Q: What is truncated icosahedron?

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I believe that would be the truncated icosahedron! It is pentagons and hexagons, right? Here is a site with pictures:http://www.faculty.fairfield.edu/jmac/rs/polyhedra.htm

A truncated graph has on of its axes cut off or "truncated"

A icosahedron is a polyhedron with 20 plane surfaces.

An icosahedron has 30 edges.

A truncated cube has 24 vertices.

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Truncated icosahedron Truncated icosahedron

12 faces on a truncated icosahedron are pentagons. (The other 20 faces are hexagons.)

Truncated Icosahedron

It has 60 :)

Truncated Icosahedron

Some examples of solids are cube, sphere, cylinder, cone, pyramid, prism, tetrahedron, dodecahedron, octahedron, icosahedron, torus, cuboid, rhombic dodecahedron, ellipsoid, oloid, trapezohedron, truncated cone, truncated cuboctahedron, truncated dodecahedron, truncated icosahedron.

Truncated Icosahedron

truncated icosahedron

It is a truncated icosahedron projected onto a sphere.

No. It is a semi-regular polyhedron. Explanation. The truncated icosahedron is a polyhedron that can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends. This creates 12 new pentagon faces, and leaves the original 20 triangle faces as regular hexagons A regular polyhedron is a polyhedron whose faces are congruent regular polygons. The truncated icosahedron is NOT a regular polyhedron, it is a semiregular polyhedron. It is a uniform polyhedron.

A football is a truncated icosahedron consisting of 12 pentagons and 20 hegagons.

It's a polyhedron, so I guess that would be another way to describe it.