Merzenich's p64

Merzenich's p64
5b2o$5b2o3$8b2o$9b2o8b2o$19b2o2$10bobo$9bo3bo$8bo3bo$7bo3bo$8bobo2$2o$ 2o8b2o$11b2o3$14b2o$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 64 GPS 8 THUMBSIZE 2 ZOOM 16 WIDTH 480 HEIGHT 480 ]]
View static image
Pattern type	Oscillator
Number of cells	34
Bounding box	21 × 21
Period	64 (mod: 32)
Heat	20.75
Volatility	0.97 | 0.97
Kinetic symmetry	.crc
Discovered by	Matthias Merzenich
Year of discovery	2010
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3-k/S23 – B36c8/S234c5cekr6ein7c8
Glider synthesis Fewest gliders 10 Catagolue-generated RLE synthesis
Pattern files Plaintext merzenichsp64.cells RLE merzenichsp64.rle
Identifiers apgcode xp64_y1j3zy031d8ey633zggy6s4c0gz11y8hj1zya11

Merzenich's p64 (or 4 blocks hassling 2 beehives and 2 R-pentominoes) is the smallest known period-64 oscillator, and was discovered by Matthias Merzenich on October 30, 2010.

Two copies of this oscillator are seen in the period-64 pre-pulsar shuttle, constructed by Merzenich with the help of praosylen on June 20, 2015.

A 14-glider synthesis of this oscillator was found by Ian07 on August 9, 2019, which was improved to 10 gliders by Goldtiger997 the next day.

The oscillator first appeared semi-naturally on February 12, 2022, in a soup by Charity Engine. About 1 in 6.6×10¹⁰ soups in the correct symmetry (C2_1) form a Merzenich's p64 in the centre.

The active region in Merzenich's p64 ranks 31st in the list of common evolutionary sequences, and the region is identified as belonging to Merzenich's p64 rather than having a distinct name.

Gallery

x = 31, y = 21, rule = B3/S23 5b2o$5b2o3$8b2o$9b2o8b2o$19b2o5b2ob2o$27bob2o$10bobo10b2o2bo$9bo3bo9b 3obo$8bo3bo9bo2b2o$7bo3bo10bo$8bobo11bo$21bo$2o23bo$2o8b2o9b2obo2bo$ 11b2o10bo3bo$27bo$24bo$14b2o9b2o$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]] Former SKOP 192: 31P3 on Merzenich's p64 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 21, y = 28, rule = B3/S23 5b2o4b2o$5bobo2bobo$7bo2bo$6bo4bo$6b2o2b2o$8b2o2$14b2o$14b2o4$2o$2o2$10b3o$3b 3o4b3o$5bo3bobo3bo$8b3o4b3o$8b3o2$19b2o$19b2o4$5b2o$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]] SKOP 320: fumarole on Merzenich's p64 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

See also

• 51P384

External links

• 1 period-64 oscillator at Mark D. Niemiec's Life Page
• Merzenich's p64 at Adam P. Goucher's Catagolue