David Hilbert

David Hilbert
x = 33, y = 26, rule = B3/S23 7b2o15b2o$8bo15bo$6bo19bo$6b5o11b5o$10bo11bo$4b4o17b4o$4bo2bo17bo2bo$ 21bo$21bo$9bo4b2ob2o2bob2o$8b3o3b2obo6b2o$7bo2b2o6bo$7b3o12bo$22bobo$ 3b2o11b2o4bo2bo2b2o$3bo12b2o5b2o4bo$2obo12b2o11bob2o$ob2ob2o19b2ob2obo $5bo21bo$5bobo17bobo$6b2o17b2o$10bo11bo$6b5o11b5o$6bo19bo$8bo15bo$7b2o 15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 11.5 THUMBSIZE 2 ZOOM 10 ]]
View static image
Pattern type	Oscillator
Number of cells	122
Bounding box	33 × 26
Period	23 (mod: 23)
Heat	34.6
Volatility	0.71 | 0.71
Kinetic symmetry	n
Discovered by	Luka Okanishi praosylen
Year of discovery	2019
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3-k/S23-cy – B34e5c7c8/S234ety5ek6ei8
Glider synthesis Fewest gliders (cheapest variant) 91† Catagolue-generated RLE (cheapest variant) synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext davidhilbert.cells RLE davidhilbert.rle
Identifiers apgcode (canonical) xp23_y1ggy3o8bdzc82u074wo84s8x31560u28czx11y0hi21y411zy5ddx696zgg0s4y1owsi1isx4s0ggz10230f9y3ogjn45303201zyc65 apgcode (cheapest variant) xp23_y2c9b8ozy031130gy0ggy2o8b9czxggw65532w11ggy339e0o8goz62470s4gy433xahh3x23zy2d5k46y233w59ddiwgzy311y964k5d11zyk11

David Hilbert was the first period-23 oscillator to be discovered. It was found by Luka Okanishi on November 24, 2019 based on a partial result by praosylen. It consists of two copies of an engine, itself consisting of a B-heptomino being hassled by two unusual catalysts and a block, supported by a known period-agnostic beehive shuttle mechanism (seen in, for example, an extension of the carnival shuttle). There are several isomers known (including trans- versions and different phase offsets), with the one pictured having minimum population and bounding box. A 101-glider synthesis for one of these variants was posted by Goldtiger997 on December 29.

Other p23 oscillators can be constructed that combine and monomerise David Hilbert with the p23 honey farm hassler.

David Hilbert was voted Pattern of the Year for 2019 on the ConwayLife.com forums.

Gallery

x = 34, y = 26, rule = B3/S23 25b2o$25bo$27bo$23b5o$23bo$8b2o16b4o$2bob2obobo4bo11bo2bo$2b2obobo4b3o $6b2o3bo$11b2o5b2o4bo$2o16b2o3b3o$bo20b2o2bo$bobo20b3o$2b2o3bo2bo$9b2o 5b2o11b2o$16b2o12bo$8b2o6b2o12bob2o$2b2o4bo2bo15b2ob2obo$bobo24bo$bo24b obo$2o24b2o$6b2o15bo$7bo3b2o2b2o6b5o$4b3o4bobo2bo10bo$4bo4bobob2o10bo $9b2o14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL HEIGHT 500 WIDTH 600 GPS 23 ZOOM 16 THEME Book STARTFROM 23 ]]

Monomerised David Hilbert with p23 honey farm hassler. Many other phase shifts also work. (click above to open LifeViewer) Catagolue: here

x = 191, y = 75, rule = B3/S23 16b2o30b2o30b2o30b2o30b2o30b2o$16bo31bo31bo31bo31bo31bo$17bo31bo31bo 31bo31bo31bo$14b4o28b4o28b4o28b4o28b4o28b4o$5b2o7bo22b2o7bo22b2o7bo22b 2o7bo22b2o7bo22b2o7bo$5bo11b3o17bobo9b3o17bo11b3o17bo11b3o17bo11b3o17b o11b3o$2b2obo11bo2bob2o10b2obo11bo2bob2o10b2obob2o8bo2bob2o10b2obo11bo 2bob2o10b2obo11bo2bob2o10b2obo11bo2bob2o$o2bob2o7bo2bob2obo2bo6bo2bobo 4bo4b2o2b2obo2bo6bo2bob6o8b2obo2bo6bo2bob5o9b2obo2bo6bo2bob2o2bo9b2obo 2bo6bo2bob2o2b2o8b2obo2bo$2obo5bobo2bo2bo4bob2o6b2obobo5bo2b3o5bob2o6b 2obobo2b3o3b3o5bob2o6b2obo6b2o2b2o6bob2o6b2obo3b2obo3b2o6bob2o6b2obo4b o5b2o6bob2o$3bo6bo2bo3bo4bo12bo5b2o2bo3bo4bo12bo7bobo2bo5bo12bo2bo8b2o 5bo12bo3b2ob2o3bo6bo12bo4bo2bobobo6bo$3b2o9b3o4b2o12b2o9b3o4b2o12b2o9b 3o4b2o12b2o2bo4bob2o5b2o12b2o2bo2b2o3bo5b2o12b2o3b3ob3o6b2o$14b3o30bo 57b2o29bobobobo25b2o3b2o3$9b2o30b2o30b2o30b2o30b2o30b2o$9b2o4bo25b2o4b o25b2o4bo25b2o4bo25b2o4bo25b2o4bo$14bobo29bobo29bobo29bobo29bobo29bobo $9b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob 2o$9b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b 2ob2o4$3b2o6b2o3bobo2b2o12b2o6b2o3bobo2b2o12b2o6b2o3bobo2b2o12b2o6b2o 3bobo2b2o12b2o6b2o3bobo2b2o12b2o6b2o3bobo2b2o$3bo6b2o5b2o3bo12bo6b2o5b 2o3bo12bo6b2o5b2o3bo12bo6b2o5b2o3bo12bo6b2o5b2o3bo12bo6b2o5b2o3bo$2obo 7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o6b2obo7b2o5b2o2b ob2o6b2obo7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o$o2bob2o5bo6b2obo2bo6bo2bo b2o5bo6b2obo2bo6bo2bob2o5bo6b2obo2bo6bo2bob2o5bo6b2obo2bo6bo2bob2o5bo 6b2obo2bo6bo2bob2o5bo6b2obo2bo$2b2obo11bo2bob2o10b2obo11bo2bob2o10b2ob o11bo2bob2o10b2obo11bo2bob2o10b2obo11bo2bob2o10b2obo11bo2bob2o$5bo11b 3o17bo11b3o17bo11b3o17bo11b3o17bo11b3o17bo11b3o$5b2o7bo22b2o7bo22b2o7b o22b2o7bo22b2o7bo22b2o7bo$14b4o28b4o28b4o28b4o28b4o28b4o$17bo31bo31bo 31bo31bo31bo$16bo31bo31bo31bo31bo31bo$16b2o30b2o30b2o30b2o30b2o30b2o 10$13b2o30b2o30b2o30b2o30b2o30b2o$14bo31bo31bo31bo31bo31bo$13bo31bo31b o31bo31bo31bo$13b4o28b4o28b4o28b4o28b4o28b4o$16bo7b2o22bo7b2o22bo7b2o 22bo7b2o22bo7b2o22bo7b2o$11b3o11bo17b3o9bobo17b3o11bo17b3o11bo17b3o11b o17b3o11bo$7b2obo2bo11bob2o10b2obo2bo11bob2o10b2obo2bo8b2obob2o10b2obo 2bo11bob2o10b2obo2bo11bob2o10b2obo2bo11bob2o$5bo2bob2obo2bo7b2obo2bo6b o2bob2o2b2o4bo4bobo2bo6bo2bob2o8b6obo2bo6bo2bob2o9b5obo2bo6bo2bob2o9bo 2b2obo2bo6bo2bob2o8b2o2b2obo2bo$5b2obo4bo2bo2bobo5bob2o6b2obo5b3o2bo5b obob2o6b2obo5b3o3b3o2bobob2o6b2obo6b2o2b2o6bob2o6b2obo6b2o3bob2o3bob2o 6b2obo6b2o5bo4bob2o$8bo4bo3bo2bo6bo12bo4bo3bo2b2o5bo12bo5bo2bobo7bo12b o5b2o8bo2bo12bo6bo3b2ob2o3bo12bo6bobobo2bo4bo$8b2o4b3o9b2o12b2o4b3o9b 2o12b2o4b3o9b2o12b2o5b2obo4bo2b2o12b2o5bo3b2o2bo2b2o12b2o6b3ob3o3b2o$ 14b3o30bo68b2o26bobobobo25b2o3b2o3$20b2o30b2o30b2o30b2o30b2o30b2o$15bo 4b2o25bo4b2o25bo4b2o25bo4b2o25bo4b2o25bo4b2o$14bobo29bobo29bobo29bobo 29bobo29bobo$9b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob 2o23b2o2b2ob2o$9b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b2ob2o23b2o2b 2ob2o23b2o2b2ob2o4$3b2o6b2o3bobo2b2o12b2o6b2o3bobo2b2o12b2o6b2o3bobo2b 2o12b2o6b2o3bobo2b2o12b2o6b2o3bobo2b2o12b2o6b2o3bobo2b2o$3bo6b2o5b2o3b o12bo6b2o5b2o3bo12bo6b2o5b2o3bo12bo6b2o5b2o3bo12bo6b2o5b2o3bo12bo6b2o 5b2o3bo$2obo7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o6b2o bo7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o6b2obo7b2o5b2o2bob2o$o2bob2o5bo6b 2obo2bo6bo2bob2o5bo6b2obo2bo6bo2bob2o5bo6b2obo2bo6bo2bob2o5bo6b2obo2bo 6bo2bob2o5bo6b2obo2bo6bo2bob2o5bo6b2obo2bo$2b2obo11bo2bob2o10b2obo11bo 2bob2o10b2obo11bo2bob2o10b2obo11bo2bob2o10b2obo11bo2bob2o10b2obo11bo2b ob2o$5bo11b3o17bo11b3o17bo11b3o17bo11b3o17bo11b3o17bo11b3o$5b2o7bo22b 2o7bo22b2o7bo22b2o7bo22b2o7bo22b2o7bo$14b4o28b4o28b4o28b4o28b4o28b4o$ 17bo31bo31bo31bo31bo31bo$16bo31bo31bo31bo31bo31bo$16b2o30b2o30b2o30b2o 30b2o30b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME 6 HEIGHT 640 WIDTH 1200 ZOOM 6 GPS 23 ]]

Twelve variants of David Hilbert. The variants on the top are cis-isomers, while the bottom variants are trans-isomers. From left to right, each one has a different phase shift. From left to right: 6 to 11 ticks phase difference. (click above to open LifeViewer)

See also

• p23 honey farm hassler
• 92P23
• 70P23
• Prime-period oscillator

External links

• David Hilbert at Adam P. Goucher's Catagolue