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 A385270 #13 Jun 26 2025 01:17:13 %S A385270 1,1,2,8,48,362,3530,37861,431383,5059338,60577228,736054522, %T A385270 9050344941,112374575115 %N A385270 Number of face-connected components of elongated dodecahedral cells in the elongated dodecahedral honeycomb up to translation, rotation, and reflection of the honeycomb. %C A385270 These are "free polyforms" because they are counted up to rotation and reflection. %C A385270 The symmetry group of the elongated dodecahedron is D_4h, which is prismatic symmetry of order 16. %H A385270 Peter Kagey, <a href="/A385270/a385270.gif">Animation illustrating the a(4)=48 connected 4-cell components</a>. %H A385270 Wikipedia, <a href="https://en.wikipedia.org/wiki/Elongated_dodecahedron">Elongated dodecahedron</a> %H A385270 Wikipedia, <a href="https://en.wikipedia.org/wiki/Parallelohedron">Parallelohedron</a> %Y A385270 Cf. A038119 (cubic), A038173 (rhombic dodecahedral), A038181 (truncated octahedral), A343909 (tetrahedral-octahedral), A365654 (square bipyramidal), A384254 (rectified cubic), A384274 (quarter cubic), A384754 (omnitruncated cubic), A385024 (tetragonal disphenoidal), A385025 (gyrobifastigium), A385026 (hexagonal prismatic), A385027 (triakis truncated tetrahedral), A385267 (half pyramidille), A385268 (oblate cubille), A385269 (quarter cubille), A385270 (elongated dodecahedral), A385271 (hexakis cubic), A385272 (phyllic disphenoidal), A385273 (quarter oblate octahedrille), A385274 (rhombic pyramidal), A385275 (square quarter pyramidille), A385276 (trapezo-rhombic dodecahedral), A385277 (triangular prismatic). %K A385270 nonn,hard,more %O A385270 0,3 %A A385270 _Peter Kagey_ and _Bert Dobbelaere_, Jun 23 2025