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Cutting a Polyomino into Triangles of Equal Areas

A standard square in the xy-plane is a unit square whose corners have integer coordinates.  This note shows that when a polyomino consisting of an odd number of standard squares is cut into triangles of equal areas, the number of triangles is even.

Author(s): 
Sherman K. Stein
Publication Date: 
Monday, June 16, 2014
Original Publication Source: 
American Mathematical Monthly
Original Publication Date: 
March, 1999
Subject(s): 
Geometry and Topology
Plane Geometry
Triangles
Numbers and Computation
Measurement
Area
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Applicable Course(s): 
4.9 Geometry
Modify Date: 
Monday, June 16, 2014
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