I created
a modified version of qfind to generate a finite (but non-minimal) list of ships that can be used to construct all orthogonal ships of a specified period, translation, logical width, and symmetry type. This is fairly inelegant, and can really only be used when there are very few spaceships at the given width. I strongly discourage people from using this program, as it is generally slower than ordinary qfind and produces a large number of duplicate spaceships.
I used this program to confirm some facts that I
long suspected were true. The following are searches completed with this program, where the width given is the total width, rather than the logical width:
2c/7 even width-20: 1 ship (weekender)
4c/8 even width-18: 0 period-8 ships
4c/8 gutter width-17: 0 period-8 ships
3c/9 odd width-15: 0 period-9 ships
3c/9 even width-14: 0 period-9 ships
3c/9 gutter width-17: 0 period-9 ships
c/10 even width-12: infinitely many ships (4-ship basis: copperhead, fireship, copperhead on fireship, cottonmouth)
4c/10 gutter width-15: 0 period-10 ships
I also double-checked a number of results achieved previously (mostly by Tim Coe):
2c/4 asymmetric width-10: 3 ships (LWSS, MWSS, HWSS)
2c/4 odd width-15: 6 ships excluding non-interacting *WSSs (MWSS on MWSS, HWSS on HWSS, x66, 3 hivenudger variants)
2c/4 even width-18: 0 ships excluding non-interacting *WSSs
2c/4 gutter width-17: 3 ships excluding non-interacting *WSSs (MWSS on MWSS, HWSS on HWSS, x66)
2c/6 odd width-15: 0 period-6 ships
2c/6 even width-16: 0 period-6 ships
2c/6 gutter width-17: 0 period-6 ships
2c/8 asymmetric width-8: 0 period-8 ships
2c/8 odd width-13: 0 period-8 ships
2c/8 even width-16: 0 period-8 ships
2c/8 gutter width-15: 0 ships
4c/8 asymmetric width-10: 0 period-8 ships
4c/8 odd width-15: 0 period-8 ships
4c/10 asymmetric width-8: 0 ships
4c/10 odd width-13: 0 ships
4c/10 even width-16: 0 ships
I intend to keep running what I think are the remaining reasonably quick searches over the next few days or weeks. I'll edit this post with any new results.
I'm also running the full-width-22 symmetric 2c/7 search to see if the weekender is really the only such ship.
Edit: I forgot to post this when I ran it a year ago: I completed a width-21 2c/7 odd-symmetric qfind v1.1 search. No ships were found.
Edit (March 15, 2021):
4c/10 gutter width-19: 0 period-10 ships
Edit (March 16, 2021):
4c/10 odd width-15: 3 period-10 ships (previously posted
here and
here)
2c/8 asymmetric width-9: 0 ships
3c/6 asymmetric width-10: 0 ships
3c/6 odd width-19: 0 ships
3c/6 even width-20: 0 ships
5c/10 asymmetric width-10: 0 ships
5c/10 odd width-19: 0 ships
5c/10 even width-20: 0 ships
Edit (March 17, 2021):
4c/8 glide-symmetric width-18: 0 period-8 ships (checked with Nicolay Beluchenko's version of WLS)
Edit (March 18, 2021): unrelated to any searches I've been running, here is a "new" combination of known 2c/7 components:
Code: Select all
x = 24, y = 80, rule = B3/S23
bo12bo$bo12bo$obo10bobo$bo12bo$bo12bo4bo$2bo3b4o3bo4bobo$6b4o7bo2b2o$
2b4o4b4o3b2o$17b2o$4bo6bo5b2o$5b2o2b2o10bo$19b3o$18bob2o$17b3o$17b3o3$
17bo$15b2o$16bo2bo$17b3o$17bo2bo$19bo$17bobo$16bobobo$14b3obobo2$14b2o
$13bobobo$13bobo2b2o$17b3o2$14b3o$12b2o$12b3o3bo$12b2o2bobo$13bo3bo3b
2o$13bo5b2o2bo$18bo3bo$18bo2b2o$18bo2b2o$18b2o2bo$21bo$20b2obo$14bo$
14bo$13bobo3b3o$9bo4bo$7b2obo3bo3b2o$7b2o2bo6b2o$9bo2bo4bobo$9bo2bo7bo
$10b2o6b4o$7bob2o11bo$6bo2bo8b2ob2o$7bo3bo2$9bobo$10bo2$8bo$7b3o$7b2o
2bo$8b2ob2o$9bo2bo$11b2o$9bob2o$8bobobo$7b2o$8bo$6b3o$5bobo2bo$11bo$9b
obo$7b4o$5b3o$4bo$3bo2bo2bo$10bo$5b2o2bo!