Elkies' p5

Elkies' p5
x = 9, y = 8, rule = B3/S23 bo$o2b3o$2bo$3bobo2bo$2b2ob4o$4bo$4bobo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 5 GPS 2 THUMBSIZE 2 ]]
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Pattern type	Oscillator
Number of cells	20
Bounding box	9×8
Frequency class	44.7
Period	5
Mod	5
Heat	6.8
Volatility	0.55
Strict volatility	0.55
Discovered by	Noam Elkies
Year of discovery	1997
Rules Outer-totalistic rules B3/S23 – B378/S23678 Important rules Conway Life # of rules 25 = 32 Isotropic rules B3-ce/S2-n3-cq – B2n34cekz5ci6cen78/S234-ijnrz5-jq678
Glider synthesis Fewest gliders 8 Catagolue-generated RLE elkiesp5_synth.rle Uploaded synthesis RLE elkiesp5_synth.rle
Pattern files Plaintext elkiesp5.cells RLE elkiesp5.rle
Identifiers apgcode xp5_2mq3sggozx346 Pentadecathlon ID 20P5.11

Elkies' p5 is a period-5 oscillator that was found by Noam Elkies on June 16, 1997.

Elkies' p5 first occurred naturally in a soup found by Dave Greene using Adam P. Goucher's apgsearch program in April 2015. Other efforts from apgsearch allowed a 15-glider synthesis of an 18-cell still life which can be converted to Elkies' p5. This 20-glider synthesis was completed by Brett Berger and Martin Grant. This was further improved to 8 gliders by Brett Berger and Martin Grant following a second natural occurrence in January 2016.

Commonness

On Catagolue, it is the third most common period 5 oscillator if stator variants are excluded, after octagon II and fumarole.

Use as a sparker

Elkies' p5 usually gets destroyed when trying to use it as a sparker, but it works in a few situations. One high-period example is this period-100 wing hassler. Note that two generations after being sparked, there is a two-cell leading edge in the sparker that matches the two cells in the active region.

x = 37, y = 33, rule = B3/S23 12b2o9b2o$12bo11bo$9b2obo11bob2o$9bo2b2obo5bob2o2bo$10b2o3bo5bo3b2o$ 12b2obo5bob2o$6bo5bobo7bobo5bo$5bobo8bo3bo8bobo$5bobo7bo5bo7bobo$ob2ob ob2o19b2obob2obo$2obobo3bo11b3o3bo3bobob2o$5b2ob3o10bo4b3ob2o$4bo2bob 2o8bo3bo2b2obo2bo$4b2o2b3o8b2o5b3o2b2o$9bo4b2o11bo$4b5o5b2o12b5o$3bo 29bo$4b5o12b2o5b5o$9bo11b2o4bo$4b2o2b3o5b2o8b3o2b2o$4bo2bob2o2bo3bo8b 2obo2bo$5b2ob3o4bo10b3ob2o$2obobo3bo3b3o11bo3bobob2o$ob2obob2o19b2obob 2obo$5bobo7bo5bo7bobo$5bobo8bo3bo8bobo$6bo5bobo7bobo5bo$12b2obo5bob2o$ 10b2o3bo5bo3b2o$9bo2b2obo5bob2o2bo$9b2obo11bob2o$12bo11bo$12b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 AUTOSTART ZOOM 8 ]]

p100 wing hassler described above (click above to open LifeViewer) RLE: here Plaintext: here

See also

• Smallest period 5 oscillators

External links

• Elkies' p5 at the Life Lexicon

• Elkies' p5 at Adam P. Goucher's Catagolue

• 20P5.11 at Heinrich Koenig's Game of Life Object Catalogs