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:
“In the most desirable conditions, the child learns to manage anxiety by being exposed to just the right amounts of it, not much more and not much less. This optimal amount of anxiety varies with the childs age and temperament. It may also vary with cultural values.... There is no mathematical formula for calculating exact amounts of optimal anxiety. This is why child rearing is an art and not a science.”
—Alicia F. Lieberman (20th century)
“But suppose, asks the student of the professor, we follow all your structural rules for writing, what about that something else that brings the book alive? What is the formula for that? The formula for that is not included in the curriculum.”
—Fannie Hurst (18891968)
“I take it that what all men are really after is some form or perhaps only some formula of peace.”
—Joseph Conrad (18571924)