p45 pi-heptomino hassler

For other p45 pi-heptomino hasslers, see Period-45 pi-heptomino hasslers.

p45 pi-heptomino hassler
x = 16, y = 17, rule = B3/S23 10b2o$10b2o4$10bo$9b3o$8b2ob2o2$bo$obo$2o3$8bo4bo$6b2ob4ob2o$8bo4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ZOOM 16 X 4 Y 2 GPS 9 LOOP 45 ]]
View static image
Pattern type	Oscillator
Number of cells	29
Bounding box	25 × 20
Period	45 (mod: 45)
Heat	41.6
Volatility	0.98 | 0.65
Kinetic symmetry	n
Discovered by	Luke Kiernan
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 – B3/S234c5e6e
Glider synthesis Fewest gliders (canonical) 10 Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 9 Catagolue-generated RLE (cheapest variant) synthesis
Pattern files Plaintext p45piheptominohassler3.cells RLE p45piheptominohassler3.rle
Identifiers apgcode (canonical) xp45_vtvy2c4oxooz757y2321zy1ok8 apgcode (cheapest variant) xp45_4ahhhhhha4zy94a6zx35c53zy166

p45 pi-heptomino hassler is a period-45 oscillator found by Luke Kiernan on August 9, 2022. Although other pi-heptomino hasslers with this period have been found previously, this one is by far the smallest, with only 29 cells in its minimum phase. It is also the smallest p45 oscillator overall, surpassing the 48-cell pentadecathlon on thumb 1.

Being a versatile sparker, the oscillator can be turned into a glider gun in several different ways. The smallest of these has a bounding box of 33 × 24, formerly making it the smallest known gun with an odd period. Using a queen bee shuttle as a filter, a p90 gun can also be created with a bounding box of only 33 × 32, the smallest known for this period. The p45 itself can filter a period-30 glider stream to p90, resulting in an alternative gun. The oscillator can also reflect gliders 180 degrees, and so two copies can be used to produce an oscillator with period 180 + 360n and a population of 63, as discovered by Jeremy Tan.

Carson Cheng found a 10-glider synthesis of this oscillator on the day of its discovery. He then found a 9-glider synthesis of a variant on September 3, 2023.

Gallery

x = 33, y = 21, rule = B3/S23 24bo$23bobo$22bo3bo$22bo3bo$8bo4bo8bo3bo$6b2ob4ob2o6bo3bo$8bo4bo8bo3bo $22bo3bo$23bobo$2o22bo$obo$bo28b2o$29bo2bo$8b2ob2o15bobobo$9b3o14b3o2b o$10bo$22bo5b2o$23b2o4bo$22b2o$9b2o$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 14 GPS 22.5 HEIGHT 500 THEME Book STARTFROM 45 ]]

p45 glider gun (click above to open LifeViewer) RLE: here Plaintext: here

x = 33, y = 29, rule = B3/S23 24bo$23bobo$22bo3bo$22bo3bo$8bo4bo8bo3bo$6b2ob4ob2o6bo3bo$8bo4bo8bo3bo $22bo3bo$23bobo$2o22bo$obo$bo28b2o$29bo2bo$8b2ob2o15bobobo$9b3o14b3o2b o$10bo$22bo5b2o$23b2o4bo$22b2o$9b2o$9b2o2$13bobo$11bo3bo$11bo$4b2o4bo 4bo8b2o$4b2o5bo12b2o$11bo3bo$13bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 14 Y -1 GPS 22.5 THEME Book STARTFROM 90 ]]

p90 glider gun (click above to open LifeViewer) RLE: here Plaintext: here

x = 36, y = 29, rule = B3/S23 24bo$22bobo$12b2o6b2o12b2o$11bo3bo4b2o12b2o$2o8bo5bo3b2o$2o8bo3bob2o4b obo$10bo5bo7bo$11bo3bo$12b2o4$14b2o$14b2o4$15bo$14b3o$13b2ob2o2$6bo$5b obo$5b2o3$13bo4bo$11b2ob4ob2o$13bo4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 12 GPS 22.5 HEIGHT 500 THEME Book STARTFROM 90 ]]

Alternate p90 glider gun (click above to open LifeViewer) RLE: here Plaintext: here

x = 71, y = 33, rule = B3/S23 60b2o$60b2o4$60bo$59b3o$58b2ob2o2$69bo$68bobo$69b2o3$57bo4bo$55b2ob4ob 2o$8bo4bo43bo4bo$6b2ob4ob2o$8bo4bo2$32bobo$2o30b2o$obo30bo$bo2$8b2ob2o $9b3o$10bo4$9b2o$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 22.5 HEIGHT 500 THEME Book STARTFROM 180 ]]

p180 + 360n glider shuttle (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 31, y = 23, rule = B3/S23 8bo4bo$6b2ob4ob2o$8bo4bo3$2o$obo$bo2$8b2ob2o$9b3o$10bo3$23bo2bo$9b2o 15bo$9b2o11bo4bo$22b2o2bobo$27bob2o3$27bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 GPS 22.5 HEIGHT 500 THEME Book STARTFROM 90 ]]

Unix on p45 pi-heptomino hassler, the smallest known p90 oscillator (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 25, y = 41, rule = B3/S23 18b2o$17bobo$18bo4$23bo$23bo$15bo6bobo$14b2o7bo$8b2o3b2o8bo$8b2o4b2o7b o$15bo7bo$22bobo$23bo$23bo6$o$3o$3bo$2bo$2bo2bo2$6b2o$7bo$5bobo$4b2o$ 14b2o$12bobo$12bo$12b2o2$14bo2bo$17bo$16bo$17b3o$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 225 THUMBSIZE 2 ZOOM 10 HEIGHT 450 THEME BOOK STARTFROM 225 ]]

30P25 on p45 pi-heptomino hassler, the smallest known p225 oscillator. (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

External links

• p45 pi-heptomino hassler at Adam P. Goucher's Catagolue