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Search: id:A133329
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| A133329 |
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85 prism graph substitution ( of twelve tone type): a square connected to an octagon to give a figure with a C4 rotational axis. |
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+0
1
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| 1, 3, 6, 7, 1, 3, 10, 11, 6, 12, 1, 5, 11, 2, 1, 3, 6, 7, 1, 3, 10, 11, 7, 9, 3, 8, 10, 3, 6, 12, 1, 6, 8, 2, 1, 3, 6, 7, 5, 7, 2, 7, 9, 3, 1, 3, 6, 7, 1, 3, 6, 7, 1, 3, 10, 11, 6, 12, 1, 5, 11, 2, 1, 3, 6, 7, 1, 3, 10, 11, 7, 9, 3, 8, 10, 3, 8, 10, 3, 10, 12, 4, 1, 3, 10, 11, 9, 11, 4, 5, 11, 2, 1, 3
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The sequence of the 12 vertex prisms I have done is: {6,6}->{7,5}->{8,4}
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FORMULA
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1-> {2, 4, 5, 12}; 2-> {1, 3, 6, 7}; 3-> {2, 4,8, 9}; 4->{1, 3, 10, 11}; 5->{6, 12, 1}; 6->{5, 7, 2}; 7->{6, 8, 2}; 8->{7, 9, 3}; 9->{8, 10, 3}; 10->{9, 11, 4}; 11->{10, 12, 4}; 12->{5, 11, 2};
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MATHEMATICA
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Clear[s] s[1] = {2, 4, 5, 12}; s[2] = {1, 3, 6, 7}; s[3] = {2, 4, 8, 9}; s[4] = {1, 3, 10, 11}; s[5] = {6, 12, 1}; s[6] = {5, 7, 2}; s[7] = {6, 8, 2}; s[8] = {7, 9, 3}; s[9] = {8, 10, 3}; s[10] = {9, 11, 4}; s[11] = {10, 12, 4}; s[12] = {5, 11, 2}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[4]
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CROSSREFS
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Sequence in context: A032338 A081814 A133340 this_sequence A080260 A065269 A137427
Adjacent sequences: A133326 A133327 A133328 this_sequence A133330 A133331 A133332
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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), Oct 18 2007
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