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Folding a Strip to Form Regular Odd n-Gons

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n-gon
7
9
11
13
15
17
19
steps
0
1
2
3
4
5
6
steps greater than 2 are available only for n = 7
plot range
This Demonstration shows a method of folding a strip to form a heptagon. This folding method is valid for regular polygons with an odd number of sides; the strip is made of a sequence of the largest trapezium whose legs are the sides of the polygon. For other than a regular heptagon (
n=7
), only the first two steps are shown.
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