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math.CO2014★ 1 cited
A property of trivalent graphs related to equidissections
Daniil Rudenko
Monsky proved that a square cannot be dissected into an odd number of triangles of equal area. Stein conjectured that the same holds for any polygon whose edges can be paired into…
math.CO2012
On equidissection of balanced polygons
Daniil Rudenko
In this paper we show that a lattice balanced polygon of odd area cannot be cut into an odd number of triangles of equal areas. First result of this type was obtained by Paul Monsk…