A384274 - OEIS

%I #16 Jun 12 2025 14:07:12

%S 1,2,2,5,20,96,581,4079,31079,247169,2018826,16771564,141113504,

%T 1199154541,10274686867

%N Number of connected components of polyhedra in the quarter cubic honeycomb up to translation, rotation, and reflection of the honeycomb.

%H Peter Kagey, <a href="/A384274/a384274.pdf">Illustration of a(4) = 20</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Quarter_cubic_honeycomb">Quarter cubic honeycomb</a>

%Y Cf. A038119 (cubic honeycomb), A038181 (bitruncated cubic honeycomb), A343909 (tetrahedral-octahedral honeycomb), A384254 (rectified cubic honeycomb).

%Y Cf. A384486.

%K nonn

%O 0,2

%A _Peter Kagey_, May 24 2025

%E a(9)-a(14) from _Bert Dobbelaere_, Jun 12 2025