Iso-n Triangles

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This Demonstration shows the dissection of a regular -gon into iso-
triangles (
is an odd integer greater than 1).
Contributed by: Izidor Hafner (December 2020)
Open content licensed under CC BY-NC-SA
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If a regular polygon has an odd number of sides, then it can be dissected into isosceles triangles with the same legs. These triangles have certain kinds of angles. Specifically, a regular polygon with sides contains
isosceles triangles whose third angle equals
, for
[1, p. 11]. For the pentagon, Frederickson calls these triangles iso-penta triangles [1, p. 212] and for the heptagon, they are called iso-hepta triangles [1, p. 218]. So in the case of the regular
-gon, we call them iso-
triangles.
Reference
[1] G. N. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 1997.
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