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



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.


[1] G. N. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 1997.

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