Dissection Puzzle - How to (1)

The "symmetric" dissection of a triangle to a hexagon is based on these two tilings:
   
The big triangles on the left side and the hexagons on the right side have equal area. The small triangles of the two tilings are congruent. They are needed to fill the space between the big triangles and hexagons, resp., such that their centers form a congruent pattern: Both, big triangles on the left and hexagons on the right, are surrounded by six congruent polygons at the same distance.

By putting the tilings on top of each other, such that the centers of the small triangles always match the centers of the other polygon (big triangle or hexagon) in the other tiling, one gets the dissection.


Last modified: Thu Feb 24 19:25:13 MET 2000