A133303 - OEIS

%I #4 Apr 05 2017 07:41:09

%S 2,3,4,5,7,1,3,4,6,11,1,2,4,6,9,2,3,4,5,12,7,9,11,12,2,2,3,4,5,7,1,3,

%T 4,6,11,1,3,5,6,8,2,3,4,5,12,7,8,10,12,3,2,3,4,5,7,1,3,4,6,11,1,2,4,6,

%U 9,2,3,4,5,12,7,9,11,12,4,2,3,4,5,7,1,3,5,6,10,1,3,5,6,8,2,3,4,5,12,7,8,10

%N 12 vertex analog of tesseract as connected octahedra graph substitution (to produce 12-note sequences).

%C This graph is like a tesseract with two connected octahedra: the idea was to get two figure with related symmetry that is 4D-like and see if they sound different. They do sound different.

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

%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,obsc

%O 1,1

%A _Roger L. Bagula_, Oct 17 2007