Statorless p6

Statorless p6
x = 21, y = 6, rule = B3/S23 9b3o$bo7bob3o2bobo$o4b5obo2bob4o$b4obo2bob5o4bo$2bobo2b3obo7bo$9b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 3 LOOP 6 THUMBSIZE 3 ZOOM 21 WIDTH 730 HEIGHT 600 ]]
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Pattern type	Oscillator
Number of cells	36
Bounding box	21 × 8
Period	6 (mod: 3)
Heat	36
Volatility	1.00 | 0.83
Kinetic symmetry	Unspecified
Discovered by	Dean Hickerson
Year of discovery	1989
Rules Outer-totalistic rules B3/S23 – B38/S23678 # of rules 24 = 16 Isotropic rules B3-ky/S2-n3-cy – B2n34cekqrtw5cjkn6cen7c8/S234cekwy5-r678
Glider synthesis Fewest gliders (cheapest variant) 28† Catagolue-generated RLE (cheapest variant) synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext statorlessp6.cells RLE statorlessp6.rle
Identifiers apgcode (canonical) xp6_4ao8o4ckkv1vaac8646k8zy5111 apgcode (cheapest variant) xp6_y4mmpzgwgggo81036w8o0ooz033032wco0g23111w1zy5jdd Pentadecathlon ID 36P6.6

The statorless p6 is a period-6 oscillator discovered by Dean Hickerson in August 1989. It is one of the few known period 6 oscillators without a stator, giving it a volatility of exactly 1. 14 of its 82 active cells oscillate with period period 3 instead of 6, so it has a strict volatility of 34/41≈0.83.

Variants

A variant of this oscillator (with the same 4*4 ends but a different central mechanism) has 102 active cells, with 4 oscillating with period 2 and 10 at period 3, for a strict volatility of 44/51≈0.86.

Additionally, a variant exists which is strictly volatile (ie. all cells oscillate with period 6). A 30-glider synthesis for said variant was found on October 4, 2019 based on a soup submitted to Catagolue, and was reduced to 28 gliders by an anonymous user on February 5, 2022.

x = 21, y = 8, rule = B3/S23 8bo4bo$7b2o3bo2bo$bo4b3obobo3bobo$o3bo2bo4bo4b3o$b3o4bo4bo2bo3bo$2bobo3bobob3o4bo$5bo2bo3b2o$7bo4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 GPS 3 LOOP 6 ZOOM 14 AUTOSTART ]] Statorless p6 variant (click above to open LifeViewer) Catagolue: here

x = 20, y = 20, rule = B3/S23 10bo$9bobo$8b2o$9bo$8b2o$11bo$8bobo$8bobo$bo3bo6b2obobo$o5b2o7b4o$b4o 7b2o5bo$2bobob2o6bo3bo$9bobo$9bobo$8bo$10b2o$10bo$10b2o$8bobo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 GPS 3 LOOP 6 ZOOM 14 AUTOSTART ]] Strictly volatile p6 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

Other statorless p6

Another occurred semi-naturally, in two soups submitted within an hour of each other by Charity Engine on 2022-03-04, comprised of an entirely different mechanism from the other, with volatility 11/13≈0.85.

x = 20, y = 20, rule = B3/S23 10bo$8b2o$8b2o$8b2o$9bo2$6bo2bo2bo$9b5o$b3o4bo3bo$b4ob2o4bo6bo$o6bo4b2ob4o$7b o3bo4b3o$6b5o$7bo2bo2bo2$10bo$10b2o$10b2o$10b2o$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 GPS 3 LOOP 6 ZOOM 14 AUTOSTART ]]

Other statorless p6 (click above to open LifeViewer) Catagolue: here

See also

• Statorless p3
• Strictly volatile p4
• Statorless p5

External links

• 36P6.6 at Heinrich Koenig's Game of Life Object Catalogs
• Statorless p6 at Adam P. Goucher's Catagolue