Definition:Semiregular Polyhedron

Definition

A semiregular polyhedron is a polyhedron with the following properties:

$(1): \quad$ Each of its faces is a regular polygon

$(2): \quad$ It is isogonal

$(3): \quad$ The faces are not all congruent.

Also known as

Many sources present semiregular polyhedron as semi-regular, but $\mathsf{Pr} \infty \mathsf{fWiki}$ prefers the simplicity of the unhyphenated version of this term.

Also see

• Definition:Regular Polyhedron
• Definition:Archimedean Polyhedron

• Results about semiregular polyhedra can be found here.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $13$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $13$
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Archimedean solid
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): semi-regular polyhedron

• Weisstein, Eric W. "Semiregular Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SemiregularPolyhedron.html