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Search: id:A133339
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| A133339 |
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A twelve vertex {9,3} prism (nonagon connected to a triangle) graph substitution: fourth in the sequence: {6,6}->{7,5}->{8,3}->{9,3}. |
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1
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| 1, 3, 6, 7, 8, 1, 2, 9, 10, 11, 1, 5, 12, 1, 4, 6, 1, 4, 11, 2, 3, 4, 5, 12, 1, 3, 6, 7, 8, 3, 8, 10, 3, 9, 11, 3, 10, 12, 1, 3, 6, 7, 8, 1, 4, 6, 2, 6, 8, 1, 3, 6, 7, 8, 2, 5, 7, 2, 7, 9, 1, 3, 6, 7, 8, 2, 6, 8, 3, 8, 10, 1, 3, 6, 7, 8, 1, 2, 9, 10, 11, 1, 5, 12, 1, 4, 6, 1, 4, 11, 2, 3, 4, 5, 12, 1, 2, 9
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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As twelve tone sequences, this one has the vertue and sounding worse than most! Even with a nice C3 rotational axis it sound worse than the rest to my ears.
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FORMULA
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1-> {2, 3, 4, 5, 12}; 2->{1, 3, 6, 7, 8}; 3-> {1, 2,9, 10, 11}; 4->{1, 5, 12}; 5->{1, 4, 6}; 6-> {2, 5, 7}; 7-> {2, 6, 8}; 8-> {2, 7, 9}; 9-> {3, 8, 10}; 10-> {3, 9, 11}; 11-> {3, 10, 12}; 12-> {1, 4, 11};
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MATHEMATICA
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Clear[s] s[1] = {2, 3, 4, 5, 12}; s[2] = {1, 3, 6, 7, 8}; s[3] = {1, 2, 9, 10, 11}; s[4] = {1, 5, 12}; s[5] = {1, 4, 6}; s[6] = {2, 5, 7}; s[7] = {2, 6, 8}; s[8] = {2, 7, 9}; s[9] = {3, 8, 10}; s[10] = {3, 9, 11}; s[11] = {3, 10, 12}; s[12] = {1, 4, 11}; 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: A129023 A152083 A003458 this_sequence A112267 A068985 A081391
Adjacent sequences: A133336 A133337 A133338 this_sequence A133340 A133341 A133342
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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 19 2007
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