# Regular n-Gons as Polygons and Stars

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This Demonstration shows regular -gons that can be convex polygons or stars.

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Contributed by: Arthur Stammet (March 2011)

Open content licensed under CC BY-NC-SA

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## Details

It's an interesting job to look for all the pentagons and pentagrams and to take note of the relationships between the number of sides and the divisor (step size).

The series of pentagons is , , , , …, , which are all equal to 5. Beginning with , double the values of the divisor in order to get pentagrams.

The series of pentagrams is therefore , , , , , …, .

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