A plane passing through midpoints of half the edges of a cube has a cross-section of one of these polygons.
If these figures are cyclic, their diagonals are all concurrent if the products of alternating sides are equal. A plane passing through midpoints of half the edges of a cube has a cross-section of one of these polygons. When regular, these polygons have the greatest number of sides of any that can tessellate the plane. When they have side-length one, the regular variety of these figures has area 3 root 3 all over 2. The sum of their interior angles is 720, so, when regular, each angle is 120 degrees. For 10 points, identify these polygons which have six sides.
If these figures are cyclic, their diagonals are all concurrent if the products of alternating sides are equal.
hexagons