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A133442
A geometrical graph substitution of a tess-tetrahedron embedded in a cube as an eight-"tone" all-naturals musical scale such that here the connections can be cut to isolate the tetrahedra.
0
3, 6, 8, 1, 3, 8, 1, 3, 6, 3, 6, 8, 1, 6, 8, 1, 3, 6, 3, 6, 8, 1, 6, 8, 1, 3, 8, 4, 5, 7, 2, 4, 7, 2, 4, 5, 4, 5, 7, 2, 5, 7, 2, 4, 5, 4, 5, 7, 2, 5, 7, 2, 4, 7
OFFSET
1,1
COMMENTS
There is a definite difference in the music that the isolated tetrahedra gives compared to the connected ones.
FORMULA
p=0 such that: 1 -> {p*2, 3, 6, 8} 2 -> {p, 4, 5, 7} 3 -> {1, p*4, 6, 8} 4 -> {2, p*3, 5, 7} 5 -> {2, 4, p*6, 7} 6 -> {1, 3, p*5, 8} 7 -> {2, 4, 5, p*8} 8 -> {1, 3, 6, p*7}
MATHEMATICA
s[1] = {3, 6, 8};
s[2] = {4, 5, 7};
s[3] = {1, 6, 8};
s[4] = {2, 5, 7};
s[5] = {2, 4, 7};
s[6] = {1, 3, 8};
s[7] = {2, 4, 5};
s[8] = {1, 3, 6};
t[a_] := Flatten[s /@ a];
p[0] = {1, 2}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]];
p[3]
CROSSREFS
Sequence in context: A256372 A330890 A337404 * A133193 A200131 A298907
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, Nov 26 2007
STATUS
approved