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 A384108 #13 May 24 2025 14:47:24 %S A384108 1,2,2,7,25,92,380,1466,5418,17823,52118,132555,294285,566632,950083, %T A384108 1384788,1760028,1948075,1881390,1581334,1157179,733548,402440,189297, %U A384108 76312,25916,7481,1767,370,61,12,2,1 %N A384108 Number of connected components of n faces of the truncated dodecahedron up to the 120 rotations and reflections of the truncated dodecahedron. %C A384108 Two faces are connected if they share an edge. %C A384108 These are "free" polyforms because both rotations and reflections are allowed. %C A384108 The truncated dodecahedron is the polyhedral dual of the triakis icosahedron. %H A384108 Peter Kagey, <a href="/A384108/a384108.pdf">Illustration of a(1)-a(3)</a>. %H A384108 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_dodecahedron">Truncated dodecahedron</a> %e A384108 a(1) = 2 because the truncated dodecahedron is not face transitive, but has two distinct orbits of faces: (1) triangles and (2) decagons. %Y A384108 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 A384108 nonn,fini,full %O A384108 0,2 %A A384108 _Peter Kagey_, May 20 2025 %E A384108 a(10)-a(32) from _Bert Dobbelaere_, May 24 2025