System of twisty puzzles

These pages shows all main types of twisty puzzles. Only 5 platonic solids (tetrahedrons, cubes, octahedrons, dodecahedrons and icosahedrons) are shown and only cuts that allow twisting without shape change are shown. I have classified the main types here by the number of cuts.

Deep cut twisty puzzles

First table contains so called deep cut puzzles. They have a single cut in the middle of the cube and thus all of them have only 2 layers.
All cuts can be either on face, corner or edge axes. There are theoretically 15 such puzzles existing (5 types of polyhedrons x 3 types of turning axes).
Only 3 out of 15 deep cut puzzles have not yet been built.

Single cut twisty puzzles

The second table contains puzzles that have one single cut, producing 2 - 3 layers.
Both deep-cut and shallow-cut puzzles are included in this table. Numbers in parenthesis show additional cuts which produce trivial twisting tips. These tips add aesthetic value to the puzzle, but do not add any complexity to solving the puzzle. Therefore these "trivial cuts" are omitted from the cut count.

Multi-cut twisty puzzles

Third table contains some puzzles with two, three or more cuts that have been commercially produced or hand built.

Deep cut twisty puzzles:

Polyhedron Number of cuts ID Picture After 1 twist Real puzzle Comments
Turning axis Name
Deepness of cuts
in degrees
Number of layers Gelatinbrain ID
Puzzles with A SINGLE DEEP cut (2 layers)
Tetra
Face
(180)
0 cuts
2 layers
4F180
Mini Pyraminx
-
4F180_mini_pyraminx.jpg 4F180_mini_pyraminx_1turn.jpg mini_pyraminx.jpg Mini Pyraminx was first built by Adam Zamora, 2006.
Video link
Tetra
Edge
180
1 cut
2 layers
4E180
Pyramorphix
-
4E180_pyramorphix.jpg 4E180_pyramorphix_1turn.jpg mefferts_pyramorphix.jpg Patented in 1983 by Manfred Fritsche
Cube
Face
180
1 cut
2 layers
6F180
Rubik's pocket cube
3.1.1
6F180_cube.jpg 6F180_cube_1turn.jpg 2x2x2_cube_Eastsheen.jpg -
Cube
Corner
180
1 cut
2 layers
6C180
Skewb
3.2.1
6C180_skewb.jpg 6C180_skewb_1turn.jpg skewb.jpg -
Cube
Edge
180
1 cut
2 layers
6E180
24 cube
3.3.7
6E180_little_chop.jpg 6E180_little_chop_1turn.jpg 24_cube.jpg Designed and built by Matt Shepit (the.drizzle), 2008
Video link
Octa
Face
180
1 cut
2 layers
8F180
Skewb Diamond
4.1.1
8F180_skewb_diamond.jpg 8F180_skewb_diamond_1turn.jpg skewb_diamond.jpg First built by Tony Fisher, 1991Later manufactured by Meffert's and other companies.
Octa
Corner
180
1 cut
2 layers
8C180
Pyradiamond
-
8C180_pyradiamond.jpg 8C180_pyradiamond_1turn.jpg diamond.jpg -
Octa
Edge
180
1 cut
2 layers
8E180
24-octahedron
4.3.3
8E180_24_octahedron.jpg 8E180_24_octahedron_1turn.jpg 24_octahedron_inc.jpg Designed by Matt Shepit (the.drizzle) in 2008, together with 24-cube. First built by incredible, 2010.
Video link
Dodeca
Face
180
1 cut
2 layers
12F180
Penultimate
1.1.7
12F180_penultimate.jpg 12F180_penultimate_1turn.jpg penultimate.jpg Designed and built by Jason Smith aka io, 2008
The making of the Penultimate
Video link
Dodeca
Corner
180
1 cut
2 layers
12C180
Chopasaurus
1.2.9
12C180_chopasaurus.jpg 12C180_chopasaurus_1turn.jpg chopasaurus.jpg First built by Andrew Cormier (drewseph), 2010.
Video link
Dodeca
Edge
180
1 cut
2 layers
12E180
Big Chop
1.4.3
12E180_big_chop.jpg 12E180_big_chop_1turn.jpg - -
Icosa
Face
180
1 cut
2 layers
20F180
unknown
2.1.5
20F180_unknown.jpg 20F180_unknown_1turn.jpg - -
Icosa
Corner
180
1 cut
2 layers
20C180
Icosamate
2.2.6
20C180_unknown.jpg 20C180_unknown_1turn.jpg icosamate_by_io.jpg Designed and built by Jason Smith (io), 2010
Video link
Icosa
Edge
180
1 cut
2 layers
20E180
unknown
2.3.1
20E180_unknown.jpg 20E180_unknown_1turn.jpg - -
Last updated 7th May 2011