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A133302 12 vertex cube torus graph substitution (to produce 12 note sequences). 0

%I #2 Mar 30 2012 17:34:22

%S 1,3,6,10,1,3,8,12,1,6,8,9,1,5,10,12,1,3,6,10,1,3,8,12,3,6,8,11,2,6,9,

%T 11,1,3,6,10,1,6,8,9,3,6,8,11,2,6,9,11,1,3,6,10,2,5,7,10,1,5,10,12,3,

%U 7,10,12,1,3,6,10,1,3,8,12,1,6,8,9,1,5,10,12,1,3,6,10,1,3,8,12,3,6,8,11,2

%N 12 vertex cube torus graph substitution (to produce 12 note sequences).

%C This graph is like a tesseract with the inner cube taken as a square. The graph has genus one.

%F 1->{2, 4, 5, 9}; 2->{1, 3, 6, 10}; 3-> {2, 4, 7, 10}; 4->{1, 3, 8, 12}; 5-> {1, 6, 8, 9}; 6->{2, 5, 7, 10}; 7-> {3, 6, 8, 11}; 8-> {4, 5, 7, 12}; 9-> {1, 5, 10, 12}; 10-> {2, 6, 9, 11}; 11-> {3, 7, 10, 12}; 12-> {4, 8, 9, 11};

%t Clear[s, p] s[1] = {2, 4, 5, 9}; s[2] = {1, 3, 6, 10}; s[3] = {2, 4, 7, 10}; s[4] = {1, 3, 8, 12}; s[5] = {1, 6, 8, 9}; s[6] = {2, 5, 7, 10}; s[7] = {3, 6, 8, 11}; s[8] = {4, 5, 7, 12}; s[9] = {1, 5, 10, 12}; s[10] = {2, 6, 9, 11}; s[11] = {3, 7, 10, 12}; s[12] = {4, 8, 9, 11}; 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 17 2007

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)