The problem of finding in how many ways a plane convex polygon of sides can be divided into triangles by diagonals. Euler first proposed it to Christian Goldbach in 1751, and the solution is the Catalan number .
Euler's Polygon Division Problem
See alsoCatalan Number, Catalan's Problem, Polygon Diagonal, Regular Polygon Division by Diagonals
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ReferencesForder, H. G. "Some Problems in Combinatorics." Math. Gaz. 41, 199-201, 1961.Guy, R. K. "Dissecting a Polygon Into Triangles." Bull. Malayan Math. Soc. 5, 57-60, 1958.
Referenced on Wolfram|AlphaEuler's Polygon Division Problem
Cite this as:
Weisstein, Eric W. "Euler's Polygon Division Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EulersPolygonDivisionProblem.html