ConwayLife.com

Saka wrote:Towers: Those huge vertical spaceships like caterpillar and centipede

There's this kind of spaceship where it synthesizes itself at the front and deletes itself at the back without really being a constructor-type thing like Gemini. They should have a name. The original Caterpillar does this, how it uses the blinker-stabilized πs to create more blinker tracks for more πs which create the weightship streams that create the first blinker tracks. πs then delete the blinker tracks. These "towers" are such ships, but the shield bug also does this, and yet isn't a huge vertical ship. (More like a huge horizontal ship!)

Some things:
A colliding rule is a new kind of class III rule where patterns last forever not because of explosions, but because of extremely common collisions (like B3-cky4e8/S23-c4cn) An odd bilateral explosive rule is stable with even or asymmetric patterns but odd bilateral symmetry patterns usually explode. They usually contain transitions like B4i and B2ik.
A linear explosive rule explodes in lines (most odd bilateral explosive rules and things like B2-ac3ikqy4cinwy5kn6cek7/S1e2ekn3-enr4ikqrz5cejq6ack) EDIT:
The taxicab speed of a (a,b)c/d ship is (a+b)/d (based on taxicab geometry)
The Euclidean speed of a (a,b)c/d spaceship is √(a^2+b^2)

Mr. Missed Her wrote:There's this kind of spaceship where it synthesizes itself at the front and deletes itself at the back without really being a constructor-type thing like Gemini. They should have a name.

Doesn't "engineered spaceship" fit the descrption for all of these?

(I'm well aware that i'm a few months late on this)

• Relativistic: any ship with speed (m,n)c/p where m>n, m<p, and 2m>p — i.e. a ship moving at between c/2 and c, including knightships (and B0 diagonal ships).
  • Fun fact: Relativistic ships are possible only in rules with B0 or B2c (the latter also requiring B2a or B1e3i, although none have been found for B1e2c3i thus far). Relativistic diagonal ships are possible only in B0 rules due to the explosiveness of B1c.
• Semi-relativistic: any ship with speed (m,n)c/p satisfying the criteria m>n, 2m+n>p, and 2m≤p — i.e. a ship moving faster than the normal B2ce3ai speed limit, but not exceeding c/2. Such a ship must necessarily be diagonal or a knightship.
  • Analogous fun fact: Semi-relativistic ships require B0, B2a or (B1e2c and likely either B2e or B3a, although I don't have proof of the "and"). [Note (2 and a half years later): if such a proof exists, it's exceedingly non-trivial due to the discovery (well after I originally wrote this post) of orthogonal ships faster than 2c/3 in B1e2c3i rules.]
• (
  • Overarching fun fact: It is likely that all 3-cell (semi-)relativistic ships without B0 must contain B2a and have a period of at least 5 (examples are known for this period). 3-cell c/2 and 2c/4 diagonal ships, as well as P4 knightships, are likely to be possible in B0 rules.
  )

Hope I got all of that right.

(EDIT 2 and a half years later: Changed B3a to B3i.)
(EDIT 3 years later: what are these bulleted parentheses please never do that again)

A for awesome wrote: Semi-relativistic: any ship with speed (m,n)c/p satisfying the criteria m>n, 2m+n>p, and 2m≤p — i.e. a ship moving faster than the normal B2ce3ai speed limit, but not exceeding c/2. Such a ship must necessarily be diagonal or a knightship.

Isn't the B2ce3ai speed limit c/2? I don't really get this

Saka wrote:

A for awesome wrote: Semi-relativistic: any ship with speed (m,n)c/p satisfying the criteria m>n, 2m+n>p, and 2m≤p — i.e. a ship moving faster than the normal B2ce3ai speed limit, but not exceeding c/2. Such a ship must necessarily be diagonal or a knightship.

Isn't the B2ce3ai speed limit c/2? I don't really get this

For orthogonal ships, yes. In order to extend this to diagonal and oblique ships, the larger component of the displacement vector must be constrained more tightly by the formula 2m+n≤p, where m is the larger component, n is the smaller component, and p is the period — e.g. to c/2 for orthogonals, to c/3 for diagonals, to 2c/5 for knightships, to 3c/7 and 3c/8 for ships with (3,1) and (3,2) slopes, respectively, etc..

Oscillaship: A ship with at least one state that is not too similar to the initial state.
Example

smooth and rough-
smooth: an object in a rule that has few or minimal states
rough- an object in a rule that has many or maximal states
this is a very smooth c/4: while this is a very rough one:

83bismuth38 wrote:smooth and rough-
smooth: an object in a rule that has few or minimal states
rough- an object in a rule that has many or maximal states

I'm not sure I understand. Would another way of saying it be that smooth objects use most of the transitions given in the rule, whereas rough ones don't?

Soldier: A common glider in derivatives of Just Friends, named after my rule Platoon:
Biome-y rule: A borderline class 3 rule that produces chaos with some "biomes" with varying dynamics.

Fast: A spaceship in an OCA that travels at a speed higher than c/2.

Crystal: An expanding rule that produces a stable "crystal".

Elementary still life: still life under 20 bits that doesn't contain a smaller still life.
Examples: Counterexamples:

Doesn't the ship contain the boat? (and each contain a tub)

Jackk wrote:Doesn't the ship contain the boat? (and each contain a tub)

You are totally right. Sorry!

Bubble: In an exploding chaotic rule, an area of the chaos that suddenly dies out and is quickly filled in. May contain (doomed) stable objects within.

Saka's Calcyterms:

• Calcyterm: A word that starts with "apg" or "calcy" that is used to describe things related to apgsearch or Catagolue or calcyman.
• Calcymistake: A glitch in Catagolue or apgsearch.
• Apgphase: The phase of an object with minimal apgcode that is shown on Catagolue.
• Apglitch: A glitch in apgsearch.
• Cataglitch: A glitch in Catagolue

I have a few more I just need to remember what they are...
*cough*calcyland*cough*

calcyman's ｐａｒｔｎｅｒ (as referenced in his garden post thingy) can be referred to as 'calcywoman'

danny wrote:calcyman's girlfriend (as referenced in his garden post thingy) can be referred to as 'calcywoman'

Girlfriend or wife?

(viewtopic.php?f=12&t=2586&start=100#p52912 btw)

When a rule has really huge bubbles, it becomes porous, and if the bubbles merge into one while retaining patches of chaos, the patches become known as anti-bubbles.

KittyTac wrote:When a rule has really huge bubbles, it becomes porous, and if the bubbles merge into one while retaining patches of chaos, the patches become known as anti-bubbles.

Can you show me examples of bubble-merging rules? I want to see if the dynamics are similar to flocculation or Oswald ripening. Bearing in mind some curvature-minimising trends (with influence on more than just a Moore neighbourhood distance!!!!!!!) have been observed, it would not be entirely unexpected.

Rhombic wrote:

KittyTac wrote:When a rule has really huge bubbles, it becomes porous, and if the bubbles merge into one while retaining patches of chaos, the patches become known as anti-bubbles.

Can you show me examples of bubble-merging rules? I want to see if the dynamics are similar to flocculation or Oswald ripening. Bearing in mind some curvature-minimising trends (with influence on more than just a Moore neighbourhood distance!!!!!!!) have been observed, it would not be entirely unexpected.

I have to play rule golf - randomly "drifting" a rule string until the desired rule is attained.

Found one:
Also, it contains an interesting front rake/puffer.

Semiphoton - A spaceship between c and c/2

danny wrote:Semiphoton - A spaceship between c and c/2

I'd go with relativistic, personally (because of the extra semi-relativistic definition).

If a given object only exists in one rule (or, in other words, if its partial rule contains only one rule), it is said to be endemic.
The tDryLife pond layer is endemic (it only exists in tDryLife).
The loafer is not endemic: its partial rule is pB3aceijnqry4-aijknrtwyz5-ijkqry6-eik78/S2aceikn3aceijknqry4-aiqrtz5-ijnq678 and contains a huge number of rules apart from CGoL.

Universal catalyst - a still life that can't be naturally destroyed, like the 28-cell example on the second page of snowflakes.

an example in B2ce3ai/S23 Hand typed since I'm on mobile, sorry.