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### Hexagon vs. Hexagram

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Date: 01/11/99 at 10:57:14
From: pvazqez
Subject: Hexagon vs hexagram

What is the difference between a hexagon and a hexagram?
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Date: 01/11/99 at 12:29:59
From: Doctor Rick
Subject: Re: Hexagon vs hexagram

Hi, and welcome to Ask Dr. Math.

A hexagon is a polygon with six sides. A hexagram also has six sides,
but they are arranged in two overlapping triangles. A hexagram is also
known as a star of David.

You can make a hexagram by starting with a hexagon and joining
alternate pairs of vertices. That is, if you number the vertices of the
hexagon in the order in which they are connected, then connect 1 to 3,
3 to 5, 5 to 1, 2 to 4, 4 to 6, and 6 to 2, the new lines make a
hexagram. You can do likewise with a pentagon to make a pentagram
(5-pointed star). Starting with a heptagon (7 sides), you can make two
different "star polygons" by joining every second vertex or every third
vertex.

- Doctor Rick, The Math Forum
http://mathforum.org/dr.math/
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Associated Topics:
High School Definitions
High School Geometry
High School Triangles and Other Polygons
Middle School Definitions
Middle School Geometry
Middle School Triangles and Other Polygons

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