# Definition:Catalan Polyhedron

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## Definition

A **Catalan polyhedron** is a dual polyhedron of an Archimedean polyhedron.

The vertices of the **Catalan polyhedra** are regular, and the faces are all congruent.

## Also known as

A **Catalan polyhedron** is also known as a **dual Archimedean polyhedron**.

Many sources refer to it as a **Catalan solid**, but it is the general policy of $\mathsf{Pr} \infty \mathsf{fWiki}$ not to refer to polyhedra as **solids**, as this is technically a misnomer.

## Also see

## Source of Name

This entry was named for Eugène Charles Catalan.

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $13$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $13$