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Search: id:A105932
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| A105932 |
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An eight-symbol substitution on an hypertetrahedron with four symbol connection per vertex. |
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+0
2
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| 1, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 1, 2, 3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 2, 3, 4, 5, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 1, 3, 4, 6, 1, 2, 4, 7, 1, 2, 3, 8, 1, 6, 7, 8, 2, 3, 4, 5, 1, 2, 4, 7, 1, 2, 3, 8, 2
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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This flow can be visualized in 3d by using a cube's vertices as the substitution for the eight points.
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FORMULA
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1->{2, 3, 4, 5}, 2->{1, 3, 4, 6}, 3->{1, 2, 4, 7}, 4->{1, 2, 3, 8}, 5->{1, 6, 7, 8}, 6->{2, 5, 7, 8}, 7->{3, 5, 6, 8}, 8->{4, 5, 6, 7}
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MATHEMATICA
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s[1]={2, 3, 4, 5}; s[2]={1, 3, 4, 6}; s[3]={1, 2, 4, 7}; s[4]={1, 2, 3, 8}; s[5]={1, 6, 7, 8}; s[6]={2, 5, 7, 8}; s[7]={3, 5, 6, 8}; s[8]={4, 5, 6, 7}; t[a_] := Join[a, Flatten[s/@a]]; p[0]={1}; p[1]=t[{1}]; p[n_]:=t[p[n-1]] a=Flatten[Table[p[n], {n, 0, 3}]]
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CROSSREFS
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Adjacent sequences: A105929 A105930 A105931 this_sequence A105933 A105934 A105935
Sequence in context: A117724 A053841 A010884 this_sequence A106652 A053827 A033926
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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), Apr 26 2005
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