A385028 Number of face-connected components of polyhedral cells in the bisymmetric hendecahedral honeycomb up to translation, rotation, and reflection of the honeycomb.
1, 1, 4, 16, 116, 903, 8551
Offset: 0
Examples
For n = 2, the a(2) = 4 distinct compounds of two bisymmetric hendecahedra correspond to placing the four distinct types of faces (square, kite, rhombus, and triangle) together.
Links
- Peter Kagey, Illustration of the a(3)=16 components with three polyhedra.
- Wikipedia, Bisymmetric hendecahedron
- Jiangmei Wu and Guy Inchbald, Folding Space-Filling Bisymmetric Hendecahedron for a Large-Scale Art Installation, Bridges 2018 Conference Proceedings.
- Jiangmei Wu, Synergia (sculpture made from bisymmetric hendecahedra).
Crossrefs
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), A385278 (triangular pyramidille).
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