Birectified 16-cell honeycomb

In four-dimensional Euclidean geometry, the birectified 16-cell honeycomb (or runcic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.

There are 3 different symmetry constructions, all with 3-3 duoprism vertex figures. The ${\displaystyle {\tilde {B}}_{4}}$ symmetry doubles on ${\displaystyle {\tilde {D}}_{4}}$ in three possible ways, while ${\displaystyle {\tilde {F}}_{4}}$ contains the highest symmetry.

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