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 A384070 #19 May 22 2025 16:57:13 %S A384070 1,3,2,6,11,32,72,207,530,1434,3575,8475,17814,32643,49583,60964, %T A384070 58922,44513,26397,12494,4791,1493,390,83,17,3,1 %N A384070 Number of connected components of n faces of the rhombicuboctahedron up to the 48 rotations and reflections of the rhombicuboctahedron. %C A384070 Two faces are connected if they share an edge. %C A384070 These are "free" polyforms because both rotations and reflections are allowed. %C A384070 The rhombicuboctahedron is the polyhedral dual of the deltoidal icositetrahedron. %H A384070 Peter Kagey, <a href="/A384070/a384070.pdf">Illustration of a(1)-a(3)</a>. %H A384070 Wikipedia, <a href="https://en.wikipedia.org/wiki/Rhombicuboctahedron">Rhombicuboctahedron</a> %e A384070 a(1) = 3 because the rhombicuboctahedron is not face-transitive but has three distinct types of faces: triangular faces, square faces that are connected to a triangular face, and square faces that are not connected to a triangular face. %Y A384070 Cf. A383804 (deltoidal icositetrahedron). %Y A384070 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (truncated cuboctahedron), A384072 (snub cube). %K A384070 nonn,fini,full %O A384070 0,2 %A A384070 _Peter Kagey_, May 18 2025 %E A384070 a(14)-a(26) from _Bert Dobbelaere_, May 22 2025