cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A384112 Number of connected components of n faces of the snub dodecahedron up to the 60 rotations of the snub dodecahedron.

This page as a plain text file.
%I A384112 #15 May 26 2025 05:50:47
%S A384112 1,3,3,6,19,51,157,465,1444,4492,14236,45097,143753,458400,1464997,
%T A384112 4682469,14970906,47834908,152721958,486927066,1549733096,4920704208,
%U A384112 15579074400
%N A384112 Number of connected components of n faces of the snub dodecahedron up to the 60 rotations of the snub dodecahedron.
%C A384112 Two faces are connected if they share an edge.
%C A384112 These are "one-sided" polyforms because rotations are allowed but reflections are not allowed.
%C A384112 The snub dodecahedron is the polyhedral dual of the pentagonal hexecontahedron.
%H A384112 Peter Kagey, <a href="/A384112/a384112.pdf">Illustration of a(1)-a(3)</a>.
%H A384112 Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_dodecahedron">Snub dodecahedron</a>.
%e A384112 a(1) = 3 because the snub dodecahedron is not face transitive, but has three distinct orbits of faces: (1) pentagons, (2) triangles that are connected to a pentagon, and (3) triangles that are not connected to a pentagon.
%Y A384112 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (cuboctahedron), A384072 (snub cube), A384104 (truncated tetrahedron), A384107 (icosidodecahedron), A384108 (truncated dodecahedron), A384109 (truncated icosahedron), A384110 (rhombicosidodecahedron), A384111 (truncated icosidodecahedron), A384112 (snub dodecahedron).
%K A384112 nonn,fini,more
%O A384112 0,2
%A A384112 _Peter Kagey_, May 20 2025
%E A384112 a(12)-a(22) from _Bert Dobbelaere_, May 26 2025