Dissection of One Triangle to Another

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This Demonstration shows Lindgren's triangle-to-triangle dissection.

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



The first to give a dissection of a non-equilateral triangle to a different non-equilateral triangle was Henry Taylor (1905). Lindgren (1953) observed that Taylor's dissection could be constructed using triangular strips. Namely, two copies of a triangle form a parallelogram, and copies of the parallelogram form a parallelogram (P) strip. Two P-strips intersect in a parallelogram and half of it determines triangle dissection.


[1] G. N. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 1997 p. 139. www.cs.purdue.edu/homes/gnf/book.html.

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