User:H. H. P. M. P. Cole/Rulespaces in the CA Kingdom
(semi-joke-page)
All rules shall be apgsearchable or ye shall not enter here.
TODO: add multistate
Map
INT Archipelago
┌──────────────┐
┌───────────────────────────────────────────────────────────┐ │ North Pole │
│ │ │ ║ │
│ ╔════════════╦═ Orthogonoidea ═╦════════════╗ │ │ ║ │
│ ║ ║ ║ ║ └──────────────┘ ║ │
│ ╚════ Land of Friends ═╦═ Linealand ═════ Vitae ═══ Tritoquatronum ═══ New Vichniac │
│ ║ ║ ║ ║ ║ ┌───────────────────────┘
│ ╚═════════╬══════╩═ Inactivia ═╩══════════════╝ │ Diamoeba
│ ║ ┌───────────────────────────────────┘
│Dump I ════════ Dump II ═══╝ │ RRO Whitespacia
└─────────────────────────────┘
Wojtowiczia ┌──────────────────────────────────────────────────────────┐ │ Space Colony │ │ ║ │ │Sotonia ═══ The Kaleidome ═══ Boscovia ═══ Semi-Boscovia │ │ ║ ║ ║ ║ │ │ ╚═════════════╩═ Inactivia ════╩═══════════════╝ │ └──────────────────────────────────────────────────────────┘
Factorioland ┌──────────────────────────────────── │ Factorio Factorio II │ ║ ║ │ ╠═══════╝ Rowett's Rockets │ ║ ║ │ ╠════════════╝ │ ║ │R2 ═══ R3 ═══ R4 ═══ R5 ════════ ... │║ ║ ║ ║ │╚══════╩══════╩═ Inactivia ═════ ... └────────────────────────────────────
TODO: add lands (names need workshopping):
- Variations on Life (Immigration, Brew, RainbowLife, Double, Triple, QuadrupleB3S23)
- Generations (Brian's Brain-Star Wars, signal rules (A Wire-like World), stabilized 3,4-Life)
- Multistate (Panconfigurationals, SoManyShips, SMOS iteration...)
INT Archipelago
These rules have the property that everything in them can be expressed by a single Hensel string. This is the spawn point of all CA enthusiasts.
This is the map of the mainland.
Main Sequence
The Land of Friends
Exemplar rule: B2-a/S12
Many objects are very small (about 2 to 4 cells), and are usually high-period. Most rules in this rulespace tend to have a 'banana' c/4 diagonal or c/6 diagonal spaceship.
Soups in this rulespace tend to be short-living, with many high-period oscillators. They must have S1e, though, or the characteristic 2-cell objects might not exist!
The odd replicator might come up though. Be careful!
Linealand
Exemplar rule: B2-a3-i/S23-a
Soups in this rulespace tend to be short-living, with many long lines coming from soup, and possibly the odd spaceship or wickstretcher.
Vitae
Exemplar rule: B3/S23
Vitae is a city ruled by the existence of many small still-lifes, and usually a small c/4d spaceship.
This city is a popular tourist destination.
Soups in this rulespace tend to be long-living and often consist of self-localizing structures. A requirement by these rules is that these rules must have S2a.
Tritoquatronum
Exemplar rule: B34a/S34
Tritoquatronum's inhabitants include three notable 4-cell objects we call the block, bleeper, and fish. Usually these inhabitants are still or period-2, although it is not rare to find higher-period inahbitants.
Spaceships include a common 6-cell c/3 orthogonal, but it is not rare to find small slow spaceships or the odd diagonal spaceship.
Soups in this rulespace tend to be long-living and often consist of one giant blob slowly decreasing in size. A requirement by these rules is that these rules must not have S2a.
The rule Day and Night lives here, though it can't tell whether it is a resident of Diamoeba or Tritoquatronum.
New Vichniac
Exemplar rule: B5678/S45678
This rulespace is characterised by low activity generally settling into large SLs. The odd oscillator might come up.
The North Pole
Exemplar rule: B/S012345678
Such rules have very little activity, settling fast but forming many periodic objects. The periodic objects are very likely to be gigantic, and proportional to the size of the soup.
Peripherals
Orthogonoidea
Exemplar rules:
- B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e (Snowflakes)
- B2cen3ek4ejkwz5-ein6an7e8/S12an3-eijq4enrty5e6k (Dominoplex)
- B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8 (Einstein)
It is said that the three rules, though very different - Dominoplex has Friends-type behaviour, Einstein edging in Linealand, and Snowflakes being a representative of what might seem to be on the left of the Land of Friends, united to form the three territories of Orthogonoidea.
They work together to make CA engineering easy (or at least easier) for all. They have friends from Vitae and probably Tritoquatronum. Their friends include Harvest Moon and Glimmering Garden, two that seem to be the analogue of (Earth) China in this land.
Inactivia
Exemplar rule: B35/S24, B3/S12, B4/S34.
All these rules are deemed inactive as they tend to dry up particularly quickly with small objects forming. This part of the rulespace exists for practically every single neighbourhood.
Dump I
Exemplar rule: B1e2-an3ejkry4cjkrw5ceny6c7c/S2i3cknqy4cknqty5ej6ce
Dump I is so named because the Council found exceptions to the 'B1e is explosive' rule and put them in here, as they needed a home to be in.
Dump II
Exemplar rule: B2a3r4i/S or B2ac3q/S0
Same function as Dump I, but nonexplosive B2a rules. They seem to fall under the two general types of B2a3r4i/S or B2ac3q/S0.
Islands
There are too many islands surrounding the mainland. Here are the three largest islands (the others are far, far smaller).
Diamoeba
Exemplar rule: B35678/S5678
These rules’ soups tend to clump up in large blobs that slowly decrease in size. The most common density is 100% filled, but some rules have a lower-density aperiodic medium.
RRO
Exemplar rule: B2k3acijr4ijqy6i7c/S2aek3ijnqr4it5n
There is a super slow spaceship or a RRO that is usually some methuselah in Life, and they can sometimes combine to form SMOS, SMOO, OMOS, or other variants thereof. There are not too many small low-period objects either, and if they exist they are usually the blinker, ship, or the B3/S23-a6c bullet heptomino ship. Blocks don't exist here.
Whitespacia
Exemplar rule: B34e5-ajny678/S2-ai34cet678
Agar fillers dominate this rulespace, with soups long-living primarily because of these.
Other remarks
A frequent traveller around these lands is called Block, mainly because of its rather-unintrusive nature. It's forbidden in the land of RRO, however.
Wojtowiczia
This land was supposed to be called Evansia, but since MCell got there first, it was named accordingly. This encomapsses most (if not all) quadratically-growing neighborhoods, and has to potential to cover almost every range.
Main Sequence
Sotonia
Exemplar rule: R5,C2,S8,B9,NM
This is what Evans calls "exactly theta", and this part of the rulespace contains loads of ships, and the occasional bug maker. Be careful, though, as these rules are extremely fragile!
The Kaleidome
Exemplar rule: R2,C2,S4,B4,NM
The Kaleidoscope of Life lives here, though it is debatable whether they actually live in Boscovia. It is a mix of "exactly theta" and bug-like behaviour.
Boscovia
Exemplar rule: R5,C2,S33-57,B34-45,NM
Most rules with bugs live here, and a huge variety of them have been discovered. Some of them know exactly where to go, like the p166 Bosco, namesake of the city, as well as the Soldier Bug.
Semi-Boscovia
Exemplar rule: R45,C0,M1,S2885-4923,B2500-4973
This is the equivalent of Tritoquatronum, with the large oscillators being a main feature. Spaceships that are very rare, if they exist. Some of the slowest known spaceships live here, including a spaceship that is so slow it is slower than the c/5648 gem and continental drift.
Peripherals
Space Colony
Exemplar rules:
- R2,C2,M1,S10-19,B4-4,NM (Pigs)
- R3,C0,M1,S14-26,B8-9,NM (SpaceColony)
Named after Yoel's rule, this is characterized by the existence of small antural spaceships as well as stable structures with a stable 'core' which oscillate at extremely high periods. If they don't oscillate they decay into nothing after an extremely long time, or emit spaceships over the course of its life.
Factorioland
One of the more far-off lands to be discovered, a band of explorers called Harfordson Parker-Cole and Haycat Durnak ventured there and visited it long enough to make a complete map of it. The map is very sparse and the country is infinite in width.
The neighbourhood is a giant windmill, a cross, which can be any number of units in length.
The Infinite Highway
As the range of the neighbourhood increases, more rules are discovered. However, these rules have a strong reputation of having an unusually high score in games requiring small objects, as the permutability of the cells in one 'arm' of the Cross neighbourhood allow for many objects with a specific number of cells to be constructed.
There are only two known nonexplosive rulespaces with small common spaceships, and both are in the extremely fertile land of Range 3. In addition, another land has been mentioned because of its historical significance.
Range 3
Factorio
Exemplar rule: R3,C2,S2,B3,N+
This is the first city to be discovered in this space. It has a striking variety of tiny 4-cell objects and then some. So far, one of its rules, the OG Factorio, has won challenges by the discoverer of this land, Harfordson Parker-Cole, as well as some B. Engine.
Factorio II
Exemplar rule: R3,C2,S3,B3,N+
This is the second city to be discovered. It has some 4-cell objects, but there are far more 5-cell objects (including a relative of the Factorialship), as well as some Margolus oscillators.
Rowett's Rockets
High-density coups form into thin 'rockets' which are caused by whatever bounding box expanding condition the rule has, and these dissipate into nothing, or at most, a trail of small oscillators.