Gliders by the dozen

Gliders by the dozen
x = 5, y = 3, rule = B3/S23 2o2bo$o3bo$o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Pattern type	Methuselah
Number of cells	8
Bounding box	5 × 3
MCPS	9
Lifespan	184 generations
Final population	124
L/I	23
F/I	15.5
F/L	0.674
L/MCPS	20.4
Discovered by	Roger H. Rosenbaum
Year of discovery	1971
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 only
Glider synthesis Fewest gliders (canonical) 4 Fewest gliders (cheapest variant) 3 Uploaded synthesis RLE glidersbythedozen_synth.rle
Pattern files Plaintext glidersbythedozen.cells RLE glidersbythedozen.rle

Gliders by the dozen is a methuselah with a lifespan of 184 generations. It was first reported in a larger form (shown below) by Roger H. Rosenbaum in Lifeline Volume 3. The pattern shown to the right is a predecessor of generation 1 of the original form.

Its name arises from the fact that it emits exactly 12 gliders before stabilizing. It is possible to reflect some of them to clean up the junk objects and re-produce the initial pattern, which then becomes an over-unity reaction capable of driving glider guns. This is the core mechanism of cyclotron, a period-874 glider gun built by Dean Hickerson in 1992.

Stable pattern

The stable pattern that results from gliders by the dozen has 124 cells and consists of 12 gliders, 8 blinkers, 4 beehives and 4 blocks.

x = 69, y = 89, rule = B3/S23 3bo61bo$2b2o61b2o$2bobo59bobo5$20b3o23b3o$20bo27bo$21bo25bo7$bo20b2o21b 2o20bo$2o20b2o21b2o20b2o$obo63bobo6$22b2o21b2o$21bo2bo19bo2bo$22b2o21b 2o11$25bo17bo$25bo17bo$25bo17bo3$22b3o19b3o4$22b3o19b3o3$25bo17bo$25b o17bo$25bo17bo11$22b2o21b2o$21bo2bo19bo2bo$22b2o21b2o6$obo63bobo$2o20b 2o21b2o20b2o$bo20b2o21b2o20bo7$21bo25bo$20bo27bo$20b3o23b3o5$2bobo59b obo$2b2o61b2o$3bo61bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 WIDTH 700 HEIGHT 600 ]] Generation 184 (click above to open LifeViewer) RLE: here Plaintext: here Gallery x = 9, y = 5, rule = b3/s23 2b2ob2o2b$bobobobob$o2bobo2bo$bobobobob$2b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]] The original form of gliders by the dozen (click above to open LifeViewer) RLE: here Plaintext: here x = 310, y = 212, rule = B3/S23 58b2o$59bo175b2o$235bo$73b2o$74bo7$271b4o$53bo3bo213bo2b2o6b2o$54bobo 215bo2b2o6bo$54bobo9b2o5b2o197bo2bo$54bobo9b2obobob2o198b2o$50bo2bo3bo 2bo5bo2bobo2bo$51b3o3b3o6b3o3b3o198b2o$234b3o5b3o27bo2bo$234bo2b2ob2o 2bo10bo16bo2b2o$235b3o3b3o11b2o14bo2b2o$236bo5bo28b4o4$201b2o14b3o8b2o $201bo17bo9bo$59bo159bo$58b2o158bo16bo$235b2o$74bo143bo$73b2o9b2o8b3o 14b2o106bo$84bo9bo17bo106bo41b2o$94bo122b3o41bo$95bo2$95bo$94bo$94bo$ 94b3o5$300b2o$300bo$261bo7bo$260bobo5bobo$263bo3bo$40b2o218bo2bo3bo2bo $40bo220bobo3bobo$122b3o138b2ob2o$15b2o93b2o8bo4bo57b3o74b2ob2ob2ob2o$ 16bo93bo9bo5bo44b2o8bo4bo11b2o60b2o2bobo2b2o$125bo45bo9bo5bo11bo61b3o 3b3o$123b2o61bo75bo5bo$184b2o$123b2o176bo5bo$125bo58b2o114b3o3b3o$120b o5bo11bo13b2o5b2o25bo74bo37bo3bobo3bo$120bo4bo11b2o14bo5bo21bo5bo73b2o 36bo9bo$9bo5bo106b3o56bo4bo113b3o3b3o$8b3o3b3o48b3o115b3o$7b2obo3bob2o 35b2o8bo4bo$39b3o5b3o3bo9bo5bo129bo$39b3o5b3o18bo128b2o$40b2o5b2o17b2o 130b2o$42bo3bo61bobo$40bo2bobo2bo17b2o41b2o$39bo3bobo3bo18bo40bo35b3o 3b3o5b3o3b3o114bobo$40bo2bobo2bo14bo5bo11bo63bo2bobo2bo5bo2bobo2bo114b 2o$40b3o3b3o14bo4bo11b2o63bo7bo5bo7bo115bo24bo$65b3o239b2o4$48bo$47b2o 2$8bo27bo236b3o$8b2o24bobo236bo$35b2o237bo2$229b2o$230bo2$153bo5bo$ 152b2o5b2o7$307b2o$308bo$224b2ob2o$224b2ob2o$224b2ob2o$222bob2ob2obo$ 222b3o3b3o$223bo5bo7$300b2o5b2o$299bo2bo3bo2bo$230bo71b2ob2o$229b2o70b obobobo$301bobobobo$299bo9bo8$308bo$307b2o4$53b2o$53bo2$152b2o5b2o$ 153bo5bo7$53bo7bo2$51b3o7b3o$52b2ob2ob2ob2o$53b3o3b3o$54bo5bo$b2o$bo$ 112b2o31bo7bo5bo7bo$111bobo31bo2bobo2bo5bo2bobo2bo$23bo89bo31b3o3b3o5b 3o3b3o$23b2o$22bobo2$2bo5bo$b3o3b3o$o2b2ob2o2bo42bo124bob2o$3o5b3o42b 2o69bo47b2o3bo2b2o2b3o$122bo2bo46bo4bo6b2o$122b5o10b2o14bo5bo17b2o3b3o $42b2o78b3ob2o10bo13b2o5b2o18bo3bo$42bo80b2obo$124b2o53bo3bo$177b2o3b 3o$124b2o51bo6b2o14bo$123b2obo50bo2b2o2b3o12b2o$110bo11b3ob2o50bob2o$ 110b2o10b5o$122bo2bo$124bo4$9bo32b3o3b3o$8b2o32b3o3b3o$41bob2o3b2obo 170bo$41bob2o3b2obo169b2o$42b2o5b2o169b2o$43bo5bo171b2o$92b2o2bobo$91b 3obo3bo$90b2o6bo$91bob5o123b2o$92b3o116bo8b2o17bo$211b2o8b2o15b2o$92b 3o127bo$75b2o14bob5o$42bo7bo25bo8bo4b2o6bo14bo$42b2o5b2o34b2o4b3obo3bo 12b2o$92b2o2bobo7$69bo5bo$68b3o3b3o$68bob2ob2obo$39bo30b2ob2o$38b2o15b 2o13b2ob2o$37b2o17bo13b2ob2o$38b2o4$38b2o$28bo8b2o$28b2o8b2o$39bo4$76b o$75b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 2 WIDTH 700 HEIGHT 600 ]] Dean Hickerson's cyclotron (click above to open LifeViewer) RLE: here Plaintext: here References External links Gliders by the dozen at the Life Lexicon Paul Callahan (February 24, 2019). Re: Refactoring DRH's cyclotron with stable components? (discussion thread) at the ConwayLife.com forums