Wise teachers capitalize upon childrens' natural interests and preferred activities. Why not make a set of polygons that can be drawn to Euler's specifications? Challenge your students not only to solve the puzzles with the turtle, but to try to see the pattern in the "magic". Most importantly, encourage them to create Euler puzzles of their own for their classmates to solve.
Harris, J. (1990). Euler and the turtle. Logo Exchange, 8(6), 11-12.