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 A384067 #20 May 20 2025 15:03:45 %S A384067 1,2,1,3,5,11,19,36,50,48,34,15,7,2,1 %N A384067 Number of edge-connected components of n faces of the cuboctahedron up to the 48 rotations and reflections of the cuboctahedron. %C A384067 Two faces are connected if they share an edge. %C A384067 These are "free" polyforms because both rotations and reflections are allowed. %C A384067 The cuboctahedron is the polyhedral dual of the rhombic dodecahedron. %H A384067 Peter Kagey, <a href="/A384067/a384067.pdf">Illustration of a(2)-a(4)</a>. %H A384067 Wikipedia, <a href="https://en.wikipedia.org/wiki/Cuboctahedron">Cuboctahedron</a> %e A384067 a(1) = 2 because the cuboctahedron is not face-transitive, but has two distinct types of faces: triangular faces and square faces. %Y A384067 Cf. A333333 (rhombic dodecahedron, row 3). %Y A384067 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (truncated cuboctahedron), A384072 (snub cube). %K A384067 nonn,fini,full %O A384067 0,2 %A A384067 _Peter Kagey_, May 18 2025