A383496 - OEIS

A383496

Number of polyforms with n cells on the faces of a disdyakis triacontahedron up to rotation and reflection.

1, 1, 3, 3, 9, 14, 38, 74, 185, 414, 1025, 2430, 6012, 14640, 36294, 89531, 222452, 552015, 1374367, 3421955, 8535077, 21296556, 53184718, 132846918, 331913842, 829176301, 2071018243, 5170617085, 12902719975, 32176288808

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

These are "free" polyforms.

The disdyakis triacontahedron is the polyhedral dual of the truncated icosidodecahedron.

LINKS

Table of n, a(n) for n=0..29.

Peter Kagey, Illustration of first four terms of A383496.

Wikipedia, Disdyakis triacontahedron

CROSSREFS

Cf. A383497 (one-sided).

Cf. A030135 (dodecahedron), A030136 (icosahedron), A340635 (deltoidal hexecontahedron), A383490 (rhombic triacontahedron), A383492 (triakis icosahedron), A383494 (pentakis dodecahedron).

Cf. A197462 (kisrhombille tiling).

Sequence in context: A122847 A383827 A383806 * A197462 A264098 A223209

Adjacent sequences: A383493 A383494 A383495 * A383497 A383498 A383499

KEYWORD

nonn,more,fini

AUTHOR

Peter Kagey, Apr 28 2025

EXTENSIONS

a(14)-a(29) from Bert Dobbelaere, Jun 13 2025

STATUS

approved