- 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...
- any dimension). A
partition into
triangles of
equal area is
called an
equidissection. Most
polygons cannot be equidissected, and
those that can
often have...
- each
other under this
duality are
compared in the
table below. The
equidissection problem concerns the
subdivision of
polygons into
triangles that all...
- 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}...
-
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...
-
Pseudospectrum Spectrum of a polygon, the set of
numbers of
possible equidissections Spectrum of a sentence, in
mathematical logic Spectrum of a theory...
- {\displaystyle m} is even, by
affine invariance of
equidissection and Monsky's
theorem on
equidissections of squares. More
generally an n {\displaystyle n}...
- work on
equidissection, the
subdivision of
polygons into
triangles of
equal area; with Stein, she made the
first studies of
equidissections of regular...
- of
Triangle Centers Equal incircles theorem Equal parallelians point Equidissection Equilateral triangle Euler's line Euler's
theorem in
geometry Erdős–Mordell...
-
independent discoverers of Fáry's theorem, and for his
contributions to
equidissection, the
partition of
polygons into
triangles of
equal area.
Stein won the...
