How many sides, Archimedes?

Geometry Level 4

What is the greatest number of sides on any face of an Archimedean solid ?


Image credit: shortbiography.org

12 3 10 5 4 None of these answers 6 8

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1 solution

Geoff Pilling
Jun 23, 2016

This is a great rhombicosidodecahedron :

Great Rhombicosidodecahedron Great Rhombicosidodecahedron

The faces have 4 4 , 6 6 and, 10 \boxed{10} sides, the most of any Archimedean solid.


Image credit: commons.wikimedia.org

Another one of the 13 Archimedean Solids that has faces with 10 sides is the Truncated Dodecahedron.

Bob Kadylo - 4 years, 8 months ago

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Ah... good point!

Geoff Pilling - 4 years, 8 months ago

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I just learned from your post how to embed a link. Thanks !!

Bob Kadylo - 4 years, 8 months ago

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@Bob Kadylo Cool! :0)

Geoff Pilling - 4 years, 8 months ago

This is a Truncated Dodecahedron :

Bob Kadylo - 4 years, 8 months ago

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