
02322431
j
1998c.02003
Peterson, B.
Jordan, J.
Integer geometry: some examples and constructions.
Math. Gaz. 81, No. 490, 1828 (1997).
1997
Cambridge University Press, Cambridge; Mathematical Association (MA), Leicester
EN
G90
erdoes problems
integer polygons
integer polyhedra
cuboids
hexahedra
doi:10.2307/3618764
An integer polygon is a convex set of points in the plane such that no three are collinear and the distance between any two points is an integer; the measure used to order polygons is perimeter plus, the sum of all the edges and diagonals. This is generalized to integer polyhedra. The theorems of Pythagoras and Ptolemy are used to explore these polygons and polyhedra.