Dictionary

semiregular en · ADJ

Pronunciation

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Etymology

Etymology tree Proto-Indo-European *sem- Proto-Indo-European *sēmi Latin sēmi-bor. English semi- English regular English semiregular From semi- + regular.

Meanings

1. (not-comparable) Somewhat regular; occasional.
   • Although Lester must still see doctors on a semiregular basis for checkups, his health has returned to normal. 2007 July 24, Bill Finley, “Victorious Night for Lester in His Return From Cancer”, in New York Times:
2. (not-comparable, of a topological space) Whose regular open sets form a base.
   • 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. 1970, Stephen Willard, General Topology, published 2004, page 98:
3. (not-comparable, of a polyhedron or tessellation of the plane) Uniform (isogonal and isotoxal) with regular faces of two or more types, such that each vertex is surrounded by the same polygons in the same order.
   • It will be seen below that this semiregular polyhedron is of importance in its relationship to periodic minimal surfaces serving as a conceptual reference. 1993, H. Terrones, A. L. MacKay, “The Geometry of Hypothetical Curved Graphite Structures”, in H. W. Kroto, J.E. Fischer, Deann Cox, editors, The Fullerenes, page 115:
   • In a semiregular tessellation, there is an isometry of the plane carrying any vertex to any other vertex. 1998, David A. Singer, Geometry: Plane and Fancy, page 35:
   • 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. 2011, Tom Bassarear, Mathematics for Elementary School Teachers, page 583:
   • While one of the semiregular polyhedra was mentioned by Plato, their first serious study is attributed to Archimedes. 2003, Saul Stahl, Geometry from Euclid to Knots, published 2010, page 272:

Forms

Deriveds

semiregularly · semiregular polyhedron · semiregular tessellation