Pentadrafter – The Pieces

Pentadrafter in the Drafter Grid

A Monodrafter – or simply Drafter – is a right-angled triangle with angles of 30°, 60°, and 90°. Connected Drafters form Polydrafters. The possible sets of these Polydrafters depend on the underlying grid. The Pentadrafter shapes considered here fit into the Drafter grid.

There are also other sets of Polydrafters, such as the Tridrafters, which fit into a triangular grid, but these are not discussed here.

For Polydrafters in the Drafter grid, there are 3 Didrafters, 3 Tridrafters, 9 Tetradrafter, 14 Pentadrafter, and 38 Hexadrafter.

14 Pentadrafter in the drafter grid
14 Pentadrafter in the drafter grid

Pentadrafter-Puzzles

Shapes and Symmetries

Shapes composed of 14 Pentadrafters consist of 70 Drafters. The underlying Drafter grid allows shapes with 6 mirror axes and sixfold rotational symmetry. However, for shapes using all Pentadrafters, only shapes with a single symmetry axis are known.

The 3D-printed puzzle, with printing templates available for download, is a challenge for lovers of polyform puzzles. It has only 2 solutions and is so difficult that it is practically unsolvable without computer assistance. More interestingly, the PolySolver program can be used to find symmetrical shapes for the Pentadrafters.

Some Pentadrafter Shapes
Pentadrafter shape 1
14 pieces
Pentadrafter shape 1 solution
2 solutions
Pentadrafter shape 2
14 pieces
Pentadrafter shape 2 solution
5 solutions
Pentadrafter shape 3
14 pieces
Pentadrafter shape 3 solution
1 solutions
Pentadrafter shape 4
14 pieces
Pentadrafter shape 4 solution
1 solution
Pentadrafter shape 5
10 pieces
Pentadrafter shape 5 solution
1 solution
Pentadrafter shape 6
8 pieces
Pentadrafter shape 6 solution
21 solutions

Resources & Downloads

3D Print Templates

The 3D-print templates consist of the 14 Pentadrafter puzzle pieces and a sliderbox.

3D-Druck-Pentadrafter-Puzzle
3D-Druck Pentadrafter-Puzzle