- This article is about geometry. For edge transitivity in graph theory, see edge-transitive graph.
In
geometry, a
polytope (for example, a
polygon or a
polyhedron), or a
tiling, is
isotoxal or
edge-transitive if its
symmetries act
transitively on its edges. Informally, this means that there is only one type of edge to the object: given two edges, there is a translation, rotation and/or reflection that will move one edge to the other, while leaving the region occupied by the object unchanged.