Polygons with Rational Sides, Diagonals and Area: Constructions and Properties
The majority of geometric constructions do not produce rational elements. This research was on so called rational polygons, which are polygons with rational sides, diagonals and area. We found a construction method with can produce those polygons with an arbitrary number of sides. Moreover we proved certain properties of those polygons like rationalization of all inner and outer segments and areas.
Kirov, Radoslav, "Polygons with Rational Sides, Diagonals and Area: Constructions and Properties" (2003). URC Student Scholarship.
Ford Research Fellowship