[ är′kə-mē′dē-ən, -mĭ-dē′- ] A polyhedron whose faces are regular polygons and whose angles are all congruent. The faces may all be of the same type, in which case the solid is a regular polyhedron, or may be of different types.

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## What makes an Archimedean solid?

[ är′kə-mē′dē-ən, -mĭ-dē′- ] A polyhedron whose faces are regular polygons and whose angles are all congruent. The faces may all be of the same type, in which case the solid is a regular polyhedron, or may be of different types.

### How many Archimedean solids are there?

13 different Archimedean solids

An Archimedean solid is a polyhedron made up of different kinds of regular polygons, that looks the same from every direction. There are 13 different Archimedean solids. A regular polygon is a polygon in which all sides have the same length and all interior angles have the same size.

#### What is the difference between Platonic solids and Archimedean solids?

The Platonic Solids are convex figures made up of one type of regular polygon. Archimedean solids are convex figures that can be made up of two or more types of regular polygons.

**Why are there 13 Archimedean solids?**

From a rather shallow point of view, someone made up the definition of an archimedean solid, and then they tried different things and found that only 13 satisfied the definition. There are 13 because there aren’t any other shapes that work.

**Why are there only 5 Platonic solids?**

STEP 4: Three regular hexagons just make a flat sheet. And shapes with more sides, like heptagons or octagons, can’t fit together to make the minimum three faces to make a corner. Therefore we can only make five Platonic solids. These solids were named after the ancient Greek mathematician Plato.

## Is a solid with twelve pentagons?

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka “twelve” + ἕδρα hédra “base”, “seat” or “face”) or duodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid.

### What 3D shape has 20 sides?

Icosahedron

An Icosahedron is a 3D shape that has 20 faces. The name comes from the Greek word eikosi, meaning ‘twenty’, and hedra, meaning ‘seat’.

#### Who discovered the dodecahedron?

Hippasus of Metapontum

When Hippasus of Metapontum (who is credited with discovering the dodecahedron) divulged the secret of the existence of the irrational, he was thrown in the river and drowned. Phi, expressed to about 20,000 places is printed to the surface in the painting.