p68 century hassler

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p68 century hassler
x = 23, y = 24, rule = B3/S23 12b2o$12b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o4$2b2o$ bobo$bo$2o$19b2o$19bo$20b3o$22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 18 GPS 20 LOOP 68 ]]
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Pattern type Oscillator
Number of cells 38
Bounding box 23 × 24
Period 68 (mod: 68)
Heat 21.4
Volatility 0.88 | 0.88
Kinetic symmetry Unspecified
Discovered by Nico Brown
Year of discovery 2023

A small period-68 century hassler was found by Nico Brown on April 21, 2023.[1] With only 38 cells, it is the smallest known period-68 oscillator by population; the former record was 71P68.

It emits V sparks and domino sparks. One example of its use as a V sparker, functionally a dot, is for a completion of this p68 B-heptomino hassler, where the partial was found by Noam Elkies in 1996 and appears in jslife. This oscillator was previously completed with a larger p68 long bun hassler as a sparker.

x = 64, y = 32, rule = B3/S23 22bo18bo$20b3o18b3o$19bo24bo$19b2o22b2o$2o42b2o16b2o$bo43b2o15bo$bobo 7bo32b2ob2o11bobo$2b2o5bob2o31b3obobo9b2o$9bobo31b2obo5bo$10bobo31bob 4o3bo$11b3o12b2o8b2o7b2obo4bo$26b2o8b2o12bo2bo$3b2o7b2o37b2o6b2o$4bo5b 3o30b2o2b2o10bo$b3o6bo5b2o18b2o5bo4bo11b3o$bo14b2o17bo2bo5bo17bo$35bo 2bo5bo2bo$34b2ob2o$35b2o$10bo2bo36bo2bo$10b4o36b4o2$12b2o36b2o$12b2o4b 2o8b2ob2ob2o2b4o2b2o4b2o$18bo10bob2obo2b6o2bo$19b10o6b10o$16b3o2b6o2b 6o10b3o$16bo2bo2b4o2bo6bo8bo2bo$17b2o10b6o10b2o2$31b2o$31b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 400 GPS 20 THEME Book AUTOSTART ]]
The B-heptomino hassler mentioned above
(click above to open LifeViewer)

A 16-glider synthesis of the p68 century hassler was found on April 27, 2023.[2] On July 2, 2023, a 15-glider synthesis was found along with a 14-glider synthesis for the "block in other location" form of the oscillator,[3][4][5][6] followed quickly by a 14-glider synthesis for the original form.[7][8]

LCM oscillators

The LCM oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.

x = 31, y = 24, rule = B3/S23 10b2o$10b2o2$10b4o$10bo2bo3$25b2o$bo23b2obo$b3o12bo12bo$4bo12bo8bo$3b 2o9bo2bo9bob2o$14b3o12b2o4$2b2o$bobo$bo$2o$19b2o$19bo$20b3o$22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
p136 with figure eight
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 32, y = 24, rule = B3/S23 10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo7b2o$14b3o10b o$24bo$24bo3bo$24bo3b4o$2b2o22bo$bobo$bo$2o$19b2o$19bo$20b3o$22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
p204 with caterer
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 32, y = 23, rule = B3/S23 12bo$12b3o7b2o$5b2o8bo6bo$2b2ob2o7b2o4bobo$bo18b2o$5b2o$6bo$2o3bo2bo$ 5o3bo$8bo$27b2o$28bo$28bob2o$27b2ob2o$19b2o$19bo$19bo2bo$20b2o2$10b2o$ 9bobo$9bo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
p272 with Rob's p16
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 31, y = 24, rule = B3/S23 10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o9b2o$ 25bo2bo$24bo4bo$23bo6bo$2b2o19bo6bo$bobo20bo4bo$bo23bo2bo$2o24b2o$19b 2o$19bo$20b3o$22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
p340 with octagon II
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 23, y = 36, rule = B3/S23 10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o4$2b2o$bobo$bo$2o$19b2o$19bo$13b2o5b3o$8b2o2bo9bo$8b2o2bo$12b2o$15bo$11bobobo$10b2o3bo$9bo3b2o$9bobobo$9bo$11b2o$12bo2b2o$12bo2b2o$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 500 ZOOM 14 GPS 24 ]]
p476 with 34P7
(click above to open LifeViewer)
Catagolue: here

References

  1. ↑ Nico Brown (April 21, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ shinjuku (#4192044973) (April 27, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  3. ↑ shinjuku (#4579584876) (July 2, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  4. ↑ shinjuku (#4579894798) (July 2, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. ↑ KtT (July 2, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ Chris857 (July 2, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. ↑ Carson Cheng (July 2, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  8. ↑ shinjuku (#4581064109) (July 3, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.

External links


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