A385027 Number of face-connected components of triakis truncated tetrahedral cells in the triakis truncated tetrahedral honeycomb up to translation, rotation, and reflection of the honeycomb.

1, 2, 8, 71, 793, 11486, 177746, 2876127, 47667178, 804571359, 13773260905

Offset: 1

Author

Peter Kagey and Bert Dobbelaere, Jun 15 2025

Keywords

• nonn
• hard
• more

Comments

According to Wikipedia, the triakis truncated tetrahedral honeycomb "is the Voronoi tessellation of the carbon atoms in diamond."

Links

• Peter Kagey, Animation illustrating a(3)=8.
• Wikipedia, Triakis truncated tetrahedral honeycomb

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).