p58 pi-heptomino hassler

For other p58 pi-heptomino hasslers, see Pi-heptomino hasslers#p58.

p58 pi-heptomino hassler
x = 23, y = 30, rule = B3/S23 7bo$5b3o$4bo$4b2o6b2o$12bo$10bobo8b2o$10b2o9b2o3$2b2o$bobo$bo$bobo$2b 2o3$19b2o$19bobo$21bo$19bobo$19b2o3$2o9b2o$2o8bobo$10bo$9b2o6b2o$18bo$ 15b3o$15bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 10 ZOOM 10 HEIGHT 400 ]]
View static image
Pattern type	Oscillator
Number of cells	54
Bounding box	37 × 30
Period	58 (mod: 58)
Heat	47.4
Volatility	0.94 | 0.94
Kinetic symmetry	.e
Discovered by	Luke Kiernan
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3/S23 – B34e8/S234c6e8
Glider synthesis Fewest gliders 16† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p58piheptominohassler.cells RLE p58piheptominohassler.rle
Identifiers apgcode xp58_y166y5si1iszym31e8zx32acyc6a8oz2egozy579g97y5cc

p58 pi-heptomino hassler is a period-58 oscillator discovered by Luke Kiernan on June 26, 2022 using a symmetric CatForce search. It is currently the smallest known oscillator of this period, tied with 54P58 (Catagolue: here). It also is one of few cavity sparkers.

dani discovered that two of these oscillators could be combined to create a gliderless lightweight spaceship gun. An LWSS-to-G converter has just enough recovery time to turn the LWSS into a glider, resulting in the smallest known period-58 glider gun, as shown below. This is a rare instance of a known xWSS gun having a smaller bounding box than the glider gun of the same period, though not the only such example. A direct glider gun construction has yet to be found.

x = 60, y = 42, rule = B3/S23 15bo28bo$15b3o24b3o$18bo22bo$9b2o6b2o22b2o6b2o$10bo38bo$2o8bobo34bobo 8b2o$2o9b2o34b2o9b2o2$29bobo11b3o$14b3o15bo$14b3o15bo9bo4bo$13bo3bo11b o2bo7b2o5bo$12bo3b3o11b3o7b2o6bo$12bobobobo23b2ob2obo$10bo4bo32b2o$7bo 4bo34b2o$4bobobobo37bob2ob2o$4b3o3bo37bo6b2o$5bo3bo39bo5b2o$6b3o40bo4b o$6b3o$51b3o2$10b2o9b2o14b2o9b2o$10bobo8b2o14b2o8bobo$12bo34bo$4b2o6b 2o7b4o21b2o6b2o$4bo16bo3bo29bo$5b3o16b2o26b3o$7bo29b3o12bo$36b3o$27b3o $26bo3bo$26bo3bo$24b2o4bo5b3o$23bo4bo8b3o$23bo3bobo$23bo4bo$20b2o2b2o 3bo3b2o$19bobo4bo2bo3bobo$19bo6bo8bo$18b2o7b3o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 HEIGHT 440 ]]

Period-58 glider gun, using an LWSS as an intermediate step (click above to open LifeViewer) RLE: here Plaintext: here

This oscillator's 16-glider synthesis is extremely trivial: components (two blocks, four eaters, two pi-heptominoes) can be constructed using their two-glider recipes without any conflicts.

External links

• p58 pi-heptomino hassler at Adam P. Goucher's Catagolue