Decomposition into Isosceles Triangles with Angles That Are Multiples of Pi/4

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Figures such as a square, an octagon, or an octagram can be dissected into isosceles triangles where all three angles are multiples of . Such triangles have the same role as iso-penta triangles for five-fold symmetry. The figures in this Demonstration are not always decomposed into triangles; sometimes squares and rhombuses, which can be divided along a diagonal into two such triangles, are left whole.

Contributed by: Izidor Hafner (September 2013)
Open content licensed under CC BY-NC-SA




[1] G. N. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 2002 p. 212.

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