OFFSET
1,1
COMMENTS
LINKS
Scott R. Shannon, Image showing the 319416 different k-faced polyhedra for 4 adjacent cubes. The 4-, 5-, 6-, 7-, 8-, and 9-faced polyhedra are colored red, orange, yellow, green, blue, indigo respectively. The 10-, 11-, and 12-faced polyhedra, which are not visible on the surface and are shown together, are colored violet, white, black.
FORMULA
Sum of row n = A347753(n)
EXAMPLE
The single cube, row 1, is internally cut with 14 planes which creates seventy-two 4-faced polyhedra and twenty-four 5-faced polyhedra. See also A333539.
The table begins:
72, 24;
1472, 912, 416, 128, 32, 0, 8;
16192, 14952, 6832, 2816, 1288, 184, 80, 32, 8;
118800, 112904, 55088, 21064, 8920, 1560, 736, 232, 112;
CROSSREFS
KEYWORD
nonn,more,tabf
AUTHOR
Scott R. Shannon, Sep 19 2021
STATUS
approved