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A133302 12 vertex cube torus graph substitution (to produce 12 note sequences). 0
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..93.

FORMULA

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};

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

Sequence in context: A104618 A104616 A104614 * A104615 A194047 A194035

Adjacent sequences:  A133299 A133300 A133301 * A133303 A133304 A133305

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Oct 17 2007

STATUS

approved

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Last modified December 8 19:03 EST 2016. Contains 278948 sequences.