The polyhedron above has 72 pentagonal faces of two types. The next one below has three different types of pentagon for its 132 faces. After that is a polyhedron with sixty faces, all of which are non-convex pentagons.

All three of these all-pentagon polyhedra were created using *Stella 4d: Polyhedron Navigator*. This program is available here.

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## About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet.
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They are all spectacular! Wish I could have them in hand.

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Thank you! =)

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Pingback: * Three Polyhedra with Only Pentagonal Faces — RobertLovesPi’s Blog | Teachezwell Blog

I love pentagons, although my preference is convex.

Question, is it possible to have a polyhedron of 240 convex pentagons?

I think it is, but I don’t have enough math background to determine if it is so.

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I must admit that I simply do not know. If I find one, ever, I’ll post it on this blog.

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