Semiregular

Although Lester must still see doctors on a semiregular basis for checkups, his health has returned to normal.

A space is semiregular iff the regularly open sets (3D) form a base for the topology.[…]Every space X can be embedded in a semiregular space.

It will be seen below that this semiregular polyhedron is of importance in its relationship to periodic minimal surfaces serving as a conceptual reference.

In a semiregular tessellation, there is an isometry of the plane carrying any vertex to any other vertex.

While one of the semiregular polyhedra was mentioned by Plato, their first serious study is attributed to Archimedes.

One that we will consider here is the semiregular tessellation—a tessellation of two or more regular polygons that are arranged so that the same polygons appear in the same order around each vertex point. The tessellation at the left in Figure 9.38 is a semiregular tessellation because the two figures are a square and a regular octagon. The tessellation at the right in Figure 9.38 is not a semiregular tessellation because the two figures are a square and a nonregular octagon.[…]There are only eight possible semiregular tessellations.