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the wiki for Conway's Game of Life.
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This week's featured article

Caterloopillar diagram small.png

Caterloopillar is the name given to a family of spaceships containing two major parts - the front and the back. In Caterloopillar each part has the properties of a universal constructor, and thus each part is constructing the building blocks of the other part, while also reading and moving a construction tape. As the name suggests, this creates somewhat paradoxical design, similar to the "strange loop" concept.

The basic Caterloopillar design can be trivially adapted to produce spaceships with an infinite number of different speeds -- in theory, any rational speed strictly less than c/4.

The Caterloopillar was voted the Pattern of the Year 2016 on ConwayLife.com.

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Pattern collection

The LifeWiki contains one of the most comprehensive catalogues of patterns available on the internet. Within it you will find:
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Did you know...

  • ...that in Life, no spaceship can exist with a speed of (m,n)c/x where (m+n)/x > 0.5?
  • ... that an N-bit strict still life – specifically, some length of long long (...) boat or barge – can be constructed for any odd integer N using no more than 39 gliders, and for any even integer N using no more than 38 gliders, using a temporary tubstretcher?
  • ... that an N-bit period-2 oscillator can be constructed for any odd integer N using no more than 45 gliders, and for any even integer N using no more than 46 gliders, using a temporary tubstretcher?
  • ...that it is currently an open question as to if there exists a periodic pattern whose only predecessors are its own evolutionary sequence?
  • ...that it can be proved reflectorless rotating oscillators exist in Life, although none have yet been found or constructed?
  • ...that there are currently known elementary spaceships with speeds c/7 and c/10 orthogonal, but none with c/8 or c/9?
  • ...that there are currently known elementary spaceships with speeds c/7 and c/12 diagonal, but none with c/8, c/9, c/10 or c/11?
  • ...that while the speed limit for orthogonal spaceships in rules using the Moore neighbourhood is c orthogonal, spaceships in Larger than Life rules are capable of breaking this barrier?
  • ...that without the use of adjustable glider loops, there are no known oscillators with periods 43, 49 or 53?
  • ...that without the use of Herschel loops or adjustable glider loops, there are no known oscillators with periods 57, 59 or 61?          
Showing 10 items out of 92 More did you know...