David Hilbert

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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 ]]
Pattern type Oscillator
Number of cells 122
Bounding box 33 × 26
Period 23
Mod 23
Heat 34.6
Volatility 0.71
Strict volatility 0.71
Discovered by Luka Okanishi
Year of discovery 2019

David Hilbert[1][note 1] was the first period-23 oscillator to be discovered. It was found by Luka Okanishi on November 24, 2019[2] based on a partial result by praosylen.[1] 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.[3]

Other p23 oscillators can be constructed that combine David Hilbert with the p23 honey farm hassler.[4]

David Hilbert was voted Pattern of the Year for 2019 on the ConwayLife.com forums.[5]

See also


  1. Named after German mathematician David Hilbert in reference to his 23 problems.


  1. 1.0 1.1 Luka Okanishi (November 25, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Luka Okanishi (November 24, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. Goldtiger997 (December 29, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. James Pascua (February 16, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. Dave Greene (March 16, 2020). Re: POTY 2019 Voting (discussion thread) at the ConwayLife.com forums

External links