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An Archimedean polyhedron is a convex polyhedron with the following properties:
- $(1): \quad$ Each of its faces is a regular polygon
- $(2): \quad$ It is vertex-transitive
- $(3): \quad$ The faces are not all congruent.
- $(4): \quad$ It is not a regular prism or a regular antiprism.
Also defined as
Also known as
An Archimedean polyhedron is also known as an Archimedean solid.
- Results about Archimedean polyhedra can be found here.
Source of Name
This entry was named for Archimedes of Syracuse.
- 1991: David Wells: Curious and Interesting Geometry ... (next): Entry: Archimedean polyhedra
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: Archimedean solid
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: Archimedean solid
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: Archimedean solid
- Weisstein, Eric W. "Archimedean Solid." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ArchimedeanSolid.html