Pick's Theorem
Pick's Theorem
Suppose that a polygon has its corners at the points of a geoboard. (You can drag the corners.) Count the number of boundary points B and interior points I. As long as the polygon does not cross over itself, Pick's theorem gives the area as A = I + B/2 - 1. In words, the area is one less than the number of interior points plus half the number of border points.
External Links
External Links
Permanent Citation
Permanent Citation
Ed Pegg Jr
"Pick's Theorem"
http://demonstrations.wolfram.com/PicksTheorem/
Wolfram Demonstrations Project
Published: September 28, 2007