Cord puller

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Cord puller
x = 98, y = 93, rule = B3/S23 28b3o$27bo3bo$26bo4bo8b2o3b3o$26bo2bobo7b4o$26b2obobo6bo3b2o$28b2obo2b o4b2obobo$18b3o9b2o2bo$17bo2bo10b3o13bo6b2o$16bo4bo22bo2bo6bo$16bo2b3o 23b3o$16bo5bo$17b7o$23bo$23bo$21b2o$62b2o$62bo2$24b3obo$24b3obo$25bo8b 2o$26bo3b3ob2o$27bo6bo$28bobobobo35b2o$29bo40bo9bo$61bo16b3o$2b3o55bob o14bo$bo3bo53b2ob2o13b2o$o4bo53b2ob2o$o2bobo52b3o$2obobo52b3o3bo$2b2ob o2bo50b2o$4b2o2bo50bobo$5b3o64b2o3b2o$72bobobobo$73b5o$74b3o$75bo3$47b 2o$45b6o$44b6o$43bo6bo26b2o$44b3o30bo$8b2o35b2o31b3o$8bo39bo8bo22bo$ 53b2o2b2ob3o$53bo5b4o$57b2o2$35bo15bo29bo2bo$34bobo12b3o28bo3b2o2b2o$ 16b2o15b2ob2o10bo31bo7bo$16bo16b2ob2o10b2o19bo11b4o8b2o$32b3o32b3o23bo $32b3o3bo27bo12bo$33b2o31b2o3bo6b2o$33bobo35b3o4bobo$74bo$73b2o$24b2o 17b2o3b2o$24bo27b3o$43bo5bo4bo6b2o3b2o$53bo8b5o$44b2ob2o14b3o$46bo17bo 8b2o3b2o12b5o$58b3o12bo5bo11bob3obo$58bo33bo3bo$48bo10bo14bo3bo14b3o$ 47bobo25b3o16bo$46bo3bo41b2o$46b5o40bobo$45b2o3b2o39bobo$46b5o41bo$47b 3o11b3o$48bo$61bobo14bo10b2obob2o$60b5o11b2ob2o8bo5bo$59b2o3b2o24bo3bo $59b2o3b2o9bo5bo9b3o2$75b2o3b2o3$48b2o$48bo2$61b2o28b2o$61bo29bo2$78b 2o$78bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Sawtooth
Number of cells 434
Bounding box 98×93
Expansion factor 6
Discovered by Dean Hickerson
Year of discovery 1991

Cord puller is a diagonal sawtooth that was discovered by Dean Hickerson on May 14, 1991. It has expansion factor 6.

It works by firing pairs of gliders at the back of a 7-engine Cordership so that when the first pair hits the Cordership, a block is created in the path of the following glider pairs. When those pairs hit the block, it is pulled back closer to the gun at the southeast. When the block reaches the gun, it is destroyed, allowing the gliders to reach the Cordership again and start the process over again.

Its population in generation t = 8(6n) - 216 (n ≥ 2) is t/36 + 558, but the population in generation 32(6n) - 429 (n ≥ 2) is only 469.[1]

Image gallery

The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.

References