A133452 - OEIS

%I #2 Mar 30 2012 17:34:22

%S 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,

%T 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,

%U 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

%N Graph substitution of two octahedra inside an icosahedron connected at p=1: disconnected at p=0 ( concept similar to two tetrahedra inside a cube).

%C The four tone chords have a more pleasant sound that the connected 5 tone chords.

%F 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};

%t (*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]

%Y Cf. A132725.

%K nonn,uned

%O 1,1

%A _Roger L. Bagula_, Nov 27 2007