Tanner's p46

Tanner's p46
x = 13, y = 26, rule = B3/S23 2b2o9b$2bo10b$3bo9b$2b2o9b$13b$9b2o2b$9bo3b$10bo2b$9b2o2b$b2o10b$b2o6b 2o2b$o7bobo2b$b2o6bo3b$b2o7b3o$12bo$13b$13b$13b$13b$13b$13b$b2o10b$b2o 2b2o6b$5bobo5b$7bo5b$7b2o4b! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 640 WIDTH 600 THUMBSIZE 3 ZOOM 21 X -4 GPS 23 ]]
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Pattern type	Oscillator
Number of cells	41
Bounding box	23 × 26
Period	46 (mod: 46)
Heat	21.87
Volatility	0.87 | 0.87
Kinetic symmetry	n
Discovered by	Tanner Jacobi
Year of discovery	2017
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3/S23 – B34e8/S234c6i7c8
Glider synthesis Fewest gliders (canonical) 18† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 15 Catagolue-generated RLE (cheapest variant) synthesis Uploaded synthesis RLE tannersp46_synth.rle †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext tannersp46.cells RLE tannersp46.rle
Identifiers apgcode (canonical) xp46_wbdz0ggy2bdz2ddy125b8ozz066wc4ozy311 apgcode (cheapest variant) xp46_gy6178kc0c4oz1156yb11oge2zx33y333433

Tanner's p46 is a period-46 oscillator that was found by Tanner Jacobi on October 20, 2017 involving a pi-heptomino running a small conduit containing a PR8P and a PL38P.

Tanner's p46 ranked second place in the Pattern of the Year 2017 competition on the ConwayLife.com forums, behind the 2-engine Cordership.

In addition to this version, there is a p45 variant where the PT8P is replaced by a periodic reaction which takes 7 generations (originally gun-supported & later replaced by non-gun supports ).

Synthesis

Mark Niemiec posted a trivial 19-glider synthesis of Tanner's p46 two hours after its discovery. This can be reduced to 15 gliders to produce a stator variant that replaces the two snakes with eater 1s.

Uses

Tanner's p46 gives out phi sparks, making it useful for gun constructions. For example, David Bell used Tanner's p46 and a twin bees shuttle to build a period 46 edge shooter glider gun (shown below) on October 21, 2017.

x = 31, y = 44, rule = B3/S23 17boo5boo$17boo5boo11$17bo7bo$15boboo5boobo$15bo3booboo3bo$16bo3bobo3b o$17b3o3b3o10$14bo14bo$13b3o14bo$12bobobo11b3o$12bobobo$10boob3oboo$9b obooboboobo$3boo3boobo5boboo$3boo4boobo3boboobboboo$10b3o3b3o3boobo$$ bboo$3bo$3o$o13bo$13boboboboo$12bobooboobo$12bo$11boo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 23 AUTOSTART ]]

p46 glider gun using Tanner's p46 (click above to open LifeViewer) RLE: here Plaintext: here

The same day, Matthias Merzenich built a p46 gliderless MWSS gun using two copies of Tanner's p46 (shown below). In June 2018, Nathaniel Johnston built a p46 gliderless LWSS gun using three copies of the oscillator.

x = 40, y = 29, rule = B3/S23 6bo$6b3o$9bo$8b2o$2b2o$3bo$2bo$2b2o2$2b2o7bobo2bobo$2bobo6bo2bo3bo$3bo 5b2o3bobobo$3o7b3obo$o6b2o5b2o8b3o$7b2o4b2o8bo3bo$7b2o3bo9bo5bo$7b2obo bo8bo3bo3bo$7b2obobo8bo7bo5b2o$21bobo3bobo5b2o$17b2o3b2o3b2o$10b2o4bob o$6b2o2b2o4bo19b2o$5bobo7b2o19bo$5bo31b3o$4b2o19bo13bo$19b2obobobo$19b ob2ob2obo$27bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 HEIGHT 360 WIDTH 650 THUMBSIZE 2 ZOOM 10 GPS 23 AUTOSTART ]]

p46 gliderless MWSS gun using Tanner's p46 (click above to open LifeViewer) RLE: here Plaintext: here

Gallery

x = 10, y = 10, rule = B3/S23 5b2o$5bo$7bo$6b2o2$6b2o$3o2bobo$obo3bo$obo4b3o$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]] PT8P (click above to open LifeViewer) RLE: here Plaintext: here	+	x = 26, y = 8, rule = B3/S23 2o8b3o8b2o$o2bo6bobo8b2o$2b2o6bobo2$22b2o$22bo$23b3o$25bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]] PT38P (click above to open LifeViewer) RLE: here Plaintext: here
The components that form Tanner's p46

External links

• Tanner's p46 at the Life Lexicon
• Tanner's p46 at Adam P. Goucher's Catagolue