|
Search: id:A133302
|
|
|
| A133302 |
|
12 vertex cube torus graph substitution (to produce 12 note sequences). |
|
+0
1
|
|
| 1, 3, 6, 10, 1, 3, 8, 12, 1, 6, 8, 9, 1, 5, 10, 12, 1, 3, 6, 10, 1, 3, 8, 12, 3, 6, 8, 11, 2, 6, 9, 11, 1, 3, 6, 10, 1, 6, 8, 9, 3, 6, 8, 11, 2, 6, 9, 11, 1, 3, 6, 10, 2, 5, 7, 10, 1, 5, 10, 12, 3, 7, 10, 12, 1, 3, 6, 10, 1, 3, 8, 12, 1, 6, 8, 9, 1, 5, 10, 12, 1, 3, 6, 10, 1, 3, 8, 12, 3, 6, 8, 11, 2
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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
|
Sequence in context: A104618 A104616 A104614 this_sequence A104615 A120028 A065234
Adjacent sequences: A133299 A133300 A133301 this_sequence A133303 A133304 A133305
|
|
KEYWORD
|
nonn,uned
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 17 2007
|
|
|
Search completed in 0.002 seconds
|
