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

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.


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