In seven-dimensional Euclidean geometry, the quarter 8-cubic honeycomb is a uniform space-filling tessellation (or honeycomb). It has half the vertices of the 8-demicubic honeycomb, and a quarter of the vertices of a 8-cube honeycomb. Its facets are 8-demicubes h{4,3<sup>6</sup>}, pentic 8-cubes h<sub>6</sub>{4,3<sup>6</sup>}, {3,3}ÃÂ{3<sup>2,1,1</sup>} and {3<sup>1,1,1</sup>}ÃÂ{3<sup>1,1,1</sup>} duoprisms.
Regular and uniform honeycombs in 8-space: