Pythagoras – The Game Pieces

Just like in the Tangram puzzle, the pieces of the Pythagoras puzzle can also be assembled entirely from right isosceles triangles. They therefore belong to the family of polyabolos.

Pythagoras puzzle pieces

The Pythagoras Puzzle

Just like the Tangram, the Pythagoras puzzle consists of seven pieces and can be assembled into a square.

Some of the possible shapes fit exactly into a grid of right isosceles triangles. Such grid-conforming shapes can be computed and displayed automatically by a solving program.

There are also symmetrical shapes that are not grid-conforming. These cannot be processed by the solver—as shown by the example in the illustration.

non-gridconform Pythagor shape
non-gridconform Pythagor shape
A selection of Pythagoras Puzzle shapes
Pythagoras shape 1
solution of Pythagoras shape 1
Pythagoras shape 2
solution of Pythagoras shape 2
Pythagoras shape 3
solution of Pythagoras shape 3
Pythagoras shape 4
solution of Pythagoras shape 4
Pythagoras shape 5
solution of Pythagoras shape 5
Pythagoras shape 6
solution of Pythagoras shape 6

Resources & Downloads

3D Print Templates

The 3D-print templates consist of the seven Pythagoras puzzle pieces and a slider box.

3D printed Pythaogas Puzzle
Sliderbox

Solution program

screenshot Pythagoras solver

The Pythagoras Puzzle solver is part of a program collection available for download on Itch.io. It is for Windows only.

IMPORTANT: For a correct installation, please read the Instructions before unpacking!


Crafting Templates

Download multi-colored crafting templates for a cardboard Pythagoras puzzle

crafting template
Crafting Template orange

short video on how to make a cardboard Pythagoras puzzle