony starts out with no information about the location food in the environment. The human strategy in this case would be to send out a "search party" to comb the surrounding area — the scouts who find food can bring some back to the home-base and inform the others about where the food is. Ants do search for food by walking randomly, which is similar to the human "combing" approach, but two issues prevent ants from implementing a human-style search party directly. First, how can an ant-scout, upon discovering food, find its way back to the nest? Second, even if a scout makes it back to the nest, how can it inform the other ants about the food's location? The answers lie in a clever use of pheromones.
To solve the "finding home" problem, each ant leaves a trail of pheromone as it looks for food. In the following example pictures, the pheromone trail left by each wandering ant is shown in transparent red.
When an ant finds food, it can follow its own pheromone trail back to the nest — this is similar to leaving a trail of bread crumbs through the woods to find your way back home. On the way back to the nest, the ant solves the "telling others" problem by laying down more pheromone, creating a trail with an even stronger scent. In the following picture, ant A reaches the food first and then follows its own trail back to the nest, while the other three ants keep wandering.
When other ants run into a trail of pheromone, they give up their own search and start following the trail. In the following picture, ant D discovers the double-strength trail left by ant A and starts to follow it. Ant C encounters the single-strength trail left by D and follows that trail, which will eventually lead to A's trail as well. Ant B eventually discovers its own route to the food source that is completely disconnected from the routed used by A.
If a pheromone trail leads an ant back to the nest with empty jaws, it turns around and follows the trail in the opposite direction. Once an ant reaches the food, it grabs a piece and turns around, following the same trail back to the nest. On the way back, an ant reinforces the trail by laying down more pheromone. In the following picture, ant C joins A's trail but follows it it the wrong direction, reaching the nest empty-jawed. Ant B follows its own trail back to the nest — it never comes in contact with the more direct trail that the other ants are using. A and D carry food back to the nest along the established route.
Once they reach the food, they grab a piece and turn around, following the same trail back to the nest. On the way back, they reinforce the trail by laying down more pheromone.
We have explained how ants find food in the first place, but how do they find the shortest route to the food? One more detail helps to answer this question: ants prefer to follow the trails with the strongest pheromone scent. Shorter routes between the nest and the food are completed faster by each ant that takes them. For example, if ant X is traveling along a 10-meter path to the food repeatedly, and ant Y is traveling along a different 20-meter path repeatedly, ant X will make twice as many trips in an hour as ant Y. Thus, ant X will lay twice as much pheromone on its trail as ant Y. Given the choice, ants will prefer the strongly-scented 10-meter path over the more weakly-scented 20-meter path. The following picture demonstrates this point. When B deposits food at the nest and sets out for another trip, it discovers the strongly-scented path used by the other ants and abandons its own path. At this point, all four ants are using the path discovered by ant A to carry food between the source and the nest.
Over time, many paths between the nest and the food are explored, but the scent on shortest path is reinforced more than the other paths, so it quickly becomes the most popular path, and soon all of the ants walk in file along it.
The ant approach to route-finding is quite different from the way humans navigate their environment. We would visually study the environment as a whole and try to "plan" the best route ahead of time. Of course, the ant method has advantages over our "high level" approach. For example, the ant method works fine in complete darkness. When it comes to navigating without visual cues, humans are comparatively helpless.
The ant method can be distilled into simple rules followed by each member of the colony:
Condition: Action: Not carrying food
Not on pheromone trail
Not carrying food
On pheromone trail
Follow pheromone trail
Lay more pheromone
Reach home without food
On pheromone trail
Follow trail in opposite direction
Reach food Pick up food
Follow trail in opposite direction
Carrying food Follow trail
Lay more pheromone
Reach home with food Deposit food
Follow trail in opposite direction
Though the table of "Simple Rules" above is relatively easy to understand, it still contains seven rules, which is not as simple as we might like. Also, there is a bit of sub-optimal behavior lurking: an empty-jawed ant may follow a pheromone trail in the wrong direction, all the way back to the nest. Of course, when an empty-jawed ant reaches the nest, it turns around and eventually makes its way back to the food, but this is still a wasted trip. The problem seems to be the lack of directionality in the trail, and it is certainly difficult to represent direction when all you have to work with are spots of chemical scents.
In the world of networking programs, we are not limited to directionless trail markers. By adding direction to the trail markers, we actually get a much simpler set of rules
Suppose that we augment the ants with two types of pheromone instead of just one, and suppose that we give these pheromones directionality. The first pheromone can be thought of as a "this way home" marker, and we will call it a home-finding pheromone. The second pheromone will be the food-finding pheromone, and it points in the direction of the food source. When ants leave the nest in search of food, they walk randomly, leaving trails of home-finding pheromone as they go. When an ant finds food, it picks up a piece and follows its home-finding trail back to the nest, leaving a trail of food-finding pheromone as it goes. If a wandering ant ever encounters a food-finding trail, it follows that trail to the food source, leaving more home-finding pheromone as it goes.
This simple modification reduces the complexity of our rule set:
Condition: Walk: Mark Ground With: Not carrying food on food-direction trail, or randomly otherwise home-direction pheromone Carrying food on home-direction trail food-direction pheromone
The simplest model of a growing galactic empire is a swelling balloon. Starting at the origin planet the spherical colonization wave will grow at the rate of empire expansion.
The much more messy and difficult to figure model of expansion is via Civilization Clusters. But this model more or less precludes the existence of an empire anyway, so it can be ignored by science fiction writers trying to build an empire.
Imagine a planet inhabited by imperialistic little opportunistic aliens, just like us, whose star is in a galaxy totally uninhabited by any other intelligent creatures (or at least uninhabited by creatures who can defend themselves). Once our imperialists discover interstellar travel, they will spread to the surrounding stars in a manner similar to a watermelon hitting the sidewalk. As previously mentioned, their empire will approximate an expanding sphere, with their homeworld at the center.
It is useful to be able to calculate a bit of geography for your interstellar empires. The control radius between the Imperial (or Sector) Capital and the Rim give you the size of your empire. It would be nice to be able to figure out how many stars are inside the empire, especially if you want to ensure that the Imperial Bureaucracy can actually handle it.
Warning, the galactic plane in the neighborhood of Sol is only about 1,000 light-years thick. If the radius is over 500 light-years the equations will calculate give an incorrect result (too many stars).
Nstars = Rly3 * StarDfactor
NhStars = Rly3 * HStarDfactor
- Nstars = number of stars
- NhStars = number of stars with habitable planets
- StarDfactor = star density factor, use 0.017 or see below
- HStarDfactor = habitable star density factor, use 0.002 or see below
- Rly = empire radius in light-years
- x3 = cube of x, i.e., = x * x * x
Given the number of stars or habitable stars inside the imperial borders, the empire radius is:
Rly = cubeRoot(Nstars * StarRfactor)
Rly = cubeRoot(NhStars * HStarRfactor)
- Rly = empire radius in light-years
- Nstars = number of stars
- NhStars = number of stars with habitable planets
- StarRfactor = star radius factor, use 59.68 or see below
- HStarRfactor = habitable star radius factor, use 464.46 or see below
StarDfactor, HStarDfactor, StarRfactor, HStarRfactor: all depend upon the stellar density, that is, how many stars per cubic light year. Currently the best estimate I could find for stellar density in Sol's neighborhood is Erik Gregersen's 4.0×10-3 stars per cubic light year. The density of stars with human habitable planets I calculated by using Tarter and Turnbull's Habcat dataset. Simplistic math on my part gave a value of 5.14×10-4 habitable stars per cubic light year. But keep in mind that the HabCat dataset came out in 2003.
StarRfactor = StellarDensity / ( (4/3) * π )
StarDfactor = 1 / StarRfactor
HStarRfactor = HStellarDensity / ( (4/3) * π )
HStarDfactor = 1 / HStarRfactor
- StellarDensity = stars per cubic light-year
- HStellarDensity = habitable stars per cubic light-year
You can find how I derived this equation here.
|Erik Gregersen||4.0×10-3 s/ly3||59.68||0.017|
|Globular Cluster||2.02×100 s/ly3||0.118||8.461|
|Galactic Core||2.88×100 s/ly3||0.083||12.064|
|Galactic Center||8.5×101 s/ly3||0.003||356.047|
For truly cosmic-scale excitement it is hard to beat a second empire at war with the first empire over the same real estate.
Starting with two empires: assuming that they have a rough technological parity the two spheres will expand until the borders make contact. Then it will resemble two soap bubbles stuck together, with a flat "neutral zone" populated by spies, smugglers, covert battlefleets intent on causing border incidents, and planets named "Casablanca".
In reality, the "neutral zone" will be the less like a plane and more like the intersection of the two spheres. It will be like a lop-sided lens shape. The equation for calculating the volume of the neutral zone can be found here
In his paper Long-term consequences of observing an expanding cosmological civilization S. Jay Olson explores the consequences of colliding empires. One of the assumptions is the growing spheres are domains of expanding civilizations belonging to distinct species who do not wish to share resources; i.e., they are selfish bastards just like us. This results in the formation of hard boundaries between the spheres; i.e., "national" borders which can only be crossed at the expense of sparking interstellar wars and all manner of unpleasantness.
The boundary that forms between two expanding civilizations is a hyperboloid. The exact form depends upon empire expansion speed, separation distance between empires, and starting time of each empire's colonization expansion.
In the diagrams below, Empire Alfa's origin world is located at coordinates -C,0,0 and Empire Bravo's origin world is at coordinates +C,0,0. The distance between the two is 2C. Empire Alfa starts their colonial expansion at time t1 while Empire Bravo starts at time t0. t1 is earlier than t0, meaning that Empire Alfa starts first. It is assumed that Empire Alfa's expanding domain has not yet engulfed Empire Bravo's origin world at time t0, meaning Bravo gets a chance to expand instead of starting out enslaved by Alfa.
The paper assumes that both civilizations will have the same expansion speed, which is as fast as physically possible. Both empires will frantically research how to accelerate their expansion speed until both run up against the theoretical maximum.
At time t1 Empire Alfa starts their colonial expansion. Later at time t0 Empire Bravo starts their expansion (at point C), while Alfa has expanded to a sphere with a radius of 2A (the blue circle). r1(t0) is a fancy way of saying "radius of empire 1 at time zero."
Both spheres will expand, and collide at a point halfway between the edge of the blue circle and point C; that is halfway between boundary of Alfa's sphere at time t0 closest to Bravo's origin world, and the location of Bravo's origin world itself (orange hyperboloid).
When Alfa's sphere has expanded to the violet circle and Bravo's sphere has expanded to the yellow circle, the border between will be the orange hyperboloid.
Mathematically, the hyperboloid will have its foci at -C,0,0 and +C,0,0 (the coordinates of the two empire's origin planets). The semi-major axis will be A (half the radius of Alfa's sphere when Bravo starts expanding). The border will be the x > 0 sheet of the hyperboid.
The "canonical form" of the border hyperboid is:
B2 ≡ C2 - A2
(x2 / A2) - (y2 / B2) - (z2 / B2) = 1
The volumes of two empires can be calculated by hideously complicated equations (2) and (3) found in the paper. No, I'm not going to try and transcribe them here.
The main focus of the paper is what happens when the inhabitants of Origin Planet Bravo become panicked when they observe Origin Planet Alfa start their colonization program. Bravo will instantly start their own colonization drive.
The trouble is, the speed of light means that when Bravo sees Alfa's starting expansion, Bravo is seeing what happened in the past. If Alfa is ten-thousand light-years away from Bravo, it means that when Bravo sees Alfa's start, Alfa actually started ten-thousand years ago. Which is a heck of a head-start.
What this boils down to is that time t0 will occur X years after t1, where X equals the distance between the two empires in light-years.
t0 = t1 + (2 * C)
where t0 and t1 are in years, and C is in light-years.
In FIG 2, the separation distance 2C is an absolutely enormous three billion light years. Graphs (a), (b), (c), and (d) are for expansion speeds of 0.3, 0.6, 0.9, and 0.99 the speed of light respectively. The faster the expansion speed, the smaller the size of Empire Bravo (blue area)
If Origin Planet Bravo observes two empires start their expansion, Bravo is in big trouble.
The graphs in FIG5 shows what happens if Empires Alfa and Charlie are the same distance from Bravo (3 billion light-years, angular separation of 90°), and both start their expansion simultaneously.
At expansion speeds of 0.3 and 0.6 of the speed of light (a and b), Empire Bravo is squeezed (blue area). At the critical expansion speed of 0.75765 of the speed of light (c) Empire Bravo will become "trapped", it will become englobed by Alfa and Charlie with further expansion being impossible. At higher expansion speeds such as 0.9 (d) the size of Bravo's blue area grows smaller.
Adding even more empires makes for a more interesting situation, but the complexity goes up by something like the square of the number of empires.
Obviously the following analysis could also apply to sectors within a single empire.
The following analysis assumes that empires are evenly spaced apart in the galaxy and have equal radius. Which is highly unlikely to be true, but close enough for a first approximation. Meaning you can plot out evenly spaced empires to examine their mutual gross geography, then later randomly move them by hand to make something more believable.
The easiest way to simplify the analysis of galactic empire geography for your science fiction novel is to cheat and make the empires have a diameter of about one thousand light-years, e.g., the average thickness of the galactic disk. This means the empires all lie in a plane, so you can draw a two-dimensional map and not have to worry about three-dimensional overlapping. Assuming all the empires have the same diameter the empires will arranged like hexagons on a hex-grid (assume even spacing, remember?). For what it is worth the latest estimate of the distance between Sol and the galactic plane is 20.8 +/- 0.3 pc (i.e., about 69 light years above the galactic plane). So Sol is close enough for government work to being exactly on the galactic plane.
Looking at the diagram, one can see that Empire Charlie can attack Empire Sol, Empire Bravo, and Empire Delta without trespassing on any other empire. But Empire Charlie cannot attack Empire Echo without sending their battlefleet through either Empire Sol or Empire Delta.
The diagram uses spheres for simplicity, but those concave triangle regions are going to be gobbled up by empires as well. Divide each triangle region into thirds, with slice of the pie going to the nearest empire. In other words the spheres will become vertical hexagonal prisms
Instead of making each empire's diameter the same you can assume that the origin stars of each empire are on average equally spaced, so the centers of the empires will be in a hexagonal array but the diameter of each empire may vary. The galactic disk is only 1K light-years thick, but each empire can spread horizontally until it runs into the current extent of each of the six neighbor empires at the border.
|Empire Sol||(0, 0, 0)|
|Empire Albert||(500, 870, 0)|
|Empire Bravo||(1000, 0, 0)|
|Empire Charlie||(500, -870, 0)|
|Empire Denver||(-500, -870, 0)|
|Empire Echo||(-1000, 0, 0)|
|Empire Foxtrot||(-500, 870, 0)|
The more complicated way is to use as a first approximation something based on the close-packing of equal spheres. This is usually used for stacking oranges or cannon-balls, but it works for interstellar empires as well. This allows one to have empires arranged three-dimensionally without making you pull your hair out by the roots.
This assume even spacing, remember?
The following analysis uses what is known as hexagonal close-packed (HCP), do not use face-centered cubic.
The secret is to harness the awesome power of the Cuboctahedron.
Of all the quasiregular polyhedrons this is the only one where the center-to-vertex radius equals its edge length. In other words, in the diagram to the right, every single line is the same length.
It is sort of a three-dimensional equivalent to a hexagon. Hexagon grids make great two-dimensional flat maps. So cuboctahedron grids make great three-dimensional space-filling maps. You place your galactic empires on the vertexes, and use the line to figure the distance from empire to empire. By the same token square grids make lousy 2D flat maps (see link above), and cube grids make similarly lousy 3D maps.
Buckminster Fuller admired this polyhedron, naming it a "Vector Equilibrium" (which I am telling you because you may encounter the term if you do any research on the topic). The name is because if the edges are considered to be vectors, the outward force of the center vectors is exactly balanced by the confining force of the surface vectors. The polyhedron is in equilibrium. But I digress.
|Empire Albert||0, 59, 81|
|Empire Bravo||51, -29, 81|
|Empire Charlie||-51, -29, 81|
|Empire Sol||0, 0, 0|
|Empire Denver||50, 87, 0|
|Empire Echo||100, 0, 0|
|Empire Foxtrot||50, -87, 0|
|Empire Golf||-50, -87, 0|
|Empire Hotel||-100, 0, 0|
|Empire India||-50, 87, 0|
|Empire Juliette||51, 29, -81|
|Empire Kilo||-0, -59, -81|
|Empire Lima||-51, 29, -81|
Here is a quick example. This shows the empire of Sol, and the twelve alien empires that surround it. All of them are one empire-diameter away, and the border between each alien empire and the Solarian Empire is one-half an empire-diameter away.
Meanwhile, this simplistic map also shows for each alien empire its closest four other alien empires. For instance, the five empires closest to the Vorpal Bunnies are: Sol, Berserkers, Space Vikings, Death Robots, and Gray Goo. These are empires that the Vorpal Bunnies might ally with or be at war with.
As mentioned above, you can use this for sectors within a single empire. In Asimov's novels, sectors are named for the brightest star contained. So Sol is in the "Sirius Sector". In Brian Aldiss' collection Starswarm, the sectors are named after colors (vermillion, azure, violet), though one was named Sector Diamond. That did catch my fancy. So if you have 13 sectors, they could be Sector Aquamarine, Diamond, Emerald, Opal, Ruby, Sapphire, Spinel, Topaz, Amethyst, Citrine, Peridot, Zircon, and Trystine.
So at each vertex of the cuboctahedron you place an empire-sphere with a diameter of one edge-length to approximate the geometry of the empires.
As with the 2D flat map, the little voids between spheres will also be gobbled up by various empires. If you inflate each empire sphere so it gets its fair share of all the adjacent voids, the sphere will turn into an odd geometric polyhedron called a Rhombic dodecahedron. I didn't mention this at first because you are probably unfamiliar with the shape and they are confusing. But everybody has seen a ball.
Rhombic dodecahedron can be stacked with zero voids between them, just like cubes. But they are better than cubes since a given cube's neighbors are at variable distances from the empire center. Since Rhombics are duals of Cuboctahedrons, they too are equidistant from all their neighbors. Which is vital for an empire map.
A rhombic dodecahedron just small enough to contain an empire sphere (that is, the empire sphere is an inscribed sphere within the rhombic dodecahedron where the sphere is tangent to each face of the RD) with have an enclosed volume that is about 1.36 times the volume of the empire sphere. Which makes sense since you are adding the volume of the little voids to the empire. You need to know this since the volume tells you how many stars are inside.
The volume of a rhombic dodecahedron enclosing an empire sphere of a given empire radius is:
RDvol = 1.36 * (4/3) * π * EmpireRadius3
RDvol ≅ 5.6967544 * EmpireRadius3
RDvol = volume of rhombic dodecahedron, in cubic light-years or whatever
EmpireRadius = radius of the empire sphere, in light-years or whatever.
π = pi = 3.14159265...
The same rhombic dodecahedron with have an edge length which is about 1.2247 times the length of the empire sphere radius. You may or may not need to know this, but it may come in handy if you were carving a physical model or something.
I am now going to show my math of how I derived those multiplication factors. If you could care less, skip ahead to the next section.
EmpireVolume = (4/3) * π * EmpireRadius3 (basic formula for volume of a sphere)
EmpireRadius = radius of the empire sphere, in light-years or whatever.
EmpireVolume = volume of empire sphere, in cubic light-years or whatever
π = pi = 3.14159265...
EmpireRadius = (√6 / 3) * RDedge (formula for radius of inscribed sphere in rhombic dodecahedron, where the sphere is the empire sphere)
RDedge = EmpireRadius / (√6 / 3) (use algebra to solve for RDedge)
RDedge ≅ EmpireRadius / 0.8165
RDedge ≅ EmpireRadius * 1.2247 (multiplying by reciprocal is same as dividing)
RDvol = ((16 * √3) / 9) * RDedge3
RDvol = ((16 * √3) / 9) * (EmpireRadius / (√6 / 3))3
RDvol ≅ ((16 * √3) / 9) * (EmpireRadius * 1.2247)3
RDvol ≅ 3.0792 * (EmpireRadius * 1.2247)3
Now to do an in-depth analysis, you need more than the 12 empires surrounding Sol, the Sol-shell empires. You should also know the 12 empires surrounding each Sol-shell empire, not just five of them.
To do this you'll need to add another layer of empires around the original map.
So if you have just one sphere (Sol Empire) and surround it with a layer of other spheres in the form of a cuboctahedron, you have what Buckminster Full calls a "one-frequency" layer. The number of spheres in a layer is (10*F2) + 2 where F is frequency. So the one-frequency Sol-shell layer has (10*12)+2 = 12 spheres. Add the center sphere and you'll see the basic map has 13 spheres.
Add a layer to that and you'll have a two-frequency layer. (10*22)+2 = 42 spheres. Add the original 13 spheres and you'll see the expanded map has 55 spheres.
With this expanded map, you will have the 12 neighbors of each of the Sol-shell layer empires. Sadly you will only have five neighbors of the outer-layer empires but you have to stop somewhere. The next outer layer will need 92 more spheres, that way lies madness. 55 empires is more than enough to keep you busy.
I used Blender 3d to whip up a couple of charts of 55 in a cuboctahedral array, for your empire plotting convenience. Make notes using your favorite paint program. Alternatively, download the PDF versions and print them on your printer (they are sized to be 8 inches wide) and make notes using a pencil. Go nuts plotting the locations of rival empires in three dimensions.
About thirty years ago I tried to draw such a chart manually on triangular graph paper but the result was not usable. Blender made it a snap. Especially making the twisted version so you could see all the empires, that would have taken me months to do with pen and paper.
This effort comes under the heading of "create custom artwork for diagrams and illustrations of difficult concepts", which I promised to do and have been doing.
Empire Center Coords
(Empire Dia 100 LY)
|Mike||0, 114, 164|
|November||50, 29, 164|
|Oscar||-50, 29, 164|
|Tango||100, -57, 164|
|Uniform||0, -57, 164|
|Yankee||-100, -57, 164|
(Upper Mid Layer)
|Albert||0, 59, 81|
|Bravo||51, -29, 81|
|Charlie||-51, -29, 81|
|Papa||50, 145, 81|
|Quebec||100, 57, 81|
|Romeo||-100, 57, 81|
|Sierra||-50, 145, 81|
|Victor||150, -29, 81|
|Whiskey||100, -114, 81|
|X-Ray||0, -114, 81|
|Zulu||-100, -114, 81|
|Alpha||-150, -29, 81|
|Sol||0, 0, 0|
|Denver||50, 87, 0|
|Echo||100, 0, 0|
|Foxtrot||50, -87, 0|
|Golf||-50, -87, 0|
|Hotel||-100, 0, 0|
|India||-50, 87, 0|
|Gamma||100, 171, 0|
|Delta||150, 87, 0|
|Epsilon||0, 171, 0|
|Theta||200, 0, 0|
|Iota||150, -87, 0|
|Mu||100, -171, 0|
|Nu||0, -171, 0|
|Omicron||-100, -171, 0|
|Pi||-150, -87, 0|
|Tau||-200, 0, 0|
|Upsilon||-150, 87, 0|
|Chi||-100, 171, 0|
(Lower Mid Layer)
|Juliette||51, 29, -81|
|Kilo||-0, -59, -81|
|Lima||-51, 29, -81|
|Zeta||100, 114, -81|
|Eta||0, 114, -81|
|Kappa||150, 29, -81|
|Lambda||100, -57, -81|
|Xi||50, -145, -81|
|Rho||-50, 145, -81|
|Sigma||-100, -57, -81|
|Phi||-150, 29, -81|
|Psi||-100, 114, -81|
|Omega||100, 57, -164|
|Aleph||50, -29, -164|
|Beth||0, 57, -164|
|Gimmel||0, -144, -164|
|Daleth||-50, -29, -164|
|Zayin||-100, 57, -164|
Three or more empires can interact in quite a few interesting ways, depending upon the relative strengths of the empires involved.