Crystallization and decay oscillator

Crystallization and decay oscillator
x = 78, y = 91, rule = B3/S23 5b2o$5b2o3$4b3o$4b3o2$24b2o$24bo2bo$2b2o3b2o7b5o7bo9bobo$3b5o7bo5bo6bo 7bo3bo$4b3o8bo3b2o7bo7bo$5bo10bo7bo2bo7bo4bo8b2o$24b2o10bo12b2o$36bo3b o$27bobo8bobo$27b2o$28bo2$6bo$7b2o$6b2o5$2o3b2o$2b3o8bobo$bo3bo8b2o$2b obo9bo$3bo2$35bo$33b3o$3b2o27bo$3b2o27b2o7$20b2o$20bo$21b3o$23bo25$66b 2o6b2o$64bo4bo2bo4bo$64bo4bo2bo4bo$64bo4bo2bo4bo$66b2o6b2o7$60bo$59bob o$58bo3bo$58bo3bo$58bo3bo$58bo3bo$58bo3bo$58bo3bo$59bobo$60bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2700 GPS 60 THUMBSIZE 2 ZOOM 6 HEIGHT 640 WIDTH 640 ]]
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Pattern type	Oscillator
Number of cells	144
Bounding box	79 × 94
Period	2700 (mod: 2700)
Heat	148.2
Volatility	0.99 | 0.36
Kinetic symmetry	n
Discovered by	Dean Hickerson
Year of discovery	1990
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 only
Glider synthesis Fewest gliders (canonical) 26† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 26† Catagolue-generated RLE (cheapest variant) synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files RLE crystallizationanddecayoscillator.rle
Identifiers apgcode (canonical) xp2700_y1j3zwo21512oy6ggxckogy8gzx12221y33331221wca73hy3errvhy03xcczy3iyf322y61zy1123z15ooo51y28aczxggyng88czx11yn11zygckggzyj1zzzzzyzyl4elle4w4elle4zzyzygskszyzygvnv apgcode (cheapest variant) xp2700_y03jzwo21512oy2ggg0ggxckogy8gzx12221y31111221wca73hy3errvhy03xcczy3iyf322y61zy1123z15ooo51y28aczwggyog88czw11yo11zygckggzyj1zzzzzyzyl4elle4w4elle4zzyzygskszyzygvnv

Crystallization and decay oscillator is a period-2700 oscillator discovered by Dean Hickerson on March 27, 1990. It makes use of a common crystal formed by sufficiently high-period glider streams colliding with honey farms, which form and destroy a crystal of dual beehives in a periodic fashion. By moving the pentadecathlons and the p150 glider gun, any period of the form 750 + 1950n (n ≥ 0) can be obtained.

Jeremy Tan found a 34-glider synthesis for this oscillator on January 7, 2020. MathAndCode reduced this to 29 gliders in December of that year, and then to 26 gliders in August 2021.

In February 2021, Sphenocorona found a series of "period-multiplying eaters" which can be used to construct crystallization-and-decay oscillators using any sufficient glider stream.

External links

• Crystallization and decay oscillator at Adam P. Goucher's Catagolue (extended)
• Crystallization and decay oscillator at Adam P. Goucher's Catagolue (extended) (version with cheapest known synthesis)