Question 6
On grid paper, polygons are drawn by connecting nearest neighboring grid points horizontally, vertically or diagonally. The length of any polygon edge is at most $\sqrt2$ units. The figure shows a triangle, quadrilaterals, pentagons and a hexagon drawn in this way.
Using the same method:
(a) Draw as many non-congruent hexagons (6-gons) as possible, other than the given example.
(b) Draw as many non-congruent heptagons (7-gons) as possible.
(c) What are the maximum and minimum possible areas of the heptagons?
Using the same method:
(a) Draw as many non-congruent hexagons (6-gons) as possible, other than the given example.
(b) Draw as many non-congruent heptagons (7-gons) as possible.
(c) What are the maximum and minimum possible areas of the heptagons?