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Search: id:A133452
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| A133452 |
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Graph substitution of two octahedra inside an icosahedron connected at p=1: disconnected at p=0 ( concept similar to two tetrahedra inside a cube). |
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1
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| 3, 5, 7, 10, 1, 3, 10, 12, 1, 3, 10, 12, 1, 5, 7, 12, 3, 5, 7, 10, 1, 5, 7, 10, 1, 5, 7, 12, 3, 5, 7, 10, 3, 5, 7, 10, 1, 5, 7, 10, 1, 5, 7, 12, 3, 5, 7, 10, 3, 5, 7, 10, 1, 3, 10, 12, 1, 3, 10, 12, 3, 5, 7, 10, 4, 6, 8, 11, 2, 4, 9, 11, 2, 4, 9, 11, 4, 6, 8, 11, 4, 6, 8, 11, 2, 6, 8, 9, 4, 6, 8, 11, 2
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The four tone chords have a more pleasant sound that the connected 5 tone chords.
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FORMULA
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p=0: 1->{2*p, 3, 5, 7, 10}; 2->{1*p, 4, 6, 8, 11}; 3->{1, 4*p, 5, 7, 10}; 4->{2, 3*p, 6, 8, 9}; 5->{1, 3, 6*p, 10, 12}; 6->{2, 4, 5*p, 9, 11}; 7->{1, 3, 8*p, 10, 12}; 8->{2, 4, 7*p, 9, 11}; 9->{4, 6, 8, 11, 12*p}; 10->{1, 5, 7, 11*p, 12}; 11->{2, 6, 8, 9, 10*p}; 12->{3, 5, 7, 9*p, 10};
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MATHEMATICA
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(*TessOctahedron embedded in icosahedron : p = 0 *) Clear[s] s[1] = {3, 5, 7, 10}; s[2] = {4, 6, 8, 11}; s[3] = {1, 5, 7, 10}; s[4] = {2, 6, 8, 9}; s[5] = {1, 3, 10, 12}; s[6] = {2, 4, 9, 11}; s[7] = {1, 3, 10, 12}; s[8] = {2, 4, 9, 11}; s[9] = {4, 6, 8, 11}; s[10] = {1, 5, 7, 12}; s[11] = {2, 6, 8, 9}; s[12] = {3, 5, 7, 10}; t[a_] := Flatten[s /@ a]; p[0] = {1, 2}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[3]
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CROSSREFS
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Cf. A132725.
Sequence in context: A068061 A062887 A062886 this_sequence A140607 A071561 A138968
Adjacent sequences: A133449 A133450 A133451 this_sequence A133453 A133454 A133455
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 27 2007
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