Formula
If s is the number of sides in a polygon, the formula for the nth s-gonal number P(s,n) is
The nth s-gonal number is also related to the triangular numbers Tn as follows:
Thus:
For a given s-gonal number P(s,n) = x, one can find n by
Read more about this topic: Polygonal Number
Famous quotes containing the word formula:
“I cannot give you the formula for success, but I can give you the formula for failure—which is: Try to please everybody.”
—Herbert B. Swope (1882–1958)
““It’s hard enough to adjust [to the lack of control] in the beginning,” says a corporate vice president and single mother. “But then you realize that everything keeps changing, so you never regain control. I was just learning to take care of the belly-button stump, when it fell off. I had just learned to make formula really efficiently, when Sarah stopped using it.””
—Anne C. Weisberg (20th century)
“I take it that what all men are really after is some form or perhaps only some formula of peace.”
—Joseph Conrad (1857–1924)