Talk:Railway circuit
C24 solutions
A very interesting and challenging task. Could you perhaps post the 35 solutions for C24? (Maybe on the talk page). I'm getting 38 :-) Fwend (talk) 23:32, 4 April 2016 (UTC)
- Here are my solutions :
(gen 24) gen-counters (2574175 . 286) Number of circuits C24 : 35 0 #( 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1) 1 #( 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1) 2 #( 1 1 1 1 1 1 -1 1 -1 1 -1 1 1 1 1 1 1 1 -1 1 -1 1 -1 1) 3 #( 1 1 1 1 1 1 -1 1 -1 -1 1 1 1 1 1 1 1 1 -1 1 -1 -1 1 1) 4 #( 1 1 1 1 1 1 -1 1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 1 1 -1 1) 5 #( 1 1 1 1 1 1 -1 1 -1 -1 1 1 1 1 1 1 1 -1 1 1 -1 1 -1 1) 6 #( 1 1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 1 1 1 -1 -1 1 1 -1 1) 7 #( 1 1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 1 1 -1 1 1 -1 1 -1 1) 8 #( 1 1 1 1 1 1 -1 -1 1 -1 1 1 1 1 1 1 1 1 -1 -1 1 -1 1 1) 9 #( 1 1 1 1 1 1 -1 -1 1 -1 1 1 1 1 1 1 1 -1 1 1 -1 -1 1 1) 10 #( 1 1 1 1 1 1 -1 -1 1 -1 1 1 1 1 1 1 1 -1 1 -1 1 1 -1 1) 11 #( 1 1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 1 1 1 -1 -1 -1 1 1 1) 12 #( 1 1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 1 1 1 -1 1) 13 #( 1 1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 1 -1 1 1 1 -1 -1 1 1) 14 #( 1 1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 1 -1 1 1 -1 1 1 -1 1) 15 #( 1 1 1 1 1 -1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 1 -1 1 -1 1) 16 #( 1 1 1 1 1 -1 1 1 -1 -1 1 1 1 1 1 1 1 -1 1 1 -1 -1 1 1) 17 #( 1 1 1 1 1 -1 1 1 -1 -1 1 1 1 1 1 1 1 -1 1 -1 1 1 -1 1) 18 #( 1 1 1 1 1 -1 1 -1 1 1 -1 1 1 1 1 1 1 -1 1 -1 1 1 -1 1) 19 #( 1 1 1 1 1 -1 -1 1 1 1 -1 1 1 1 1 1 1 -1 -1 1 1 1 -1 1) 20 #( 1 1 1 1 1 -1 -1 1 1 1 -1 1 1 1 1 1 -1 1 1 1 -1 -1 1 1) 21 #( 1 1 1 1 1 -1 -1 1 1 1 -1 1 1 1 1 1 -1 1 1 -1 1 1 -1 1) 22 #( 1 1 1 1 -1 1 1 1 -1 1 -1 1 1 1 1 1 -1 1 1 1 -1 1 -1 1) 23 #( 1 1 1 1 -1 1 1 1 -1 -1 1 1 1 1 1 1 -1 1 1 1 -1 -1 1 1) 24 #( 1 1 1 1 -1 1 1 1 -1 -1 1 1 1 1 1 1 -1 1 1 -1 1 1 -1 1) 25 #( 1 1 1 1 -1 1 1 -1 1 1 -1 1 1 1 1 1 -1 1 1 -1 1 1 -1 1) 26 #( 1 1 1 1 -1 1 -1 1 1 1 -1 1 1 1 1 1 -1 1 -1 1 1 1 -1 1) 27 #( 1 1 1 1 -1 -1 1 1 1 1 -1 1 1 1 1 1 -1 -1 1 1 1 1 -1 1) 28 #( 1 1 1 1 -1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 -1 1 1 1 -1 1) 29 #( 1 1 1 -1 1 1 1 1 -1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 -1 1) 30 #( 1 1 1 -1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 1 1 1 -1 -1 1 1) 31 #( 1 1 1 -1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 1 1 -1 1 1 -1 1) 32 #( 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 -1 1) 33 #( 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 -1 1 1 1 -1 1) 34 #( 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1)
--G.Brougnard (talk) 08:33, 5 April 2016 (UTC)
- Thank you. I didn't have the two first ones, with the overlapping tracks. So now I do have 35 for C24 based on i + 6 symmetry. I've found 5 additional solutions, however, based on a 3-way symmetry of i + 4. They look valid to me, unless I've misunderstood the criteria:
1 1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 -1 1 1 -1 1 1 1 1 -1 1 1 -1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 1 1 1 1 1 -1 -1 1 1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 -1 1 1 1 1 1 -1 1 -1 1 1 1 1 1 -1 1 -1 1 1 1
