ConwayLife.com

x = 167, y = 85, rule = LifeHistory .C29.C$.2C28.2C$2C28.2C$42.A$12.2A.A.2A22.A.A$13.A.2A.A23.A$13.A25.3A $12.2A23.A2.A$.2A4.A2.A26.2A3.A2.A$.2A4.4A.2A24.A.A.4A$11.A.A23.A2.2A $9.A27.A.A3.A$9.2A25.2A.2A.2A13$33.A$32.A.A.2A56.2A.2A$31.A2.A.A2.A 55.A.A$31.A.A.A2.2A54.A3.A2.2A54.A$30.2A2.A5.2A52.A.2A....

I’m reposting this in case anyone missed it: x = 9, y = 31, rule = LifeHistory 5.2A$5.2A3$4.A$3.A.A$3.A2.A$4.2A2$2.A$2A2.A$4.A.A$2.A3.A$6.A$2.3A4$5. 2A$4.A2.A$4.A2.A$3.A4.A$3.A4.A$4.4A$3.2A2.2A$3.A4.A$3.A4.A3$4.4A$5.2A ! Is it doable? This looks easier: x = 12, y = 31, rule = LifeHistory 4.2A$4.2A3...

Possible starting point for a lobster eater + glider converter, just need a glider and a tandem separated by very few lanes: x = 116, y = 116, rule = B3/S23 12b2o$bo10b2o$2bo$3o16bob2o$19b2obo6$63bo$11bo5bo44bo$12bo3bobo43b3o$ 10b3o4b2o3$47b2o$47b2o4$38b2o$39bo$39bobo$40b2o$2b2o$2b2o$37b2o$38bo9b 2...

I found a p13 billiard table partial. I looked for ways to stabilize it, but I found nothing. x = 21, y = 20, rule = B3/S23 b2o10b2obo$bo2b2o3b2o2bob2o$2b2obo2bo2bobo$3bobobobobob4o$2bo2bobobobo 5bob2o$2bobobobobob3o2bobo$b2obobobobo4bobobo$2bobobobobob2obobob2o$2b obobobobo2bobobo$b2obobobobobo2bo...

Lobster Heisenburp (XWSS needed) x = 27, y = 30, rule = B3/S23 2o$obob2o$b2ob2o2$13b3o$13bo$14bo2b2o$17b2o$13b2o$14b2o$13bo2bo2$15bo 2bo$15bo3bo$16b3obo$21bo$b2o2bobo13bo$bobob2o13bo$bo4bo2b2o13b2o$7bo3b o6b2o2b2o2bo$3b2o6bo6bo2bo$3b2o4bobo4b2o$10bo5bo3bo3bo$11bo2bo4b2o$12b 2o3bo5bobo$16bo8b2o$16bo4...

R-to-beehive found by ljkiernan: x = 24, y = 19, rule = LifeHistory 7.B.B$3.2D6B$2.D2BD6B$3.2D7B$4.10B$4.11B$3.3BC9B$2.4B2C9B$.4B2C10B$. 19B$17B2A.A.2A$.16B.A.2A.A$2.7B.7B.A$4.4B4.4B.2A$4.2B2AB2.BA2.A$6.2A 4.4A.2A$17.A2.A$14.3A2.2A$14.A! Reduction x = 24, y = 19, rule = LifeHistory 7.B.B$3.2D6B$2.D2...

G-to-pi found by me, repeat time is 90 ticks: x = 30, y = 62, rule = LifeHistory 13.2A$13.A.A$16.A2.2A$11.4A.A3.A$10.A2.A.A.3A$10.2A2.BA.A$14.BABAB3A$ 14.2B2A.A2.A$13.6B2.A.A$12.4B6.A.A.2A$11.6B7.A.A$11.6B6.2A.A$5.2B3.8B 4.3B.A.2A$3.4B2.11B2.B4A2.A$.21B.AB2.2A$3D21B3A$D23B2.A$3D21B2.A.A$2. 21B4.2A$4...

I'm trying to resort my collection based on catalyst frequency class. Here's what I have so far: x = 4322, y = 2605, rule = LifeHistory 962.2A$962.A$960.A.A$569.2A220.2A167.2A$570.A221.A$570.A.A219.A.A$571. 2A220.2A$2806.2A.2A$581.2C73.2C73.2C73.2C73.2C73.2C73.2C1774.A.A$580. 2C73.2C73.2C73.2C73.2C7...

An R to Lom found by ljkiernan x = 48, y = 25, rule = LifeHistory 37.3D$34.B2D2BD$34.BD2B2DB$33.2B3D3B$33.9B$33.9B$33.9B$24.B2.2B3.10B$ 6.9B8.19B$5.10B7.19B$5.11B6.19B$4.14B3.21B.2A$3.33B3.2AB2.A$3.4BC26B 4.AB.A2.A.2A$3.4B2C25B5.2A.A.A.2A$3.3B2C26B6.A.2A$4.30B6.A$5.29B7.3A$ 4.31B.BA5.A$4.9B2.B.B4.B2...

x = 1712, y = 158, rule = LifeHistory 1473.A89.A89.A$1474.A89.A89.A$1472.3A87.3A87.3A3$1492.A89.A89.A$1490. 3A87.3A87.3A$1489.A89.A89.A$1489.2A88.2A88.2A$1357.A116.2A88.2A88.2A$ 1355.3A117.A89.A89.A$1354.A120.A.A87.A.A87.A.A$1345.2A7.2A120.2A10.A 77.2A10.A77.2A10.A$1345.2A140.A.A87.A.A87.A.A$1487.A...

x = 1712, y = 158, rule = LifeHistory 1473.A89.A89.A$1474.A89.A89.A$1472.3A87.3A87.3A3$1492.A89.A89.A$1490. 3A87.3A87.3A$1489.A89.A89.A$1489.2A88.2A88.2A$1357.A116.2A88.2A88.2A$ 1355.3A117.A89.A89.A$1354.A120.A.A87.A.A87.A.A$1345.2A7.2A120.2A10.A 77.2A10.A77.2A10.A$1345.2A140.A.A87.A.A87.A.A$1487.A...

c/2 LWSS backrake Known? The frequency of the LWSSes depends only on the period of the Loaf-puffer - p16 in this case. x = 81, y = 33, rule = B3/S23 7b2o$2o2b3ob2o$2bob5o$5b3o$3bo$2b2o$5bo$6bo$5bobo$7b2o$4bob2o$5b2o65b 2o$2b3o64b3ob2o$bob2o64b5o$4bo65b3o2$2bo5b2o50b2o14b2o$2b6ob2o61b2o5bo $3b7o61b3...

New conjecture:
There exists only one unique rumbling river rotator and excluding longer wicks which it can be derived from it.

x = 24, y = 15, rule = B3/S23 2bo$bobo$bobo$2ob2o$bo19b3o$bob2o16bobo$2obo17bobo$o2bo$2bob2o$b2o3bo $3b2obo$3bo2bobo$4bo2b2o$b3o$bo! Found this catalyst by hand. This has first appeared here Pi: x = 476, y = 530, rule = B3/S23 13b3o43b3o45b3o50b3o45b3o39b2o48bo60b3o36b2o48bo$13bobo43bobo45bobo50b o...

P91 gun similar to the AK-94 found by Nico Brown: x = 54, y = 37, rule = B3/S23 31bo7b2o$31b3o5b2o$34bo$33b2o16b2o$46b2o2bo2bo$46bobo2b2o$36bo12b2o$ 36bo13bo$35bobo12bob2o$35b2o10b2obo2bo$35b2o10b2ob2o4$46b2o$12b2o32bob o$13bo34bo$13bobo32b2o$14b2o22b2o$4b2o32bobo$5bo34bo$5bobo32b2o$6b2o4$ 2b2ob2o10...

I’m curious if a diagonal moving sawtooth can be constructed now

Trying to construct 3c/7 moving sawtooth: #Sawtooth 11599 x = 383, y = 645, rule = B3/S23 19bo11bo319bo11bo$18bobo9bobo317bobo9bobo$17b2ob2o7b2ob2o315b2ob2o7b2o b2o$17bo15bo315bo15bo$17b3o2bo5bo2b3o315b3o2bo5bo2b3o$15bo7bo3bo7bo311b o7bo3bo7bo$16b2o2b2ob2ob2ob2o2b2o313b2o2b2ob2ob2ob2o2b2o$16bobo4bo...

x = 2835, y = 821, rule = B3/S23 1355b3o5b3o$1355bobo5bobo$1355bobo5bobo$1353bob2o3bo3b2obo$1353b2o4bob o4b2o$1357b2obob2o$1356bo7bo$1144bo7bo203bobo3bobo$1142b2ob2o3b2ob2o 197b5o7b5o$1142b2ob2o3b2ob2o196bo2bo11bo2bo$1145b2o3b2o200bob3o7b3obo$ 1141bo5b3o5bo198bob2o5b2obo$1141bo13bo197b2obobo3bobob2...

mirrored table factory: x = 46, y = 52, rule = LifeHistory 4$19.A$19.3A$22.A$21.2A$15.A5.4B$14.A.A6.B2A$14.A.A5.BA.A$12.3A.2A4.B 2A$11.A4.B5.3B$12.3AB2AB.5B$14.A.2AB.5B$18.7B$19.6B6.A$17.8B4.3A$7.2A 8.8B3.A$8.A9.8B2.2A$8.A.AB4.14B$9.2AB.15B$11.19B$11.21B$12.21B$11.22B $9.24B$7.19B.B.2B.B2A$7.2BC8B2D...

p42 3c/7 forerake: x = 125, y = 138, rule = B3/S23 60bo7bo$59b3o5b3o$59bobo5bobo$57bobo4bo4bobo$57b2o4bobo4b2o$62bobobo$ 61b2o3b2o$60b3o3b3o$56b2o2bo7bo2b2o$56b2obo9bob2o$56bo15bo$58bob2o5b2o bo$57b2ob2o5b2ob2o$62bo3bo$58bo11bo$57bo4bo3bo4bo$61b2o3b2o$61b2o3b2o$ 57bo3bo5bo3bo$57bo3bo5bo3bo$56b2o13b...

This almost works, the only thing stopping it from working is an annoying pi and block: x = 37, y = 65, rule = LifeHistory 9.A$8.A.A$9.A2$7.5A$6.A4.A$5.A2.A$2.A2.A.2A$.A.A.A5.A$2.A2.A4.A.A$5.2A 2.A2.A$10.2A3$4.2A$3.A.A$3.A$2A.2A$2A.A30.2A$3.A30.2A$3.2A8.3D$13.DBD $3.2A6.2BDBD$3.A7.5B13.2A$2A.A2.A4.5...

Trying to construct 3c/7 moving sawtooth: RLE Try using the newer rakes like this one x = 100, y = 249, rule = B3/S23 47bo11bo$46bobo9bobo$45b2ob2o7b2ob2o$45bo15bo$45b3o2bo5bo2b3o$43bo7bo 3bo7bo$44b2o2b2ob2ob2ob2o2b2o$44bobo4bo3bo4bobo$41b3ob3o2b2o3b2o2b3ob 3o$41b2ob4ob3o3b3ob4ob2o$42b4o4b2o3b2o4b4...

EDIT: Here's something delightfully weird and spartan. I haven't found a good way to cleanly extract one of the B outputs, but I'm sure there's something that doesn't require resorting to Bellman: x = 34, y = 35, rule = B3/S23 $10b2o$10bobo7bo$12bo5b3o$12b2o3bo$17b2o4$30b2o$9bo20b2o$10bo$10b2o14b o...

Incomplete synthesis for the base catalyst in the new G-to-Xs: x = 597, y = 44, rule = B3/S23 580bo$578bobo$579b2o2$581bo$571bobo7bobo$424bobo65bobo77b2o7b2o7bo$419b o4b2o66b2o39bo38bo15b2o6bo$420bo4bo3bo8bo54bo40bo41bo12b2o3b2o$53bo364b 3o7bo7b2o94b3o42b2o16b2o$54bo373b3o6b2o49bo48bo38b2o$52b3o12bo...

Double catalyst in an unexpected way: x = 36, y = 53, rule = LifeHistory 29.2A$28.A.A$28.2A$32.2A$32.A.A$34.A$34.2A2$13.3D$13.DBD$11.2BDBD$11. 5B$11.5B$11.7B$11.8B$12.8B2.2A$11.9B2.2A$11.8B$10.9B$11.7B$10.2B2A4B$ 10.BA2BA3B$10.2B2A4B.B$11.11B$12.12B4.B$.C9.15B.B2A$2BC8.17B2A$3CB6.17B .B$.4B5.15B$2.4...