Gallus

Gallus
x = 39, y = 23, rule = B3/S23 12b2o4bo$12b2o3bobo12b2o$18bo5b2o5bob2o2b2o$24b2o5bobo3b2o$31bo$5b2o2b 2o18bo$5b2o2b2o5bo$14bobo12bo$15b2o14bo$24b2o5bobo3b2o$24b2o5bob2o2b2o $8b2o22b2o$2o5bob2o2b2o$2o5bobo3b2o$7bo$5bo$28b2o2b2o$5bo22b2o2b2o$7bo $2o5bobo3b2o$2o5bob2o2b2o5bo$8b2o9bobo3b2o$20bo4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 10 GPS 14 LOOP 98 ]]
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Pattern type	Oscillator
Oscillator type	Relay
Number of cells	105
Bounding box	39 × 25
Period	98 (mod: 49)
Heat	51.96
Volatility	0.94 | 0.37
Kinetic symmetry	n.c
Discovered by	Jeremy Tan
Year of discovery	2021
Rules Outer-totalistic rules B3/S23 – B37/S2378 # of rules 23 = 8 Isotropic rules B3-c/S23-ky – B34nt5e6ce7/S234cetz5ekn6-ck78
Glider synthesis Fewest gliders 42† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext gallus.cells RLE gallus.rle
Identifiers apgcode xp98_w33y133zgo6iqxqi6ogxjjz01qpy1pq1xgdpxccz0gye8k8z121y5ggy1ggz33xooy111y111zy1ccx8s3pdxdp3s8zy8dcy1cd

Gallus is a period-98 oscillator, being the smallest example of a relay construction using 34P14 shuttles allowing all oscillators of periods 98 + 56n to be constructed with 105 cells. It was found by Jeremy Tan on July 16, 2021, and synthesized with 50 gliders on September 5. On October 3, Matti Ward reduced the synthesis to 45 gliders. On October 30, 2024, KtT lowered the cost to 42 gliders.

It may also be stabilised with the 34P7 on either end, for a smaller bounding box but the same number of cells. This also allows it to be continued to n = −1, for a period-42 oscillator (Catagolue: here).

x = 35, y = 25, rule = B3/S23 29bo$10b2o4bo13bo2b2o$10b2o3bobo12b2ob2o$16bo12b2o$29bo$26b2o2b3o$3b2o2b2o18bobob2o$3b2o2b2o5bo13b2obobo$12bobo13b3o2b2o$13b2o16bo$30b2o$3bo22b2ob2o$4bo2b2o17b2o2bo$4b2ob2o22bo$3b2o$3bo$2o2b3o$bobob2o19b2o2b2o$2b2obobo18b2o2b2o$2b3o2b2o$5bo$4b2o12bo$2ob2o12bobo3b2o$2o2bo13bo4b2o$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 462 WIDTH 600 THUMBSIZE 2 ZOOM 12 Y 1 GPS 12 AUTOSTART ]]

The 34P7 variant, discovered by Entity Valkyrie (click above to open LifeViewer) Catagolue: here

The underlying reaction can be supported with many oscillators that emit a dot spark or a vertical domino spark, as shown below:

x = 246, y = 89, rule = B3/S23 10b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo$10b2o3bobo37b2o3bobo 37b2o3bobo37b2o3bobo37b2o3bobo37b2o3bobo$16bo44bo44bo44bo44bo44bo3$3b 2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o$3b2o2b2o39b2o2b2o 39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o4$3b2o179b4o$3bo2b5o41bobo124b2o7b o34b2obo5bob2o$4b2o5bo39bobobo40b5o40b2ob2o33b2o2b2o3bo33bo3b2o3b2o3bo $b3o15b2o28b3obob3o6b2o28b3obob3o6b2o28b3o3b3o6b2o27b2o2bo11b2o19b3obo 3bobo3bob3o5b2o$bo2bobo4b2o5b2o28bo3b3o3bo4b2o28bo4bo4bo4b2o28bo4bo4bo 4b2o43b2o19bo4bobobobobobo4bo3b2o$2b2o4bo4bo6bo26bob3o3b3obo5bo27bob2o 2bob2obo5bo28b4ob2ob2o6bo44bo19b5obobobobob5o6bo$13b2o31bo2bob2ob2obo 2bo33bo2b2o3bobo37bobobo2b2o74b2obobob2o$13b2o31b2o3b2ob2o3b2o34b2o2bo 2bob2o33b2obo2b4o2bo70b2o5bo5b2o$12b2o83bo4bobo2bo31b2ob2o2bobob2o70bo 13bo$9bo2bo2b2o80b4ob2o2b2o40bobo72bo11bo$7b3o4bo34bo2bobo2bo43bo46bo 2bo70b2o11b2o$6bo4b5obo32b2o3b2o42bobo43b2o2b3o$7b5o5bo81b2o44b4o$9bo 2b5o132bo$12bo128b2obobob2o$14bo126bob2ob2o$13b2o130bo3b3o$145bob2o2bo $146bobo29$10b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo38b2o4bo$10b2o3bobo 37b2o3bobo37b2o3bobo37b2o3bobo37b2o3bobo37b2o3bobo$16bo44bo44bo44bo44b o44bo3$3b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o$3b2o2b2o 39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o39b2o2b2o3$180b2o$6bo172bobo$4bo2b o36bo6bo45b3o24b2o52bo6b2o$4bo2bo35bo7b2o3b2o40bo26bo16bo35bo2bo2bo2bo b2o$4bo2bo11b2o22b2o5bobo3b2o6b2o32bo10b2o14bobo13b3o10b2o22bo6b2o2b2o 8b2o43b2o$b3obo3bo8b2o27bob3o11b2o32b3o8b2o16b2o3b2o7bob3o8b2o16b2o6bo bo16b2o34bo8b2o$4bob4o10bo26b3o15bo44bo19b4o6bo2b3o9bo14bobo7b2o18bo 32b3o9bo$o4bo4b2o85b3o29b3o2bo6b4o25bo61bobobo$b3obob2obo36b3o47b3o30b 3obo7b2o3b2o20b2o61bobobo$5bob2obob3o32bob3o79b3o13bobo80b2ob3ob2o$4b 2o4bo4bo27b2o5bobo3b2o39b3o32bo16bo79bob2obob2obo$6b4obo31bo7b2o3b2o 40bo50b2o72b2o3b2obo5bob2o$6bo3bob3o29bo6bo46bo124b2o4b2obo3bob3o$8bo 2bo85b3o130b3o3b3ob3o$8bo2bo229bobo$8bo2bo210b2o19bo$9bo213bo19b2o$ 220b3o16b2o$220bo13bo4bo$233bobobobo$232bob2ob2o$232bo$231b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1200 HEIGHT 480 ZOOM 4 Y -8 ]] #C [[ LABELALPHA 1 LABELSIZE 40 COLOR LABEL Blue ]] #C [[ LABEL 15 -10 6 "p4" ]] #C [[ LABEL 60 -10 6 "p5" ]] #C [[ LABEL 105 -10 6 "p6" ]] #C [[ LABEL 150 -10 6 "p7" ]] #C [[ LABEL 195 -10 6 "p8" ]] #C [[ LABEL 240 -10 6 "p10" ]] #C [[ LABEL 15 47 6 "p12" ]] #C [[ LABEL 60 47 6 "p14" ]] #C [[ LABEL 105 47 6 "p15" ]] #C [[ LABEL 150 47 6 "p22" ]] #C [[ LABEL 195 47 6 "p30" ]] #C [[ LABEL 240 47 6 "p46" ]]

Gallery of 3-block-1-tub periodic 180-degree reflectors. From top to bottom, left to right: p4, using a middleweight emulator variant for higher clearance to allow glider input. p5, using a p5 pipsquirter. A 37-cell p5 thumb can be used to reduce the population, as used in the smallest p250 oscillator. p6, using a p6 pipsquirter. P6 thumb can be used to reduce the population, and is used in Ocellus p7, using a thinner p7 pipsquirter variant, 34P7 can be used to reduce the population. The 34P7 variant is used in Gallus. p8, using a blocker. p10, using 55P10. p12, using Eye of Sauron. p14, using 34P14 shuttle. It can also be used in Gallus. p15, using a pentadecathlon. p22, using Jason's p22. p30, using buckaroo. p46, using Tanner's p46. (click above to open LifeViewer)

See also

• Ocellus

External links

• Gallus at Adam P. Goucher's Catagolue
• Gallus name origin