Question 117
A polygon is tiled with a finite number of triangles whose sides all have an odd length.
a) Prove that, if the polygon is convex, then its perimeter is an integer of the same parity as the number of triangles in the tiling.
b) Does the conclusion still hold if the polygon is not convex?
a) Prove that, if the polygon is convex, then its perimeter is an integer of the same parity as the number of triangles in the tiling.
b) Does the conclusion still hold if the polygon is not convex?