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