C/3 diagonal: Difference between revisions
More information. Maybe add information about reactions in Life which travel at this speed - e.g the burning of a crabstretcher's output used in the Speed Demonoid. |
Added example spaceships for Day & Night and 3-4 Life |
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'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light. | '''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light. | ||
In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]]. <ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]]. | In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]]. | ||
==Butterfly== | |||
{{EmbedViewer | |||
|rle = x = 5, y = 5, rule = B3678/S34678 | |||
b3o$3obo$3b2o$3b2o$3bo! | |||
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]] | |||
|caption = The butterfly | |||
|position = center | |||
|style = width:300px; | |||
}} | |||
The butterfly is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest. | |||
==3-4 Life== | |||
{{EmbedViewer | |||
|rle = x = 4, y = 4, rule = B34/S34 | |||
b3o$2b2o$o2bo$bo! | |||
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]] | |||
|caption = 3-4 Life c/3d spaceship | |||
|position = center | |||
|style = width:300px; | |||
}} | |||
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 rules between B34/S34 (aka 3-4 Life) and B3458/S034678. | |||
===Synthesis=== | |||
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship: | |||
{{EmbedViewer | |||
|rle = x = 80, y = 22, rule = B34/S34 | |||
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o | |||
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b | |||
o2bo$78bo4$52b4o$53b2o$53b2o! | |||
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]] | |||
|position = center | |||
|caption = A synthesis of the c/3 diagonal spaceship | |||
|style = width:300px; | |||
}} | |||
==References== | ==References== | ||
Revision as of 09:59, 4 July 2025
| c/3 diagonal | |
| Spaceship | No |
|---|---|
| Puffer | No |
| Rake | No |
| Wickstretcher | No |
| Gun | No |
c/3 diagonal is a diagonal speed that is equivalent to one third of the speed of light.
In Conway's Game of Life or any other rule without an B0, B1, B2, S4 or S5 transition, no spaceship can travel at this speed through a vacuum.[1] However, it is attainable in many other rules that do have an S4 or S5 transition, including Day & Night, 3-4 Life, Move, Star Trek, Geology, Dance and Castles.
Butterfly
| The butterfly (click above to open LifeViewer) |
The butterfly is a c/3 diagnoal spaceship that works in the 128 outer-totalistic rules between B367/S346 and B3678/S0134678, including Day & Night for which it's proven the smallest.
3-4 Life
| 3-4 Life c/3d spaceship (click above to open LifeViewer) |
The above spaceship, despite its size, is quite rare in 3-4 Life, only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
Synthesis
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common c/3 orthogonal spaceship:
| A synthesis of the c/3 diagonal spaceship (click above to open LifeViewer) |
References
- ↑ Nathaniel Johnston (October 30, 2009). "Spaceship Speed Limits in "B3" Life-Like Cellular Automata". Retrieved on December 12, 2016.