Puzzle Booklet - a2+b2+c2=d2
|Object||Fill the 3 smaller squares then put all pieces into the big one.|
|Difficulty||Level 8 - Demanding|
|Dimensions||15 cm x 10.2 cm x 1 cm / 5.9 in x 4 in x 0.4 in|
These booklets are produced in Hungary by hand in limited editions; their contents are made of laser cut wood. This particular puzzle is based on a known mathematical dissection.
a²+b²+c²=d² has two challenges:
- Fill the three smaller squares with the pieces inside the booklet.
- Fit all the pieces into the largest square frame inside the booklet.
The Hungarian mathematician Farkas Bolyai proved that any two polygons with the same area can be dissected into each other. This puzzle beautifully shows an extension of this theorem. Here, three polygons are dissected into one.
Reference: Greg N. Frederickson, Dissections: Plane & Fancy
Cleverly designed with an attractively innovative book cover. Solution is included.
Made by Péter Gál.
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