Problem Statement

A pentagram is a star polygon, consisting of a central pentagon of which each side forms the base of an isosceles triangle. The vertex of each triangle, a point of the star, is 36 degrees.

Draw (or print) a regular pentagram, in any orientation. Use a different color (or token) for stroke and fill, and background. For the fill it should be assumed that all points inside the triangles and the pentagon are inside the pentagram.

Let's start with the solution:

#lang racket
(require 2htdp/image)

(overlay
 (star-polygon 100 5 2 "outline" (make-pen "blue" 4 "solid" "round" "round"))
 (star-polygon 100 5 2 "solid" "cyan"))