B24/S013 and B24/S13
Posted: August 18th, 2020, 7:17 pm
I was interested in attempting to find a c/1 photon in B24/S013. Here's what I do know:
For reference, here is the known spaceship in B24/S13 (Jason Summers, 1999), plus a smaller one I found with LLS. The latter might actually be the smallest by bounding box.
- It is too wide to find using gfind.
- The narrowest rear-end partial has the following form, which can be turned into a tagalong:
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x = 20, y = 19, rule = B24/S013 7bo4bo$5bob2o2b2obo$4b2obob2obob2o$6bo6bo$6b2o4b2o$5bo8bo$6bob4obo$7bo 4bo$5b2obo2bob2o$3bobobo4bobobo$bob2o10b2obo$2obob4o2b4obob2o$2bo6b2o 6bo$2b2o3bo4bo3b2o$bo4b2o4b2o4bo$2bob2obo4bob2obo$3bo4bo2bo4bo$5b3o4b 3o$4bo10bo! - There are 41 distinct front-end partials with width 36 and length 23. All are asymmetric.
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x = 36, y = 22, rule = B24/S013 17b2o$14b2ob2ob2o$13bo2bo2bo2bo$12bo10bo$10b3o10b3o$9bo2bo10bo2bo$10bo 3b2o4b2o3bo$10b2ob2o6b2ob2o$7b2o4bo8bo4b2o$6bo2b2o14b2o2bo$7bobo16bobo $4b3o14b2o6b3o$3bo4b4o6b2ob2ob4o4bo$4bob2o4bo4bo2bo2bo4b2obo$4b2o7bo2b o13b2o$4bobo6b4o12bobo$4bo2bo5bo2bo11bo2bo$3b2ob2ob2o2bo2bo9b3o3b2o$ 10b3o2b2o8bo2bo3bo$2bo2b2o2bo2bo2bob2o7bobo3bobo$bobob2obo3bo2bo3bo3b 3o3b2o2bobo$o3bo2bo2bo2b2o3bo5bob2o3b2obo! - It may actually be easier to find an asymmetric ship.
- It can contain no dots, since a dot would fill the spot behind it.
For reference, here is the known spaceship in B24/S13 (Jason Summers, 1999), plus a smaller one I found with LLS. The latter might actually be the smallest by bounding box.
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x = 91, y = 45, rule = B24/S13
81b2o$16b2o4b2o4b2o50bo2bo$13b2ob2ob2ob2ob2ob2ob2o39b2o5bo4bo$12bo2bo
2bo2bo2bo2bo2bo2bo37bo2bo5b4o$11bo22bo35bo4bo2bo6bo$9b3o22b3o30b2ob2ob
o2bobo2bob2obo$8bo2bo22bo2bo28bo2bobo3b2ob2obo2bob3o$9bo3b2o16b2o3bo
28bo5bobo4bobo5bo2bo$9b2ob2o18b2ob2o26b3o6bob2o4bo7bo$6b2o4bo20bo4b2o
22bo2bo6bobo6b2o2bob2o$5bo2b2o26b2o2bo22bo3b2o2b2o8bo5bob2o$6bobo28bob
o23b2ob2o10b2o9bo$3b3o34b3o17b2o4bo5b3o4b2obo$2bo4b4o24b4o4bo15bo2b2o
9bo6bo$3bob2o4bo22bo4b2obo17bobo6b2obobob2obobobo$3b2o7bo3b2o4b2o4b2o
3bo7b2o14b3o8bo2b2ob2o2b2ob2obo$3bo3bo4b3ob2ob2ob2ob2ob2ob3o4bo3bo13bo
4b4o2bo4bobo4bobo3bo$2o10bo2bo2bo2bo2bo2bo2bo2bo10b2o11bob2o4bob2obobo
8bob2o$b2obo7bo20bo7bob2o12b2o7bobo4bobo6bo3bo$2bo8b2o20b2o8bo13bo3bo
4bo5b2o8bob2obo$14b2o14b2o22b2o8b2o13b2o2bo4bo$10bo2b2o16b2o2bo19b2obo
6bo7b3o4b2o4b2o$9bobobo18bobobo19bo10b2o5bo6bo5bo$10bo24bo28bob2o7bob
2obob2o5b2o$8bo3b4o14b4o3bo28bo8b2o2b2obo3bob2o$7bob3o4bo12bo4b3obo36b
o4bo7bo$6bo10bo10bo10bo32b2o$7b2o3bo4b3o2b2o2b3o4bo3b2o34b2obo$7bo9bo
2bob2obo2bo9bo35bo$4b2o11bo3bo2bo3bo11b2o$5b2obo6b2o2bo6bo2b2o6bob2o$
6bo9bo2bo6bo2bo9bo$18b2o6b2o$18bob2o2b2obo$18bobo4bobo$17b2o8b2o2$18b
3o4b3o$19bo6bo$20bob2obo$20b2o2b2o$20bo4bo$17b2o8b2o$18b2obo2bob2o$19b
o6bo!