Adding Polygonal Numbers

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A polygonal number is a natural number such that dots can be arrranged in an array shaped like a regular triangle, square, etc. In general, any -gonal number is equal to the sum of the -gonal number of the same rank and the triangular number of the previous rank. The diagram graphically illustrates how the addition works.

Contributed by: Enrique Zeleny (March 2011)
Based on a program by: Eric W. Weisstein
Open content licensed under CC BY-NC-SA


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