p68 century hassler

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
Strict volatility	0.88
Discovered by	Nico Brown
Year of discovery	2023
Rules Outer-totalistic rules B3/S23 – B38/S23 # of rules 21 = 2 Isotropic rules B3/S23 – B38/S237e
Glider synthesis Fewest gliders (canonical) 14 Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 14 Catagolue-generated RLE (cheapest variant) synthesis
Pattern files Plaintext p68centuryhassler.cells RLE p68centuryhassler.rle
Identifiers apgcode (canonical) xp68_y6o8brz0oggzx23y56c53zgs26zyf354c apgcode (cheapest variant) xp68_y6rb8oz0oggzx23y56c53zgs26zyf354c

A small period-68 century hassler was found by Nico Brown on April 21, 2023. 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. 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, followed quickly by a 14-glider synthesis for the original form.

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 = 24, rule = B3/S23 10b2o$10b2o2$10b4o$10bo2bo4$bo22b3o$b3o11bo$4bo8bo2b2o9b2ob2o$3b2o9b3o 9bobob2o$15bo9bo$25bo4bo$25bo4bo$25b2o2bo$2b2o21b2o$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 ]] 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

External links

• p68 century hassler at Adam P. Goucher's Catagolue
• p68 century hassler, block in other location at Adam P. Goucher's Catagolue