Mathematical dissections make fun jigsaw puzzles. Here are a few of the more popular.
This Theorem, Euclid 1.47, is perhaps the most famous mathematical result. A geometrical statement is that for a planar right-angled triangle
Dudeney's dissection is a dissection of an equilateral triangle into pieces which can be rearranged into a square. The solution to this problem is often attributed to Henry Ernest Dudeney (1857-1930), one of the greatest nineteenth century puzzlers.
It is particularly satisfying that the pieces may be hinged. This makes it possible to produce a table, teapot stand or other objects which are useful for two, three, four or six people! What is even more surprising about this particular dissection is that the grain of the wood lines up correctly in both configurations!
There are many dissections of squares into other squares, no two of which are the same. The smallest dissection of a large square into squares which do not use a regular sequence of smaller squares was first discovered by A. J. W. Duijvestijn, and published in Scientific American in 1978. This consists of 21 squares, with sides of length 2, 4, 6, 7, 8, 9, 11, 15, 16, 17, 18, 19, 24, 25, 27, 29, 33, 35, 37, 42 and 50. This fits into a square with sides of length 112 units per side.
Here are some problems for you to solve.