In geometry, an equidissection is a partition of a polygon into triangles of equal area. The study of equidissections began in the late 1960s with Monsky's...
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Zonogon (section Tiling and equidissection)
Monsky's theorem, Paul Monsky (1990) proved that no zonogon has an equidissection into an odd number of equal-area triangles. In an n {\displaystyle n}...
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triangles of equal area. In other words, a square does not have an odd equidissection. The problem was posed by Fred Richman in the American Mathematical...
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any dimension). A partition into triangles of equal area is called an equidissection. Most polygons cannot be equidissected, and those that can often have...
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each other under this duality are compared in the table below. The equidissection problem concerns the subdivision of polygons into triangles that all...
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work on equidissection, the subdivision of polygons into triangles of equal area; with Stein, she made the first studies of equidissections of regular...
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of Triangle Centers Equal incircles theorem Equal parallelians point Equidissection Equilateral triangle Euler's line Euler's theorem in geometry Erdős–Mordell...
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{\displaystyle m} is even, by affine invariance of equidissection and Monsky's theorem on equidissections of squares. More generally an n {\displaystyle n}...
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Pseudospectrum Spectrum of a polygon, the set of numbers of possible equidissections Spectrum of a sentence, in mathematical logic Spectrum of a theory...
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independent discoverers of Fáry's theorem, and for his contributions to equidissection, the partition of polygons into triangles of equal area. Stein won the...
13 KB (1,348 words) - 14:48, 25 November 2020