Editing Convex uniform honeycomb (section)

=== Names ===
This set can be called the '''regular and semiregular honeycombs'''. It has been called the '''Archimedean honeycombs''' by analogy with the convex uniform (non-regular) polyhedra, commonly called [[Archimedean solid]]s. Recently [[John Horton Conway|Conway]] has suggested naming the set as the '''Architectonic tessellations''' and the dual honeycombs as the '''[[Catoptric tessellation]]s'''.

The individual honeycombs are listed with names given to them by [[Norman Johnson (mathematician)|Norman Johnson]]. (Some of the terms used below are defined in [[Uniform 4-polytope#Geometric derivations for 46 nonprismatic Wythoffian uniform 4-polytopes]])

For cross-referencing, they are given with list indices from '''A'''ndreini (1-22), '''W'''illiams(1–2,9-19), '''J'''ohnson (11–19, 21–25, 31–34, 41–49, 51–52, 61–65), and '''G'''rünbaum(1-28). Coxeter uses &delta;<sub>4</sub> for a [[cubic honeycomb]], h&delta;<sub>4</sub> for an [[alternated cubic honeycomb]], q&delta;<sub>4</sub> for a [[quarter cubic honeycomb]], with subscripts for other forms based on the ring patterns of the Coxeter diagram.