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### Polyhedron Vertices

```Date: 02/25/2003 at 18:14:16
From: John
Subject: Polyhedron

What is the least number of vertices that a polyhedron may have?
```

```
Date: 02/25/2003 at 19:46:51
From: Doctor Douglas

Hi, John,

Thanks for submitting your question to the Math Forum.

Three vertices are necessary to define the first (triangular) face of
any polyhedron (if that face is a polygon with more sides, then more
vertices are required). But these three points (and the face defined
by them) are coplanar, and so are insufficient to make the polyhedron
a three-dimensional object.

What about four?  Four vertices suffice, because we can make a
tetrahedron (a triangular pyramid) with four vertices.

- Doctor Douglas, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Polyhedra
Middle School Polyhedra

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