Abstract
The purpose of this project is to discover how the amount of sides of a regular polygon affects the ratio between the polygon and a similar one formed from its diagonals. This has relevance to architects as they build structures more efficiently, improving folding techniques for polygons in origami, and create new compact products to conduct medicinal procedures. If the number of sides of a polygon is related to the ratio between a regular polygon and a similar polygon formed from non-opposite, diagonal lines of the original regular polygon, then the ratio will change as the number of sides changes based on a formula. The ratio between regular polygons based on non-opposite, diagonal lines of a regular polygon to form similar, inner polygons were determined by creating the formula to determine the ratio and comparing that with the measured values.