P56 phi sparker

For the other p56 phi sparker with poor clearance, see Period-56 pi-heptomino hasslers.

p56 phi sparker
x = 41, y = 32, rule = B3/S23 16b3o$16b3o6b2o$2o13bo3bo4bobo$bo10bo3b2o2bo3b2o$bobo7bob2obo3b2o6b2o$ 2b2o6b2o3bob2obo7bobo$6b2o3bo2b2o3bo10bo$5bobo4bo3bo13b2o$5b2o6b3o$13b 3o10bo3b2o5b2o$24b3o3b2o5b2o$23bo$23b2o5bo7bo$29bobo5bobo$28b2ob2o3b2o b2o$16bo12bo2bo3bo2bo$14b2ob2o11bo7bo$15bo2bo11b3o3b3o$16b2o4$30b2o5b 2o$30b2o5b2o3$20b3o$20b3o$21bo$21bo$20b3o$20b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 14 ZOOM 8 LOOP 56 THUMBSIZE 2 ]]
View static image
Pattern type	Oscillator
Number of cells	97
Bounding box	42 × 36
Period	56 (mod: 56)
Heat	75.3
Volatility	0.94 | 0.36
Kinetic symmetry	n
Discovered by	Period1GliderGun cvojan
Year of discovery	2024
Rules Outer-totalistic rules B3/S23 – B38/S23 # of rules 21 = 2 Isotropic rules B3/S23 – B34e8/S234c6i7e
Glider synthesis Fewest gliders 42† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p56rphisparker.cells RLE p56rphisparker.rle
Identifiers apgcode xp56_033y133y3o88gzokk41014kkoy311144z0poy1opxo8a6zy42egoy3gogw759qcx6530o8gzy9653x12457ya32

p56 phi sparker is a period-56 phi sparker oscillator found by Period1GliderGun on March 9, 2024 based on a partial by cvojan on October 1, 2022. It is an R-pentomino hassler. The p14 sparkers used to support it are 34P14 shuttle and 42P14.

It is the second p56 phi sparker to be found, but the first (shown on the period-56 pi-heptomino hasslers page) has much lower clearance than this one.

The phi spark has been used to complete two of David Raucci's partials and create a Snark64-based p56 gun as well as a blinker factory.

On March 10, 2024, Chris857 found a 47-glider synthesis for the p56 phi sparker. On March 11, KtT reduced the cost to 44 gliders. On March 13, Daniel Vargas reduced the cost to 42 gliders.

Gallery

x = 158, y = 88, rule = B3/S23 35bo82bo$34b3o80b3o$33b2ob2o5b2o64b2o5b2ob2o$18b2o11bobo3bo4bobo64bobo 4bo3bobo11b2o$19bo9b2o3b2o3bo2b2o66b2o2bo3b2o3b2o9bo$19bobo6bo4b2o5bo 5b2o58b2o5bo5b2o4bo6bobo$20b2o5bo5b2o4bo6bobo56bobo6bo4b2o5bo5b2o$24b 2o2bo3b2o3b2o9bo56bo9b2o3b2o3bo2b2o$23bobo4bo3bobo11b2o54b2o11bobo3bo 4bobo$23b2o5b2ob2o84b2ob2o5b2o$31b3o10bo3b2o5b2o40b2o5b2o3bo10b3o$32bo 9b3o2bo2bo3bo2bo38bo2bo3bo2bo2b3o9bo$41bo5bo9bo38bo9bo5bo$41b2o7bo3bo 44bo3bo7b2o$46bo3bo3bo3bo36bo3bo3bo3bo$34bo10bo5bobo5bo34bo5bobo5bo10b o$32b2ob2o13b2ob2o44b2ob2o13b2ob2o$36bo9bo3bo3bo3bo36bo3bo3bo3bo9bo$ 32bo3bo10bo2bo3bo2bo38bo2bo3bo2bo10bo3bo$33b3o12b2o5b2o40b2o5b2o12b3o 2$7b2o3b2o$8bo3bo$2b2o4bobobo35b2o5b2o40b2o5b2o$3bo2b2obobob2o33b2o5b 2o40b2o5b2o$3bobobobobo3bo$2obob2ob2obo2bobo22bo74bo$o2bobo3bobo4bo22b o74bo$2bo4bo5b2obobo101bo7bo$b2obob4obobobobobo101b2o3b3o$2bo8bobo3bo 2bo98b2o4bo$2bob7o2b2o2b2ob3o98bo3b2o$3bo3bo2bobo3bobo4bo15bo74bo15b2o $4bo4bo2b5obob3o16bo74bo15bo$3b2o5b2o3bob2obo107bobo$12b2o2bo20b3o75b 4o9b2o$12bo3bo19bo3bo73b2o2bo$10bobo3bo2bo15bobo75b2o2bo$10b2o4bo2bo5b o9bo3b2o73bo2bo2b3o$19b2o4b2o9bo8b2o63b2o3b2o$19b2o3bo2bo8bo7bobo62bob o13b2o$18b3o5bo10bo5b3o63bo14bo2bo$17bobo7bo8bo2bo3b2o63b2o15b2o$17b2o 8bo9b2o4b2o$23b2o3bo9bo5bo2bo4b2o$26bobo15bo2bo3bobo71b2o15b2o$23bo3bo 19bo3bo72bo2bo14bo$24b3o20bo2b2o73b2o13bobo$43bob2obo3b2o5b2o74b2o3b2o $24bo16b3obob5o2bo4bo69b3o2bo2bo$24bo15bo4bobo3bobo2bo3bo73bo2b2o$41b 3ob2o2b2o2b7obo71bo2b2o$43bo2bo3bobo8bo60b2o9b4o$44bobobobobob4obob2o 58bobo$45bobob2o5bo4bo59bo15bo$24bo22bo4bobo3bobo2bo56b2o15bo$24bo22bo bo2bob2ob2obob2o61b2o3bo$48bo3bobobobobo65bo4b2o$7b2o5b2o33b2obobob2o 2bo62b3o3b2o$7b2o5b2o35bobobo4b2o61bo7bo$51bo3bo81bo$50b2o3b2o80bo2$7b 2o5b2o12b3o115b2o5b2o$6bo2bo3bo2bo10bo3bo114b2o5b2o$5bo3bo3bo3bo9bo$9b 2ob2o13b2ob2o$4bo5bobo5bo10bo$5bo3bo3bo3bo113b3o12b2o5b2o$9bo3bo7b2o 107bo3bo10bo2bo3bo2bo$6bo9bo5bo111bo9bo3bo3bo3bo$6bo2bo3bo2bo2b3o9bo 98b2ob2o13b2ob2o$7b2o5b2o3bo10b3o99bo10bo5bobo5bo$29b2ob2o5b2o103bo3bo 3bo3bo$14b2o11bobo3bo4bobo98b2o7bo3bo$15bo9b2o3b2o3bo2b2o99bo5bo9bo$ 15bobo6bo4b2o5bo5b2o86bo9b3o2bo2bo3bo2bo$16b2o5bo5b2o4bo6bobo84b3o10bo 3b2o5b2o$20b2o2bo3b2o3b2o9bo76b2o5b2ob2o$19bobo4bo3bobo11b2o75bobo4bo 3bobo11b2o$19b2o5b2ob2o91b2o2bo3b2o3b2o9bo$27b3o88b2o5bo5b2o4bo6bobo$ 28bo88bobo6bo4b2o5bo5b2o$117bo9b2o3b2o3bo2b2o$116b2o11bobo3bo4bobo$ 131b2ob2o5b2o$132b3o$133bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 14 WIDTH 700 HEIGHT 500 ZOOM 4 ]]

The oscillators that were completed with the discovery of the p56 phi sparker (click above to open LifeViewer)

x = 41, y = 43, rule = B3/S23 16b3o$16b3o6b2o$2o13bo3bo4bobo$bo10bo3b2o2bo3b2o$bobo7bob2obo3b2o6b2o$ 2b2o6b2o3bob2obo7bobo$6b2o3bo2b2o3bo10bo$5bobo4bo3bo13b2o$5b2o6b3o$13b 3o10bo3b2o5b2o$24b3o3b2o5b2o$23bo$23b2o5bo7bo$29bobo5bobo$28b2ob2o3b2o b2o$16bo12bo2bo3bo2bo$14b2ob2o11bo7bo$15bo2bo11b3o3b3o$16b2o4$9b2o19b 2o5b2o$9bobo18b2o5b2o$11bo$11b2o$13bo$11b3o$10bo$10b2o15b3o$21bo5b3obo $20bobo5bobobo$20bobo6bo2bo$9b2o10bo8b2o$9b2o15b2o$26bobo$28bo$7b2o19b 2o$7bo2bob2o$9b2obobo$10bo2b2o$8bobo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 14 WIDTH 500 HEIGHT 500 ZOOM 10 ]]

The Snark64-based gun (click above to open LifeViewer)

x = 40, y = 41, rule = B3/S23 16b3o$15bo$14b2o3bo$12b3obo8b2o$2o9b2obobobo4bo2bo$bo8bobo2bo9bo$bobo 8b2o5bo5bo2b2o$2b2o2bo5bo5b2o8bobo$6bo9bo2bobo8bo$5bo2bo4bobobob2o9b2o $5b2o8bob3o$12bo3b2o8bo3b2o5b2o$16bo7b3o3b2o5b2o$13b3o7bo$23b2o$19bo$ 18bo2bo11bobo$18bo2bo$19b4o7b3o3b3o$29bo9bo$19b6o4b3o5b3o$19bo3bo6bo7b o$19bo$20bobo$19bo2bo7b2o5b2o$20b2o8b2o5b2o$21b2o$20b3o$19b2ob2o$19b2o b2o$19b2ob2o$21bo$18bo$17bobo$17bo2bo$18b2o8b2o$28bo$29b3o$31bo$18b2o $18b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 14 WIDTH 500 HEIGHT 500 ZOOM 10 ]]

Blinker factory based on this oscillator. (click above to open LifeViewer)

External links

• P56 phi sparker at Adam P. Goucher's Catagolue