He had folded the strip diagonally at three places and joined the ends so that it made a hexagon [see illustration below]. When he pinched two adjacent triangles together and pushed the opposite ...

Use a ruler and pen to join the dots – you now have a regular hexagon. Image caption ... to the dot – you now have a regular equilateral triangle.

MARCUS DU SAUTOY:This almost looks man-made, manufactured ... does the bee choose the hexagons? MARCUS DU SAUTOY:Well it turns out that the triangles actually use much more wax than any of ...