Pure glider generator

A pure glider generator (or simply glider generator) is a pattern that evolves into one or more gliders and nothing else. They are part of the cosmological classification of Life patterns. There was interest in this scheme early on, and within it on pure glider generators in particular (they were reported on quite frequently in the early issues of Lifeline, for example), but nowadays they are no longer considered important.

Examples

<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 12, y = 9, rule = B3/S23 4b4o2$2b8o2$12o2$2b8o2$4b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 GPS 5 PAUSE 4 LOOP 60 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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The 4-8-12 diamond (click above to open LifeViewer)
RLE: here Plaintext: here
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 4, y = 7, rule = B3/S23 2bo$bobo$o2bo$b2o$o2bo$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 GPS 5 PAUSE 4 LOOP 60 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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The bi-loaf (click above to open LifeViewer)
RLE: here Plaintext: here
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 7, y = 7, rule = B3/S23 2bo$2o$2b2o$bo3bo$3b2o$5b2o$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 GPS 5 PAUSE 4 LOOP 60 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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The bi-clock (click above to open LifeViewer)
RLE: here Plaintext: here

The 4-8-12 diamond and the bi-loaf[note 1] are two pure glider generators found by the Honeywell group in 1971.[1] The former evolves into four gliders (one heading in each diagonal direction) in 15 generations, while the latter yields two after four ticks. Gliders from the bi-loaf run in opposite ways along the diagonal that is closest to the great axis of the pattern. E.g. when the great axis is NNE-SSW, the gliders' directions are northeast & southwest.

The bi-clock is a later example found by Dale Edwin Cole in the same year.[2] It consists of two clocks, and evolves into two gliders in two generations.

An undecomino that evolves into a single glider
RLE: here
Evolves into four gliders; one travelling in each direction
RLE: here
gollark: Sure!
gollark: If I didn't mess it up somewhere, ๐Ÿ™€(x) generates stupidly large numbers.
gollark: ๐Ÿ˜ฑ(x, 0, 0) = x!๐Ÿ˜ฑ(x, 0, b) = x! ^ ๐Ÿ˜ฑ(x!, 0, b - 1)๐Ÿ˜ฑ(x, a, b) = ๐Ÿ˜ฑ(x, a - 1, b)! ^ ๐Ÿ˜ฑ(x, a - 1, b)!๐Ÿ™€(x) = ๐Ÿ˜ฑ(x!, x!, x!)
gollark: ๐ŸŒตยฒ = big number
gollark: Good luck calculating ๐ŸŒต. It is a fairly large number.

See also

Notes

  1. The term "bi-loaf" is now a collective description of the still lifes consisting of two loaves, e.g. the half-bakery and the loaf back tie loaf.

References

  1. Robert Wainwright (March 1971). "Lifeline Volume 1".
  2. Robert Wainwright (June 1971). "Lifeline Volume 2".
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