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 A384068 #15 May 21 2025 01:24:47 %S A384068 1,2,2,6,14,28,49,64,68,53,35,15,7,2,1 %N A384068 Number of connected components of n faces of the truncated cube up to the 48 rotations and reflections of the truncated cube. %C A384068 Two faces are connected if they share an edge. %C A384068 These are "free" polyforms because both rotations and reflections are allowed. %C A384068 The truncated cube is the polyhedral dual of the triakis octahedron. %H A384068 Peter Kagey, <a href="/A384068/a384068.pdf">Illustration of a(1)-a(3)</a>. %H A384068 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_cube">Truncated cube</a> %e A384068 a(1) = 2 because the truncated cube is not face-transitive but has two distinct types of faces: triangular faces and octagonal faces. %Y A384068 Cf. A383800 (triakis octahedron). %Y A384068 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (truncated cuboctahedron), A384072 (snub cube). %K A384068 nonn,fini,full %O A384068 0,2 %A A384068 _Peter Kagey_, May 18 2025