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 A384071 #19 May 22 2025 16:57:17 %S A384071 1,3,3,11,28,100,319,1114,3538,10313,25470,52474,88257,121329,136282, %T A384071 125885,95956,60675,31943,14009,5123,1549,398,84,17,3,1 %N A384071 Number of connected components of n faces of the truncated cuboctahedron up to the 48 rotations and reflections of the truncated cuboctahedron. %C A384071 Two faces are connected if they share an edge. %C A384071 These are "free" polyforms because both rotations and reflections are allowed. %C A384071 The truncated cuboctahedron is the polyhedral dual of the disdyakis dodecahedron. %H A384071 Peter Kagey, <a href="/A384071/a384071.pdf">Illustration of a(1)-a(3)</a>. %H A384071 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_cuboctahedron">Truncated cuboctahedron</a> %e A384071 a(1) = 3 because the truncated cuboctahedron is not face-transitive but has three distinct types of faces: square faces, hexagonal faces, and octagonal faces. %Y A384071 Cf. A383806 (disdyakis dodecahedron). %Y A384071 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (truncated cuboctahedron), A384072 (snub cube). %K A384071 nonn,fini,full %O A384071 0,2 %A A384071 _Peter Kagey_, May 18 2025 %E A384071 a(12)-a(26) from _Bert Dobbelaere_, May 22 2025