Difference between revisions of "Oblique spaceship"
Apple Bottom (talk | contribs) (I kinda doubt whether this extra column is really necessary, but-- as long as it exists the figures should at least be right.) |
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! Movement | ! Movement | ||
! Maximum speed<br> (Life) | ! Maximum speed<br> (Life) | ||
! Example | ! Example | ||
|- | |- | ||
| (2''m'',''m'')/''n'' | | (2''m'',''m'')/''n'' | ||
| Line 31: | Line 16: | ||
| knightwise | | knightwise | ||
| (2,1)c/6 | | (2,1)c/6 | ||
| [[Sir Robin]]* | | [[Sir Robin]]* | ||
|- | |- | ||
| Line 38: | Line 22: | ||
| camelwise | | camelwise | ||
| (3,1)c/8 | | (3,1)c/8 | ||
| [[Camelship]] | |||
| [[ | |||
|- | |- | ||
| (4''m'',''m'')/''n'' | | (4''m'',''m'')/''n'' | ||
| Line 45: | Line 28: | ||
| giraffewise | | giraffewise | ||
| (4,1)c/10 | | (4,1)c/10 | ||
| ''none found'' | | ''none found'' | ||
|- | |- | ||
| Line 52: | Line 34: | ||
| ibiswise | | ibiswise | ||
| (5,1)c/12 | | (5,1)c/12 | ||
| [[Gemini]] | | [[Gemini]] | ||
|- | |- | ||
| Line 59: | Line 40: | ||
| flamingowise | | flamingowise | ||
| (6,1)c/14 | | (6,1)c/14 | ||
| ''none found'' | | ''none found'' | ||
|- | |- | ||
| Line 66: | Line 46: | ||
| zebrawise | | zebrawise | ||
| (3,2)c/10 | | (3,2)c/10 | ||
| ''none found'' | | ''none found'' | ||
|- | |- | ||
| Line 73: | Line 52: | ||
| antelopewise | | antelopewise | ||
| (4,3)c/14 | | (4,3)c/14 | ||
| ''none found'' | | ''none found'' | ||
|- | |- | ||
| Line 82: | Line 60: | ||
| | | | ||
| (23,5)c/56 | | (23,5)c/56 | ||
| [[waterbear]] | | [[waterbear]] | ||
|- | |- | ||
| Line 88: | Line 65: | ||
<nowiki>*</nowiki>''Spaceship is elementary'' | <nowiki>*</nowiki>''Spaceship is elementary'' | ||
A full list of spaceships in Life can be seen at [[List of spaceships]] | A full list of spaceships in Life can be seen at [[List of spaceships]]. Further spaceships in arbitrary isotropic non-totalistic rules are catalogued at [[LifeWiki:Smallest Spaceships Supporting Specific Speeds|the 5s project]]; these can be emulated to produce a spaceship with equivalent [[slope]] in Life using the [[0E0P metacell]], but no examples have been explicitly constructed yet. | ||
==History== | ==History== | ||
| Line 98: | Line 75: | ||
In March 2018, [[Adam P. Goucher]] and [[Tomas Rokicki]] discovered [[Sir Robin]], the first elementary oblique ship. It is the fastest knightship and lowest-period oblique ship possible, and also the smallest known oblique ship. | In March 2018, [[Adam P. Goucher]] and [[Tomas Rokicki]] discovered [[Sir Robin]], the first elementary oblique ship. It is the fastest knightship and lowest-period oblique ship possible, and also the smallest known oblique ship. | ||
In December 2018, [[Chris Cain]] completed a new diagonal loop design for a small-step oblique spaceship, a true [[camelship]] with a (3,1) step size in each cycle instead of the (3072,1024) step distance of the [[Gemini 3|adjusted Gemini]] spaceship. | |||
==Other rules== | ==Other rules== | ||
| Line 106: | Line 85: | ||
These natural spaceships and puffers are qualitatively different from any in Life, which are either large engineered constructions or, in the case of [[Sir Robin]], the result of extensive computer search. | These natural spaceships and puffers are qualitatively different from any in Life, which are either large engineered constructions or, in the case of [[Sir Robin]], the result of extensive computer search. | ||
== | ==See also== | ||
* [[Knightship]] | * [[Knightship]] | ||
* [[Types of spaceships]] | * [[Types of spaceships]] | ||
==External links== | |||
{{LinkLexicon|lex_o.htm#oblique|name=Oblique}} | |||
Revision as of 00:59, 6 January 2020
An oblique spaceship is a spaceship which moves neither orthogonally nor diagonally.
The simplest type is a knightship, so called because it moves parallel to a knight in chess. By analogy with the corresponding fairy chess pieces, the following other terms may be used to designate spaceships with different slopes:
| Type | Ship | Movement | Maximum speed (Life) |
Example |
|---|---|---|---|---|
| (2m,m)/n | knightship | knightwise | (2,1)c/6 | Sir Robin* |
| (3m,m)/n | camelship | camelwise | (3,1)c/8 | Camelship |
| (4m,m)/n | giraffeship | giraffewise | (4,1)c/10 | none found |
| (5m,m)/n | ibisship | ibiswise | (5,1)c/12 | Gemini |
| (6m,m)/n | flamingoship | flamingowise | (6,1)c/14 | none found |
| (3m,2m)/n | zebraship | zebrawise | (3,2)c/10 | none found |
| (4m,3m)/n | antelopeship | antelopewise | (4,3)c/14 | none found |
| ... | ||||
| (23m,5m)/n | (23,5)c/56 | waterbear | ||
*Spaceship is elementary
A full list of spaceships in Life can be seen at List of spaceships. Further spaceships in arbitrary isotropic non-totalistic rules are catalogued at the 5s project; these can be emulated to produce a spaceship with equivalent slope in Life using the 0E0P metacell, but no examples have been explicitly constructed yet.
History
The first oblique spaceship was Andrew Wade's ibisship Gemini, based on the Chapman-Greene universal constructor. Dave Greene proceeded to build variants, called Geminoids, travelling in a variety of directions.
In early 2014, a collaborative effort was launched to build a half-baked knightship, which translates itself by (6, 3) each period and is therefore a knightship. Chris Cain optimised the construction to yield a smaller and faster parallel HBK.
In December 2014, Brett Berger constructed the first fast oblique spaceship in Conway's Game of Life, the waterbear, moving at a velocity of (23,5)c/79. It has a bounding box very slightly smaller than the parallel HBK. With a period of 158, it is the lowest-period oblique spaceship other than Sir Robin.
In March 2018, Adam P. Goucher and Tomas Rokicki discovered Sir Robin, the first elementary oblique ship. It is the fastest knightship and lowest-period oblique ship possible, and also the smallest known oblique ship.
In December 2018, Chris Cain completed a new diagonal loop design for a small-step oblique spaceship, a true camelship with a (3,1) step size in each cycle instead of the (3072,1024) step distance of the adjusted Gemini spaceship.
Other rules
Many automata extremely similar to Life have oblique ships and related technology. For example, Pedestrian Life has a naturally-occuring family of (5,2)c/190 ships, as well as a natural (101,3)c/1884 puffer; tDryLife has a slope 3 ship puffer that can be stabilized into a spaceship.
These natural spaceships and puffers are qualitatively different from any in Life, which are either large engineered constructions or, in the case of Sir Robin, the result of extensive computer search.
See also
External links
- Oblique at the Life Lexicon