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%I #2 Mar 30 2012 17:34:22
%S 1,3,6,7,1,3,10,11,6,12,1,5,11,2,1,3,6,7,1,3,10,11,7,9,3,8,10,3,6,12,
%T 1,6,8,2,1,3,6,7,5,7,2,7,9,3,1,3,6,7,1,3,6,7,1,3,10,11,6,12,1,5,11,2,
%U 1,3,6,7,1,3,10,11,7,9,3,8,10,3,8,10,3,10,12,4,1,3,10,11,9,11,4,5,11,2,1,3
%N 85 prism graph substitution ( of twelve tone type): a square connected to an octagon to give a figure with a C4 rotational axis.
%C The sequence of the 12 vertex prisms I have done is: {6,6}->{7,5}->{8,4}
%F 1-> {2, 4, 5, 12}; 2-> {1, 3, 6, 7}; 3-> {2, 4,8, 9}; 4->{1, 3, 10, 11}; 5->{6, 12, 1}; 6->{5, 7, 2}; 7->{6, 8, 2}; 8->{7, 9, 3}; 9->{8, 10, 3}; 10->{9, 11, 4}; 11->{10, 12, 4}; 12->{5, 11, 2};
%t Clear[s] s[1] = {2, 4, 5, 12}; s[2] = {1, 3, 6, 7}; s[3] = {2,4, 8, 9}; s[4] = {1, 3, 10, 11}; s[5] = {6, 12, 1}; s[6] = {5, 7, 2}; s[7] = {6, 8, 2}; s[8] = {7, 9, 3}; s[9] = {8, 10, 3}; s[10] = {9, 11, 4}; s[11] = {10, 12, 4}; s[12] = {5, 11,2}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[4]
%K nonn,uned
%O 1,2
%A _Roger L. Bagula_, Oct 18 2007
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