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%I #4 Mar 30 2012 17:34:15
%S 1,4,5,6,2,2,3,3,1,2,3,4,4,4,4,5,5,5,5,4,5,6,4,4,5,5,2,2,2,2,2,2,2,2,
%T 3,3,3,3,3,3,3,3,2,2,3,3,1,2,3,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,
%U 4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,5,5,5,5,4,5,6,4,4,5,5,4
%N Six-symbol substitution based on doubling the Rauzy substitution : n=2 characteristic polynomial: x^6-9*x^4+24*x^2-16.
%C Triangular Form: {1}, {4, 5, 6}, {2, 2, 3, 3, 1, 2, 3}, {4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 6, 4, 4, 5, 5}, {2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3}
%D Curtis McMullen, Prym varieties and Teichmuller curves.
%F 1->{4.5.6}, 2->{4}*n, 3->{5}, 4->{2}, 5->{3}.n 6->{1, 2, 3}
%t n0=6 n=2 s[1] = {4, 5, 6}; s[2] = Table[If[i <= n, 4, {}], {i, 1, n0}]; s[3] = Table[If[i <= n, 5, {}], {i, 1, n0}]; s[4] = Table[If[i <= n, 2, {}], {i, 1, n0}]; s[5] = Table[If[i <= n, 3, {}], {i, 1, n0}]; s[6] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = Table[p[i], {i, 0, 4}]; MatrixForm[aa] aaa = Flatten[aa]
%K nonn,uned
%O 0,2
%A _Roger L. Bagula_, May 10 2005
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