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.
%I A384107 #14 May 24 2025 14:46:56 %S A384107 1,2,1,3,7,18,49,140,400,1173,3398,9647,26437,67979,159964,334197, %T A384107 602603,910750,1134215,1153652,963091,664159,382949,185074,75612, %U A384107 25829,7472,1766,370,61,12,2,1 %N A384107 Number of connected components of n faces of the icosidodecahedron up to the 120 rotations and reflections of the icosidodecahedron. %C A384107 Two faces are connected if they share an edge. %C A384107 These are "free" polyforms because both rotations and reflections are allowed. %C A384107 The icosidodecahedron is the polyhedral dual of the rhombic triacontahedron. %H A384107 Peter Kagey, <a href="/A384107/a384107.pdf">Illustration of a(1)-a(4)</a>. %H A384107 Wikipedia, <a href="https://en.wikipedia.org/wiki/Icosidodecahedron">Icosidodecahedron</a> %e A384107 a(1) = 2 because the icosidodecahedron is not face transitive, but has two distinct orbits of faces: (1) triangles and (2) pentagons. %Y A384107 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 A384107 nonn,fini,full %O A384107 0,2 %A A384107 _Peter Kagey_, May 20 2025 %E A384107 a(12)-a(32) from _Bert Dobbelaere_, May 24 2025