See also Honeycomb (geometry), Regular honeycomb, Regular tiling, Tessellation, https://en.wikipedia.org/wiki/Category:Regular_tilings .
In two-dimensions, honeycombs are called tilings or tessellations.
By dimensions 2 thru 8, the only regular honeycombs are:
2-D:
3-D:
4-D:
5-D:
6-D:
7-D:
8-D:
(see also https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#Euclidean_tilings , https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#Three_dimensions_(4-apeirotopes) , https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#Tessellations_of_Euclidean_4-space , https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds#Tessellations_of_Euclidean_5-space , https://en.wikipedia.org/wiki/Euclidean_tilings_by_convex_regular_polygons )