Question 147
There is a sufficiently large supply of equilateral triangles and squares, all with the same side length. Convex polygons can be formed from these pieces by fitting them together in the plane without gaps or overlaps. The figure shows three possibilities for a hexagon.
a) What is the largest possible number $m$ of sides of such a convex polygon? Justify your answer.
b) Give an example for every possible number of sides at most $m$.
a) What is the largest possible number $m$ of sides of such a convex polygon? Justify your answer.
b) Give an example for every possible number of sides at most $m$.