WOLFRAM NOTEBOOK

Adding Polygonal Numbers

​
number of sides n for polygon on the right
4
order k of n-gonal number
6
+
=
A polygonal number is a natural number
p
such that
p
dots can be arrranged in an array shaped like a regular triangle, square, etc. In general, any
n
-gonal number is equal to the sum of the
(n-1)
-gonal number of the same rank and the triangular number of the previous rank. The diagram graphically illustrates how the addition works.

External Links

Permanent Citation

Enrique Zeleny, Eric W. Weisstein
​
​"Adding Polygonal Numbers"​
​http://demonstrations.wolfram.com/AddingPolygonalNumbers/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011
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