Jormungant wrote: ↑April 1st, 2022, 9:22 am
It seems there is already one of these 180 reflector, but here is alternative reflection that could be used for a caber tosser:
Code: Select all
x = 93, y = 67, rule = LifeHistory
7$2.B$2.2B$2.3B$2.4B$3.4B$4.4B$5.4B$6.4B$7.4B$8.4B$9.4B$10.2BCB45.7B
2C$11.2B2C43.8B2C$12.2C2B41.10B$13.4B41.8B$14.4B39.9B$15.4B37.10B$16.
4B35.6B2C2B$17.4B34.5BC2BCB.2CB$18.4B30.B2.5BC3B5C5B2C$19.4B27.10BCBC
BC.8B2C$20.4B26.12B3.C9B$21.4B23.8B3CB6.8B$22.4B22.4B2CBC3B6.9B.B$23.
4B19.6BC4BC6.16B$24.4B18.7B3C2B5.19B$25.4B16.13B3.22B$26.4B15.2B2C8B
3.24B$27.4B15.BCBC7B.26B$28.4B10.BC.BC2BC5B3.25B$29.4B8.BC3B3C4B3.26B
$30.4B7.2C2BC2BC3B4.14B2.10B.B$31.4B6.3CB2C5B2.13B5.16B$32.4B7.4C19B
5.18B$33.4B7.22B3.7B3C10B$34.4B7.5BC12BCB3.2BC6BC2BC8B$35.4B6.3B2CB2C
10BCB.3BCBC9BC7B$36.4B5.3B2CB2C11BC4BCBC6BCBC8B$37.4B4.4BCB3C35B$38.
10B3C38B$39.B.5B.42B$38.51B$38.51B$38.26BCBC22B$40.B2C19B2C2B2C21B$
40.B2C7BC11B2C3B2C20B$41.9B2C10B2C2B2C21B$44.4BC14B2CB2C21B$44.4B2CB
2CB.9B2C23B$45.3B2C2BC36B$45.5B2C37B$46.19B3C21B$48.17BCBC21B$48.17B
3C21B$49.40B$52.37B$52.37B$53.36B$53.36B$54.35B!
It reminds me of
gmc_nxtman's post, but that post does not have any same-lane 180-degree reflection. Another reflecting reaction that has been used in the moving
glider loop leads to a 96×50 caber tosser, which does not beat my last 64×73 record using one from
this thread. For comparison, here they are:
Code: Select all
x = 96, y = 160, rule = B3/S23
17b3o$15b7o6bo$14b9o4bo$13bo7b3o2b2o$14b3o6bo3bo2bo$15b2o11b3o$18bo10b
o$19bo18b2o$20bo17b2o4$obo$3o$2o15bo$17bo$16bo$3bo13b2o$bobo12bo2bo$b
3o12bobo$4bo$5o12bo$15bo2bo$16b4o$18b2o$16bo$15b2o29bo$15bo2bo$16b3o
24b3o$17bo27bo$44bo2$5b2o$5b2o2$49bo3bo$44bo2b2obobob2o2bo$42b2obobo2b
obo2bobob2o$42b2o3bobo3bobo3b2o$44b2o2bo5bo2b2o$13b2o$13b2o$27b2o$17bo
10bo$15bobo10bobo$16b2o11b2o4$44b2o2bo5bo2b2o$42b2o3bobo3bobo3b2o$11b
2o8b3o5b2o11b2obobo2bobo2bobob2o$7bo3b2o7bo8bo14bo2b2obobob2o2bo$3b2ob
2o12bo2bo3bobo19bo3bo$2bobobo11b2o3bo3b2o$3b2ob2o9bo4bo18bo$4b2o11bo3b
obo17bo$2bob3o10bo4bo17bo$2obo4b3o7b2o4bo9b2o16b2o4bo$20bo3bo10bo12bo
3b2o3bob2o$20bo3bo10bobo9bobo7bo$21b3o12b2o8b2ob2o8bo$27b2o12bo5bo2bo
5b3o$14b2o11bobo10bob2o4bobo5bo$14b2o13bo10bob2o5bo8bo2b2o$29b2o10bobo
11b4o4bo$41b2o12bo3bo2bo$41b4o16bo$43b2o$36b2o7bo$35bobo7bo3b2o$35bo8b
o4b2o$34b2o32$84bob2o$84bo2b2o$86bo4$32b2o$22bo3b2o4b3o$22bob2o2bo6bo$
22bo2b5o2b4o$26b3o3b3o$25b3o$25b2o17b2o$25bo18b2o3$5bo71bo11bo$4bobo
70b2o9b2o$4bo2b2o$2b7o14bo52bo13bo$bo2bo3bo14bo28b2o21b2obo3bobo3bob2o
$3o2b7o11bo28b2o24bo3bobo3bo$2b3o2bo8bo60bo3bo3bo3bo$3b2ob2o8bo61bo9bo
$4b3obo2bo39b2o23bobo9bobo$5b3ob2o13b2o22b3obo6b2o15b2o11b2o$8bo13b2ob
o22b6o6bo15bo13bo$21bo3bo26bo7bobo$21bo2b2o18b2o3bo2bo8b2o13bo13bo$22b
3o20b2o2bo2bo23b2o11b2o$23bo21b2o29bobo9bobo$45bo32bo9bo$77bo3bo3bo3bo
$78bo3bobo3bo$37bo5b2o16b2o12b2obo3bobo3bob2o$36bob2o3b2o16bo14bo13bo$
36bo17bo4bobo$11b2o25bo14b3o3b2o16b2o9b2o$11b2o22b3o14b5o15b2o3bo11bo$
35bo15b2o3b2o14bobo$37bo2b2o10b5o15bo$34b4o4bo10b3o10b2o16b2o$34bo3bo
2bo12bo12bo16b2o3bo$40bo26bobo19bob2o$68b2o9b2o8bo3b2o$19b2o38b2o18bob
o$19b2o25b2o11bobo19b2o7b2o3bo$46b2o13bo10b3o12bob3o$61b2o12b2o9bob2o
3b3o$70b2obob3o9bobo4b2o$74bo2b2o$73b2ob3o$68bo6bob2o$67bob2ob2o7b2o$
67bo7b2o4b2o$66b2o!
(Note: When considering smallest initial bounding box for a caber tosser, I need to rule out predecessor tricks with this requirement: you should be able to return to the initial phase by taking one of the infinitely many future states, deleting a number of outputs and translating the spaceship back, without modifying either gun's or spaceship's phase.)
On this topic, can a glider be reflected 180-degrees at the rear end of one or more copies of 58P5H1V1 as an "elementary conduit"? To my surprise
c/5 diagonal rake on LifeWiki does not contain a simple option apart from the one-time turner boat.