(sent via email 6:21am CDT, 2 May 2024)
From this morning, here's another NewLifeCA contribution from Matthias Merzenich.
Sokwe wrote: ↑May 2nd, 2024, 4:10 amNew p7 Spaceships
Period-7 spaceships are quite rare, so it's a bit of a surprise when two unrelated p7 ships are found in a short period of time. On March 21, 2024, Caleb R. Hilton found a 2c/7 orthogonal tagalong for two weekenders. Matthias Merzenich then found a related smaller tagalong, and conwaylife.com user May13 found ways to connect these tagalongs to some existing components, one of which had no previously known supports.More significantly, on April 17, 2024, Hilton found only the fourth known elementary c/7 orthogonal spaceships.Code: Select all
#C New 2c/7 orthogonal tagalongs by Caleb R. Hilton and #C Matthias Merzenich, with component connections by May13 x = 82, y = 124, rule = B3/S23 33bo17bo$32bobo15bobo$31bo3bo13bo3bo$32bobo15bobo$32b3o15b3o2$bo12bo 16b2ob3o11b3ob2o$3o10b3o17b2o2bo9bo2b2o$3o10b3o17b2o3bo7bo3b2o$34b2ob 3o5b3ob2o$36b2ob2o3b2ob2o$3bo3b2o3bo28bobo28bo$bob4o2b4obo22bo3bobo3bo 23bobo$bob4o2b4obo23bobo3bobo23bo3bo$39bo5bo25bobo3b2o$5b6o4b3o17b3o9b 3o17b3o2bo2b2o2bo$4b2o4b2o62bo3bo$4b2o4b2o62bo2b2o$15b3o17b3o9b3o17b3o 4bo2b2o$16bo19bo11bo19bo5b2o2bo$17bo17bo13bo17bo9bo$19b2o11b2o17b2o11b 2o10b2obo$20b2o9b2o19b2o9b2o$16b2o3bo9bo3b2o11b2o3bo9bo3b2o$16b3o2b3o 5b3o2b3o11b3o2b3o5b3o2b3o6b3o$18bo2b3o5b3o2bo15bo2b3o5b3o2bo$19bo2b2o 5b2o2bo17bo2b2o5b2o2bo11b2o$20b3o7b3o19b3o7b3o12b2o$18bob3o7b3obo15bob 3o7b3obo9b2o$21b2o7b2o21b2o7b2o10b2o2bo$19bobo9bobo17bobo9bobo7bobobo$ 19b3o9b3o17b3o9b3o7bo2b3o$19bobo9bobo17bobo9bobo6b3o2b2o$21b2o7b2o21b 2o7b2o9b2o2b2o$18b2o13b2o15b2o13b2o12bo$19b2o11b2o17b2o11b2o14bo$19b2o 11b2o17b2o11b2o11bo2bo$20bobo7bobo19bobo7bobo12bo2bo$23bo5bo25bo5bo15b 3o$76bobo$21b2o7b2o21b2o7b2o11bob2o$20bo11bo19bo11bo12bobo$19bobo9bobo 17bobo9bobo10b2obobo$19bob2o7b2obo17bob2o7b2obo12b2obo$18b2obo9bob2o 15b2obo9bob2o13b2o$18bo15bo15bo15bo$19bobo9bobo17bobo9bobo$19bo13bo17b o13bo$19b3ob2o3b2ob3o17b3ob2o3b2ob3o$18bo4b2o3b2o4bo15bo4b2o3b2o4bo$ 17bo6bo3bo6bo13bo6bo3bo6bo$22b2o5b2o23b2o5b2o$16b2ob4o7b4ob2o11b2ob4o 7b4ob2o$16b2o17b2o11b2o17b2o2$17bo5b3ob3o5bo13bo5b3ob3o5bo$17bob5obobo b5obo13bob5obobob5obo$21bo3bobo3bo21bo3bobo3bo$18b2ob4o3b4ob2o15b2ob4o 3b4ob2o$18b3ob2o5b2ob3o15b3ob2o5b2ob3o2$24b2ob2o27b2ob2o$25bobo29bobo$ 23b2o3b2o25b2o3b2o$22bobo3bobo23bobo3bobo$22b2o5b2o23b2o5b2o$22bo7bo 23bo7bo$23b3ob3o25b3ob3o$25bobo29bobo$23bobobobo25bobobobo$21bo3bobo3b o21bo3bobo3bo$21b3obobob3o21b3obobob3o$24bo3bo27bo3bo$26bo31bo$20bo4b 3o4bo19bo4b3o4bo$21bo9bo21bo9bo$23b3ob3o25b3ob3o2$24b2ob2o27b2ob2o$24b 2ob2o28bobo$55bobobobo$22b9o23b2obobob2o$22bo3bo3bo24bo5bo$20bobo7bobo $19bo2b2o5b2o2bo19b2o7b2o$20bobobo3bobobo19bob2o5b2obo$21bo3bobo3bo19b 2ob2o5b2ob2o$22bobo3bobo21bob2o5b2obo$22bo7bo19bo2bo9bo2bo$22bo7bo18bo 6b2ob2o6bo$21b3o5b3o17bo4bo7bo4bo$21bo2bo3bo2bo18b2o4b2ob2o4b2o$20b2o 9b2o20b3o5b3o$20bobo7bobo22bo5bo$19b2o11b2o$18bobo11bobo$18bobo11bobo$ 18bobo11bobo$21bo9bo$19bobo9bobo$21b2o7b2o$21b3o5b3o$21b2obo3bob2o$20b o3b2ob2o3bo$19b2o3bo3bo3b2o$18bo5bo3bo5bo$17bobo3b3ob3o3bobo$17bo2bo2b o5bo2bo2bo$18bobo11bobo$24b2ob2o$19bo2bo3bo3bo2bo$23bo5bo$20bo2bo5bo2b o$20b3o7b3o$18bo2bo9bo2bo$20bo11bo$17bo5b3ob3o5bo$17bobobobo5bobobobo$ 18bo4b2o3b2o4bo$23bo5bo$19bo2bo7bo2bo$19b2obo7bob2o$19b3o9b3o$18b2o13b 2o!
The strong leading sparks immediately solved several previously known partial results by Hilton, Merzenich, Frank Everdij, and Hartmut Holzwart.Code: Select all
#C The fourth known elementary c/7 orthogonal spaceship #C Caleb R. Hilton, April 17, 2024 x = 19, y = 35, rule = B3/S23 4bo9bo$6bo5bo$bo5bo3bo5bo$8bobo$2ob3ob2ob2ob3ob2o2$4bo9bo$3bobo7bobo$ 2bo4b2ob2o4bo$2o3b4ob4o3b2o$o3bo9bo3bo$2bo13bo$2bo13bo2$3b5o3b5o$7bo3b o$8bobo3$5b9o2$4bobo5bobo$3b2o9b2o$3b3o7b3o$3b2o9b2o$2bo2bobo3bobo2bo$ b2o5bobo5b2o$2bobo2bo3bo2bobo$5b2o5b2o2$2bo2b2o5b2o2bo$2bo2b2o5b2o2bo$ 6bo5bo$3b2o9b2o$3bo11bo!
Synthesis-Based Knightship "Wickstretchers"Code: Select all
#C Pushalongs for a new c/7 orthogonal spaceship #C By Caleb R. Hilton, Matthias Merzenich, #C Frank Everdij, and Hartmut Holzwart x = 401, y = 103, rule = B3/S23 15bo5bo$15bobob2obo200b3o$15b2obob3o197bo$17bobo199bo4bo$19bo200bo$16b o204b2o$14b3o3b2o199bobo$14bobo5bo198bob2o$14bobob2obo197bob2o$20bo 198bobo$16b2obo$17bo3bo199bobo$22bo198bobo$18bo2b2o198b2o2$216b3o$216b 3o$18b5o193bobo$17bo5b2o190bo2b2o$16bo197bo3bob2o$16bo7bo189bo4b3o$22b o190bo2bo4bo$19b2o195bo$17bo2bo3bo$17b2o2bo3bo191b5o$16bo2bo2bo191bo2b 5o$18b5ob2o189b2o2b4o$19bobo192b2o164bo$19b3o193bo7bo155bobo$19b2o193b o7bo156bobo$16b3ob2o149bo5bo38bo157bo5bo5bo$16b2o152bobo3bobo35bobo 156bobo9bobo$17bo152bobo3bobo35b2ob3o152bo3bo3bo3bo3bo$171b2o3b2o39bo 2bo152b2obob2ob2obob2o$171b3ob3o40bo157b2o5b2o$15bo152bo2bo5bo2bo37bob 2o154b2obobob2o$14bobobob3o145bo3b2ob2o3bo34b2obo158bobobobo$14b2o2bo 149bo11bo35bob2o158bo3bo$17bobo193b2obo$18bo148b2o11b2o30bo4bo159b2o3b 2o$18b2o56bo25bo68b2o3b2o34b2obo157bobo9bobo$14bo2b2ob2o53bobo23bobo 25bo25bo11b3obobobobob3o32bobo155bobobobo3bobobobo$14bob2o3b2o52bo2bo 21bo2bo24bobo23bobo12bo3bobo3bo36bo155bobo11bobo$15b3o4bo53b2o23b2o25b o2bo21bo2bo13b2obobob2o34b2obo159b2o5b2o$19bobo107b2o23b2o14b2obobob2o 32bob2o2b2o156b3o5b3o$75bo27bo25bo25bo17bobo34bo2bo5bo154bo11bo$16b4o 56bo25bo69b2ob2o35b2ob2o$15b4o56b2o25b2o25bo25bo15bobobobo34bo5b2o26bo 5bo43bo$14b2ob2o56bo4bo17bo4bo24b2o25b2o14bo5bo33b3o31bobo3bobo41bobo 79b3ob3o$79bobo15bobo28b2o3bo17bo3b2o57bobo27bo2bo3bo2bo39bo2b2o75bob 2obobob2obo$78bo21bo31b2o17b2o19bo3bo38bo29b2o5b2o40bo2bo76b2obobobobo b2o$79b2o17b2o31bo21bo18bo3bo118bobo76bo2bobobobo2bo$78bo21bo30b2o19b 2o16bobo3bobo34b3o31bo3bo43b2o78bobobobobobo$13b7o59b3o15b3o31bo2bo15b o2bo14bob9obo32b2ob2o27b4ob4o41bo3b3o72b2obobobobob2o$12bob4ob2o111b2o 17b2o15bo3b2ob2o3bo31bo3b2o78b2obo73b3obobobobob3o$12b4o3b2o23b3o7b3o 22b2obo13bob2o71b2obob2o35b3o29bobo3bobo39b2ob4o72b2o3bobobobo3b2o$16b 3o25b3o7b3o22bobobo11bobobo32b4o13b4o16bobob3obobo33b2o33bobo43b3obo 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Keith Amling and conwaylife.com user vilc have constructed two patterns traveling at speed (2,1)c/6 which incrementally build wicks using glider synthesis. They are both too large to show here, but they can be downloaded from the following locations and run in Golly:Coming Soon: New c/4 Diagonal Technology
- (2,1)c/6 stretcher for a wick of barely interacting queen bee shuttles by Keith Amling
- (2,1)c/6 stretcher for a stable wick by Keith Amling and vilc
There's been an explosion of new c/4 diagonal technology in recent months, due mainly to the work of Keith Amling, David Bell, and Matthias Merzenich. This includes new puffer engines, rakes, object eaters, glider circuitry, and large constructions. I hope to write up a comprehensive overview soon.