Kok's galaxy

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Kok's galaxy
2bo2bobob$2obob3ob$bo6bo$2o5bob2$bo5b2o$o6bob$b3obob2o$bobo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 4 THUMBSIZE 3 ZOOM 27 HEIGHT 470 ]]
Pattern type Oscillator
Number of cells 28
Bounding box 13 × 13
Period 8
Mod 8
Heat 39
Volatility 1.00
Strict volatility 1.00
Discovered by Jan Kok
Year of discovery 1971

Kok's galaxy is a volatility-1 period-8 oscillator found by Jan Kok in 1971.[1][2]

Kok's galaxy serves as the logo of Golly.

Uses in catalysis

Kok's galaxy is one of the strongest p8 sparkers of its size, and is notable for allowing a reaction found by Dave Buckingham and simplified by Bill Gosper that converts a pi heptomino to a heavyweight spaceship when paired with a boat:

x = 54, y = 49, rule = B3/S23 6b3o$7bob3o$6b2o2bo2bo$6b5o3bo$7bo4b3o30b3o$12bo29b3obo$7bo32bo2bo2b2o $6bobo30bo3b5o$7bo31b3o4bo$13b2o26bo$13b2o31bo$45bobo$b2o43bo$b2o36b2o $39b2o2$51b2o$8b3o40b2o$7bo3bo$6bo5bo$6bo5bo$6bo5bo30b3o$7bo3bo30bo3bo $8b3o30bo5bo$41bo5bo$2b2o7b2o28bo5bo$3bo7bo30bo3bo$3o9b3o28b3o$o13bo9b o$22bobo16b2o7b2o$23b2o17bo7bo$39b3o9b3o$29bo9bo13bo$29bobo$29b2o4$18b 2o$15bo$14bobo2b2o$12bobob3o2bo$12bo2b6o$15b2ob2o6b2o$14b6o2bo2bobo$ 13bo2b3obobo3bo$14b2o2bobo$19bo$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 WIDTH 740 HEIGHT 620 ZOOM 10 GPS 15 THEME Book STARTFROM 67 ]]
A p48 HWSS gun using Kok's galaxy and two period-48 glider guns
(click above to open LifeViewer)
RLE: here Plaintext: here

The period-856 glider gun uses four, which serve as sparkers and also delete gliders.

Glider synthesis

In September 2003 Jason Summers found a 12-glider synthesis of this oscillator.[3] An 11-glider synthesis was found by chris_c in May 2016.[4] On December 23, 2022, Chris857 found a 10-glider synthesis for the oscillator based on an occurrence in a symmetric soup.[5] Several previously known 11-glider recipes work via perturbing a constellation of two beehives using eight gliders.[6] On December 11, 2023, Carson Cheng found two 8-glider syntheses for Kok's galaxy.[7][8]

x = 48, y = 31, rule = B3/S23 10bobo$11b2o$11bo3$obo$b2o$bo4$25bo13b2ob6o$23b2o14b2ob6o$5bo18b2o13b 2o$5b2o32b2o5b2o$4bobo13bobo16b2o5b2o$20b2o17b2o5b2o$b2o18bo24b2o$2b2o 35b6ob2o$bo37b6ob2o4$25bo$24b2o$24bobo3$15bo$14b2o$14bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 80 PAUSE 3 LOOP 81 ]]
8G synthesis[7][8]
(click above to open LifeViewer)
x = 193, y = 169, rule = B3/S23 190bo$190bobo$190b2o23$28bo$26bobo$27b2o11$155bo$154bo$154b3o8$91bo$ 92bo$90b3o21$99bo$98bo$98b3o7$132b6ob2o$132b6ob2o$139b2o$132b2o5b2o$ 132b2o5b2o$132b2o5b2o$132b2o$132b2ob6o$132b2ob6o7$92b3o$94bo$93bo21$ 100b3o$100bo$101bo8$36b3o$38bo$37bo11$164b2o$164bobo$164bo23$b2o$obo$ 2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 THEME Book ZOOM 6 AUTOSTART GPS 12 T 0 PAUSE 1 T 80 PAUSE 3 T 212 PAUSE 1 T 304 PAUSE 1 T 336 PAUSE 2 LOOP 337 ]]
10G synthesis[5]
(click above to open LifeViewer)
x = 79, y = 55, rule = B3/S23 60bo$59bo$59b3o$22bo$23b2o$22b2o6$6bo$4bobo$5b2o$43bo$2bo40bobo$obo40b 2o$b2o23bobo$27b2o$27bo4$70b6ob2o$70b6ob2o$77b2o$70b2o5b2o$70b2o5b2o$ 70b2o5b2o$70b2o$70b2ob6o$22b3o45b2ob6o$24bo$23bo4$66b2o$66bobo$66bo2$ 62b2o$62bobo$62bo6$45b2o$44b2o$46bo$7b3o$9bo$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 THEME Book ZOOM 8 AUTOSTART GPS 12 T 0 PAUSE 1 T 24 PAUSE 3 T 64 PAUSE 1 T 120 PAUSE 2 LOOP 121 ]]
11G synthesis[4]
(click above to open LifeViewer)
x = 53, y = 37, rule = B3/S23 26bo$26bobo$7bobo16b2o$8b2o$8bo$26bobo$26b2o$27bo6bo$bo3bo26b2o$2bo3b 2o25b2o$3o2b2o4$44b6ob2o$44b6ob2o$51b2o$44b2o5b2o$44b2o5b2o$44b2o5b2o$ 44b2o$44b2ob6o$44b2ob6o4$30b2o2b3o$2b2o25b2o3bo$3b2o26bo3bo$2bo6bo$9b 2o$8bobo$28bo$27b2o$9b2o16bobo$8bobo$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 24 PAUSE 3 T 64 PAUSE 2 LOOP 65 ]]
12G synthesis[9]
(click above to open LifeViewer)


Occurrence

See also: List of common oscillators

Kok's galaxy is still yet to occur naturally, but Catagolue has a dedicated badge which will be given out to anyone who discovers one. In odd-width 90° rotationally symmetric soups (C4_1), about 1 in 100000 soups will form a Kok's galaxy in the centre, and in 180° ones (C2_1), about 1 in 230 million soups.

See also

Generation 2 of Kok's galaxy serves as the logo of Golly

References

  1. Robert Wainwright (September 1971). Lifeline, vol 3, page 4.
  2. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. Jason Summers' jslife pattern collection.
  4. 4.0 4.1 chris_c (May 31, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. 5.0 5.1 Chris857 (December 23, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. Dave Greene (February 2, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. 7.0 7.1 Carson Cheng (December 11, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  8. 8.0 8.1 shinjuku (#5724508693) (December 10, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  9. jslife-20121230/synthesis/make-osc-p008+.lif

External links