

A133303


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


0



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, 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, 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
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OFFSET

1,1


COMMENTS

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


LINKS



FORMULA

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};


MATHEMATICA

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]


CROSSREFS



KEYWORD

nonn,uned,obsc


AUTHOR



STATUS

approved



