OFFSET
1,2
COMMENTS
This graph is like a tesseract with the inner cube taken as a square. The graph has genus one.
FORMULA
1->{2, 4, 5, 9}; 2->{1, 3, 6, 10}; 3-> {2, 4, 7, 10}; 4->{1, 3, 8, 12}; 5-> {1, 6, 8, 9}; 6->{2, 5, 7, 10}; 7-> {3, 6, 8, 11}; 8-> {4, 5, 7, 12}; 9-> {1, 5, 10, 12}; 10-> {2, 6, 9, 11}; 11-> {3, 7, 10, 12}; 12-> {4, 8, 9, 11};
MATHEMATICA
Clear[s, p] s[1] = {2, 4, 5, 9}; s[2] = {1, 3, 6, 10}; s[3] = {2, 4, 7, 10}; s[4] = {1, 3, 8, 12}; s[5] = {1, 6, 8, 9}; s[6] = {2, 5, 7, 10}; s[7] = {3, 6, 8, 11}; s[8] = {4, 5, 7, 12}; s[9] = {1, 5, 10, 12}; s[10] = {2, 6, 9, 11}; s[11] = {3, 7, 10, 12}; s[12] = {4, 8, 9, 11}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[4]
CROSSREFS
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, Oct 17 2007
STATUS
approved