hotcrystal0 reaction

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The hotcrystal0 reaction is a periodic glider-receiving mechanism that has been used for creating glider guns of various periods.

Unix-specific form

x = 43, y = 37, rule = B3/S23 33bo4bo2bo$31b3o4bo$30bo6bo4bo$30b2o4bobo2b2o$34b2obo$27b2o$27b2o$34bo 2bo$36b2o2$17b2o$7b2o7bobo$6bobo7bo$5b3o7b2o6bo$5b2o16b2o$6bobo13bobo$ 7bobo2b2o$8bo2bobo$9b4o20b2o$10b2o17b2obo$29b2o2bo2bo$34bobo$25bo9bo$ 24b2o$24b2o8b2o$24bo9b2o3$5b2o$5b2o$5b2o7b2o$6bo7b2o$5bobo$3obobo4b2o$ 4obo6bo17bo$4bo4b3o19bo$9bo19b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 29 THEME Book AUTOSTART KILLGLIDERS ]]
Period 174+24N glider gun (174 shown)
(click above to open LifeViewer)
RLE: here Plaintext: here

On November 13, 2021, hotcrystal0 found a partial conduit in a Life-related cellular automaton known as Symbiosis.[1] A glider hitting a bait block triggers a honey farm predecessor explosion, and some peripheral alien catalysts perturb it to restore the block and emit an additional octomino II.

A fortnight later, wwei23 found that a toad can turn a premature octomino II into a 90-degree glider, and completed the conduit in plain Life with a couple of unices as sparkers.[2] The first unix provides a dot spark to suppress a B3a birth. The second one can be placed in either of two possible locations, one of which produces an additional 180-degree glider along with the aforementioned one; this unix-specific form results in an adjustable p174+24N glider shuttle/relay.[3] Below is given a list of high periods where the smallest gun by bounding box uses this reaction. The four rows are by itself and with a period doubler, tripler, and quadrupler.

174 198 222 246 270 294 318
348 396 444 492 540 588 636
522 594 666 738 810 882 954
696 792 888 984
Key: hotcrystal0 reaction Something else

Periodic reflectors

Radiation.png This article is a stub. You can help LifeWiki by expanding it.
It was suggested that the pattern below be rearranged into two shorter rows or split into separate RLEs

In case only the 90-degree reflected color-preserving glider is needed, the device can be adapted to other periods.[4]

x = 236, y = 41, rule = B3/S23 130b2o$131bo$126bob3o91b2o$124b3obo93bo$123bo100bo$123b4o2bo90b4obo$ 82b2o42bo2bo90bo3bo$23bo49bo8bo40b2obobob2o41bo48bo$21b3o47b3o5b2obo 38b3obobobo41b3o3b2o42b3o2b2o4bo$20bo49bo5b2o3bo38bo6bobob2o37bo8bob2o 37bo5b3ob2obo$20b2o48b2o4bo43b2o4b2obo40b2o3bo2bo2b2o37b2o3bo7bo$77b3o 45bo2b2obo43bobo52b2ob2o$17b2o48b2o48b2o5b3o40b2o7bo19bob2o17b2o8bo3bo 2bo$17b2o6b2o40b2o6b2o24b2o14b2o5b3o40b2o27b2obo17b2o8bo5bo$25b2o3bo2b o40bo2bo22bo2bo21bo2b2o46b2o21bobo24bo2bo3bo$25b3o2bo2bo2bo43b2o18b2ob o22b2ob3o44b2o18b3obobo23b2ob2o$26bo2b2o2b3obo38bo4bo21b2o22bo4bo62bo 2bo3bo24bo7bo$3b2o21b2o8bo39bob3o19b3o2bo21bob3o63bo2b3ob2o23bob2ob3o$ 3bo4bo18bobo2bo24b2o18bo18b2obo4b2o2bo19b2o27b2o33b2obobo3bo3bob2o19bo 4b2o$2obo3bobo17bobo2bo26bo18b3o13bo2bob2o3b2obobo49bo33bo2b2obobo7bo$ 2obob2obo19b2o2bo23bo23bo13b2obo3b2o2bo2bo47bo36bo4b2obo6b2o$4bo52b2o 38bob2o2b2o52b2o35b3o4bob3o$97bo3bobo92bob2obobo$24b2o72b4obo93bobobob o$23bo2bo42bo32bo13bo2bo3b2o3bo73bo$16bo5bobobo73bo21bo2bobobo36b4o50b o$14b11ob2o37b2o5b2o26b2o13bo4bo2b3ob2o36bo4bo48bob4o$13bobo9bo37b2o4b o4b2o37b3ob2ob3o3bo37bobo3bo46b3ob2obo$17bo2bob2obo41b2ob2o40bo3bo2bo 3b2o2b2o34bobo3bo46bo4bo4bo$11b3o4bo2b2obo38bobo7bobo36b2ob2o2b4obo3bo 34bo52bob3obo3bo$3bo6bo2bo3bobo33bo9bo2bobobobo2bo27bo9bobo3bo3bo4bobo 22bo9bo39bo16bobo$3b2o6b2ob6o33b2o7b5obobob5o26b2o8bobo4bo8b2o22b2o8bo 2bo36b2o11bo3bob3obo$2bobo9bo5b2o30bobo7bo4bo3bo4bo25bobo9bo5bobo29bob o9b2o36bobo11bo4bo4bo$18bobob2o2b2o35b3obobobob3o142bob2ob3o$8bob2obo 2b3obobobo2bo37bo2bobo2bo144b4obo$8b2obob3o4bo3b3o39bobobobo149bo$12bo 3bo3b2o45b2ob2o$13b4o7b5o$25bo2bo$15b2o6bo$15b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 4 WIDTH 1030 ]]
hotcrystal0 glider reflector at p3, p4, p5, p6 and p7
(click above to open LifeViewer)
RLE: here Plaintext: here

Generalized form

A few hours after wwei23's post, Luka Okanishi modified the mechanism and created a true period-51 glider gun.[5] The second unix described above is replaced with the eater1-with-beehive constellation used in p5 quinti-Snark; this emits the 180-degree output glider on another transparent lane, 22 half-diagonals away from input, but destroys the octomino II. More notably, Luka collided sparks from two copies of this new reflector and added an eater 1, obtaining an extra glider parallel to both inputs and outputs. This over-unity reaction with a repeat time of 49 turns out to be suitable for building lower-period glider guns.

Since then, various people have found other compatible sparkers of various periods. Collaborative efforts have managed to construct the first true-period guns with periods 49 and 51, as well as to reduce in bounding box for several true gun periods including 52, 57, 65. On May 28, 2022, the p49 gun was significantly reduced due to the discovery of meatball, a slightly smaller sparker which could be used in place of 38P7.2.[6]

x = 89, y = 95, rule = B3/S23 62bo2bo$61bo$60bo5bo$59b2obobob3o$60bo3b2o3bo$60bo2bobobobo2$59bobobob o2bo$59bo3b2o3bo$60b3obobob2o$45bobo14bo5bo$45b2o20bo$46bo16bo2bo4b2o$ 69bo2bo$69b2obob2o$51b2o14bobo2bobobo$50bo2bo6b2o5b2o2b2obobo$51b2o6bo b2o12bo$59bo3bo$60b3o10b5o$48b2o11bo11bo3bo$49bo25bo$33bo12b3o25b3o8bo $33bobo10bo26bo6b2ob2obo$33b2o38b2o4b2o5bo$78bo2bo2bob2o$78bo3b3o3bo$ 50b2o26bo9bo$51b2o6b2o10bo6bo3b3o3bo$50bo7bobo10bo7b2obo2bo2bo$58bo11b obo7bo5b2o$57b2o12b2o7bob2ob2o$61bo9b2o8bo$61bobo$22bo38b2o$20b2o$21b 2o2$73bo$38b2o32bobo$26bo10bobo20b2o10bobo$24b3o12bo21b2o10bo$23bo36bo 7b2o$11bo11b2o42bobo$10b3o37bo16bo10bobo$9bo3bo34b2o16b2o10b2o$10b2obo 6b2o27b2o28bo$4b2o5b2o6bo2bo$3bobo14b2o$3bo$2b2o$9bo16bo$6bo5bo13b2o 20b2o$6bo5bo12bobo19bobo$6bo2bo2bo36bo2$2b2o4bobo4b2o20bo28bo$o2bo3b2o b2o3bo2bo17bo29bobo$2o15b2o17b3o27b2o$5bob5obo$5bob5obo2$2b2o11b2o$2bo 5bobo5bo$3b2o2bo3bo2b2o20bo$8bobo25b2o10b2o$b7o3b7o17bobo10bo$bo6bobo 6bo28bobo$3bob9o2bo29b2o7bo$2b2obo3bo3bo2b4o4bobo15bo10b2o$6b2obob2o6b o4b2o15bobo10b2o$7b2ob2o4b3o6bo15bobo$5bo7bo2bo25bo$3b3ob2ob2ob3o$2bo$ 3bob2obobob2o$2b2obo2bobo2bo$7b2ob2o$8bobo23bo8b2o$8bobo18b2ob2obo7b2o $9bo18b2o5bo7bobo$12bo14bo2bo2bob2o7bo$12bobo12bo3b3o3bo6bo$12b2o13bo 9bo$27bo3b3o3bo$28b2obo2bo2bo$29bo5b2o4b2o$29bob2ob2o6bo$30bo8b3o$40bo $38bo3bo$38b5o2$37bob2o$37b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 WIDTH 800 HEIGHT 830 THUMBSIZE 2 ZOOM 8 GPS 25 THEME Book STARTFROM 49 ]]
p49 glider gun
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 89, y = 87, rule = B3/S23 17bo3b2o$16bobobo2bob2obo$14b3obob4obob2o$13bo3b2o$13bob2obo$14bobob3o 3bo2b2o$16bobobo2b3o2bo$16bob2o2b2ob3o$12b2o3bo4bo$12bo2bobo7bo$8b2o4b 2o2b2o$3b2o3bo6bo3bo17b3o$2bo2bo4bob3o4bobo14bo2bo$2bobo4b3obo6b2o14bo 3bo6bobo$b2ob4o7bo19b2o11b2o$o7b2o4b2o7b2o10b3o10bo$b2o3b2o2bo12b2o$3b 3obo2b3o26b2o$b3obo7bo25bo$o3bo3bo3b2o10bo7b2o6b3o$o3b2o2bo13b4o5b2o9b o$b5o2b2o5b2o5b2obo7bo$4b2o2b2o5b2o4b2o3bo$b2o4b2o$bo5bo$2bo2bobo53bo$ b2o2b2o18b2o35bo$25bo34b3o$26b3o$19b2o7bo$18b2o17bo$20bo14bobo$36b2o6b 3o$44bo$12b2ob2o28bo$10b2ob2o$10bo$10bobo4b2o61b3o$11b2o4bobo53bo$19bo 44bo9b2o5b2o$19b2o43b3o6b2o$67bo$31b3o32b2o$31bo16bobo31b2o$32bo16b2o 7bo10b3o10b2o$49bo7b2o11b2o$13bobo41bobo6bo3bo14b2o$14b2o51bo2bo14bobo $14bo52b3o17bo$87b2o$81bo$84bo$79b3ob2o2b2o$78bo2b3o2bobo$45bo32b2o2bo 3b2o$44b2o16bo$44bobo16bo18bo3b2o$61b3o18bob2o2bo$27bo54bo4b2o$28bo49b 2o5bo$26b3o50bob8o$88bo$39b2o40b2ob2o$40bo41bobo$40bobo4b2o33bobo$41b 2o4bobo33bo$49bo$45b2ob2o$43b2ob2o3$39bo$40b2o$39b2o3$53b2o4b2o$52bobo 3bo$37bo14bo8bo$37bo13b2o6bo2bo$43b2o5b2o2bob2o2bob3o$43b2o5b2o2b2o2bo bo4bo$51bo2b3o3bob3o$46b2o3bo3b2o3bobo$46bo7bobo3bo$47b3o2bobobobobo$ 49bo2b2o3b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 WIDTH 800 HEIGHT 800 THUMBSIZE 2 ZOOM 8 GPS 25 THEME Book STARTFROM 51 ]]
p51 glider gun
(click above to open LifeViewer)
RLE: here Plaintext: here


SKOPs

Apart from coupling to give guns, this 180-degree reflector is also capable of constituting the smallest known oscillator by population of several periods. 5 was previously on the list, but none of those are SKOP anymore.

Base Sparker Periods
4 244, 268, 284, 332, 356, 388, 404, 436, 484, 500
6 unix 288, 324, 348, 366, 372
8 blocker 224, 352, 416, 472, 488
x = 46, y = 59, rule = B3/S23 9bo$4bo4b3o$4obo6bo$3obobo4b2o$5bobo$6bo$5b2o$5b2o7bo$5b2o7bo$13bobo$13b2o$ 13b2o6$12bo$11bobo$11bobo$12bo$16b2o$16bobo$18bo$18b2o10$26b2o$27bo$27bobo$ 28b2o$33bo$32bobo$32bobo$33bo6$31b2o$31b2o$30bobo$31bo7b2o$31bo7b2o$39b2o$39b o$38bobo$33b2o4bobob3o$33bo6bob4o$34b3o4bo$36bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 8 THEME Book STARTFROM 311 ]]
Formerly smallest p156 oscillator
(click above to open LifeViewer)
RLE: here Plaintext: here

References

  1. hotcrystal0 (November 13, 2021). Re: Symbiosis (discussion thread) at the ConwayLife.com forums
  2. wwei23 (November 27, 2021). Re: Thread for your reactions that might be useful for conduits (discussion thread) at the ConwayLife.com forums
  3. wwei23 (November 27, 2021). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  4. wwei23 (April 27, 2022). Re: Thread for your periodic conduits that do not necessarily involve Herschels (discussion thread) at the ConwayLife.com forums
  5. Luka Okanishi (November 27, 2021). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. iNoMed (May 28, 2022). Message in #cgol on the Conwaylife Lounge Discord server