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!
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#C [[ GPS 11.5 THUMBSIZE 2 ZOOM 10 ]]
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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
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 and monomerise 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]
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 ]]
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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 ]]
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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
Notes
References
External links