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.

Multi-cut twisty puzzles:

Polyhedron Number of cuts Name Picture After 1 twist Real puzzle Comments
Turning axes
Deepness of cuts
in degrees
Number of layers Gelatinbrain ID
Puzzles with TWO cuts (4 or 5 layers)
Tetra
Face
F180+F90 (+F270)
2 cuts
3 layers
Master Pyraminx
5.1.4
4F180+F90_master_pyraminx.jpg 4F180+F90_master_pyraminx_1turn.jpg master_pyraminx.jpg This puzzle has in fact 3 cuts but one of them produces only trivial tips.
The puzzle was first created by Katsuhiko Okamoto in 2002.
Later also built by several others.
Video link
Tetra
Face
F90+F60
2 cuts
3 layers
Master Tetrahedron
5.1.9
4F90+F60_master_tetrahedron.jpg 4F90+F60_master_tetrahedron_1turn.jpg master_tetrahedron.jpg The puzzle was first built by Andrew Cormier (drewseph) in 2008.
Video link
Tetra
Edge
E180+E130
2 cuts
4 layers
Megamorphix
-
4E180+E130_megamorphix.jpg 4E180+E130_megamorphix_1turn.jpg megamorphix.jpg The puzzle was first built by Adam Zamora in 2004.
Video link
Tetra
Edge
E165+E130
2 cuts
5 layers
Ultramorphix
-
4E165+E130_5x5x5_morphix.jpg 4E165+E130_5x5x5_morphix_1turn.jpg ultramorphix.jpg The puzzle was first built by traiphum in Nov 2009.
Video link
The straight version of this puzzle was first built by judochiou625 in Feb 2010.
Hexa
Face
F180+F90
2 cuts
4 layers
4x4x4 or Rubik's Revenge or Master Cube
3.1.3
6F180+F90_cube.jpg 6F180+F90_cube_1turn.jpg 4x4x4_cubeW_Eastsheen.jpg The puzzle was invented by Péter Sebestény in 1982.
Video link
Hexa
Face
F144+F72
2 cuts
5 layers
5x5x5 or Professor's Cube
3.1.4
6F144+F72_cube.jpg 6F144+F72_cube_1turn.jpg 5x5x5_cube_Rubiks.jpg The puzzle was invented by Udo Krell in 1982.
Video link
Hexa
Corner
C180+C150
2 cuts
4 layers
Elite Skewb
3.2.3
6C180+C150_elite_skewb.jpg 6C180+C150_elite_skewb_1turn.jpg elite_skewb.jpg The puzzle was designed and built by Andrew Cormier (drewseph) in 2009.
Video link
Hexa
Corner
C180+C120
2 cuts
4 layers
Dino Skewb
3.2.5
6C180+C120_dino_skewb.jpg 6C180+C120_dino_skewb_1turn.jpg dino_skewb_TomZ.jpg The puzzle was designed and built by Tom van der Zanden (TomZ) in 2010.
Video link
Hexa
Corner
C180+C100
2 cuts
4 layers
Compy Skewb
3.2.12
6C180+C100_compy_skewb.jpg 6C180+C100_compy_skewb_1turn.jpg compy_skewb.jpg The puzzle was designed and built by Tom van der Zanden (TomZ) in 2010.
Video link
Hexa
Corner
C170+C150
2 cuts
5 layers
Royal Skewb
-
6C170+C150_royal_skewb.jpg 6C170+C150_royal_skewb_1turn.jpg royal_skewb.jpg The puzzle was designed and built by Eric Vergo (gingervergo) in 2011.
Video link
Hexa
Corner
C120+C60
2 cuts
5 layers
Lattice Cube (Master Dino Cube)
3.2.7
6C120+C60_lattice_cube.jpg 6C120+C60_lattice_cube_1turn.jpg lattice_cube.jpg The puzzle was first built by Katsuhiko Okamoto in 2003.
Later also built by Scott Bedard in 2009
Video link
Hexa
Corner
C100+C60
2 cuts
5 layers
Mosaic Cube (Fadi Cube)
-
6C100+C60_mosaic_cube.jpg 6C100+C60_mosaic_cube_1turn.jpg mosaic_cube.jpg The puzzle was first built by Oskar van Deventer in 2009.
Now mass-produced by Meffert's
Video link
Hexa
Edge
E85+E60
2 cuts
5 layers
Master Curvy Copter
-
6E85+E60_master_curvy_copter.jpg 6E85+E60_master_curvy_copter_1turn.jpg master_curvy_copter.jpg The puzzle was first built by Eitan Cher (pirsquared) in 2010.
Eitan's Master Curvy Copter is not exactly E85+E60, 5 center pieces are hidden because of curvy cuts.
Video link
Hexa
Edge
E90+E60
2 cuts
5 layers
Master Helicopter Cube
-
6E90+E60_master_helicopter.jpg 6E90+E60_master_helicopter_1turn.jpg master_helicopter.jpg The puzzle was first built by Eitan Cher (pirsquared) in 2012.
Video link
Hexa
Face+Corner
F180+C180
2 cuts
4 layers
2x2x2+Skewb (SkewbX)
3.4.1
6F180+C180_skewbX.jpg 6F180+C180_skewbX_1turn.jpg 2x2x2+skewb_adam.jpg The puzzle was first built by Adam G. Cowan (Puzzlemaster), Dec 2009.
Hexa
Face+Corner
F180+C150
2 cuts
5 layers
HyperX
3.4.3
6F180+C150_hyperX.jpg 6F180+C150_hyperX_1turn.jpg hyperX.jpg The puzzle was first built by RubixFreakGreg, Oct 2011.
Video link
Hexa
Face+Corner
F180+C120
2 cuts
5 layers
SuperX
3.4.2
6F180+C120_superX.jpg 6F180+C120_superX_1turn.jpg SuperX.jpg The puzzle was first built by Adam G. Cowan (Puzzlemaster), Dec 2006.
Improved version (v2) was built by Andrew Cormier (drewseph) in 2009.
Video link
Hexa
Face+Corner
F120+C140
2 cuts
6 layers
Rex 3x3x3
-
6F120+C140_rex_3x3x3.jpg 6F120+C140_rex_3x3x3_1turn.jpg rex_3x3x3.jpg The puzzle was first built by arvinshu, April 2012.
Hexa
Face+Corner
F120+C120
2 cuts
6 layers
Dino 3x3x3
3.4.5
6F120+C120_dino_3x3x3.jpg 6F120+C120_dino_3x3x3_1turn.jpg 3x3x3_dino_tomz.jpg The puzzle was first built by Tom van der Zanden (TomZ), Dec 2010.
Video link
Hexa
Face+Corner
F90+C150
2 cuts
5 layers
Master Skewb 3x3x3
3.4.7
6F90+C150_master_skewb_3x3x3.jpg 6F90+C150_master_skewb_3x3x3_1turn.jpg master_skewb_3x3x3.jpg The puzzle was first built by arvinshu, May 2012.
Hexa
Face+Edge
F180+E90
2 cuts
5 layers
Helicopter 2x2x2
-
6F180+E90_helicopter_2x2x2.jpg 6F180+E90_helicopter_2x2x2_1turn.jpg helicopter_2x2x2_Fturn.jpg The puzzle was first built by Eric Vergo (gingervergo), 2011.
Video link
Hexa
Face+Edge
F180+E75
2 cuts
5 layers
Combo Copter
-
6F180+E75_combo_copter.jpg 6F180+E75_combo_copter_1turn.jpg combo_copter.jpg The puzzle was first built by Clay and Eva Creations, 2010.
Four center pieces are hidden
Video link
Hexa
Corner+Edge
C180+E90
2 cuts
5 layers
Helicopter Skewb
-
6C180+E90_helicopter_skewb.jpg 6C180+E90_helicopter_skewb_1turn.jpg helicopter_skewb.jpg The puzzle was first built by Tom van der Zanden (TomZ) in 2010.
Video link
Hexa
Corner+Edge
approx. C90+E90
2 cuts
6 layers
Flower Copter
-
6C90+E90_flower_copter.jpg flower_copter_mixed.jpg flower_copter.jpg The puzzle was first built by arvinshu November 2011.
Octa
Face
F180+F90
2 cuts
4 layers
Master Face Turning Octahedron
4.1.5
8F180+F90_master_FTO.jpg 8F180+F90_master_FTO_1turn.jpg master_FTO.jpg First built by Timur aka Shim in 2010.
Video link
Octa
Corner
C180+C135
2 cuts
4 layers
4x4x4 Trajber's Octahedron
4.2.5
8C180+C135_4x4x4_trajbers_octahedron.jpg 8C180+C135_4x4x4_trajbers_octahedron_1turn.jpg 4x4x4_trajbers_octahedron.jpg The first working prototype was probably made by Jürgen Brandt in 2002?.
The next was built by Ryan Thompson, May 2007.
Now mass-produced. Video link
Octa
Corner
C160+C130
2 cuts
5 layers
5x5x5 Trajber's Octahedron
4.2.10
8C160+C130_5x5x5_trajbers_octahedron.jpg 8C160+C130_5x5x5_trajbers_octahedron_1turn.jpg 5x5x5_trajbers.jpg The puzzle was first built by Ryan Thompson in 2008.
Video link
Octa
Corner
C150+C105
2 cuts
5 layers
Elliptical Cross Cube
-
8C150+C105_elliptical_cross_cube.jpg 8C150+C105_elliptical_cross_cube_1turn.jpg elliptical_cross_cube.jpg The puzzle was first designed and built by Matthew Scott Ray (Muffet) and clausw in 2010. In this version, corner pieces and central edge pieces are hidden/missing.
Video link
Octa
Corner
C140+C80
2 cuts
5 layers
Aleh's Mini Master Octahedron
-
8C140+C80_mini_master_octahedron.jpg 8C140+C80_mini_master_octahedron_1turn.jpg mini_master_octahedron_by_Aleh.jpg The puzzle was first built by Aleh Hladzilin (Aleh) in 2010.
Video link
Octa
Corner
C135+C90 (+C45)
2 cuts
5 layers
5x5x5 Master Octahedron
-
8C135+C90+C45_master_octahedron.jpg 8C135+C90+C45_master_octahedron_1turn.jpg master_octahedron_5x5x5_by_Aleh.jpg The puzzle was first built by Aleh Hladzilin (Aleh) in July 2005.
Video link
Octa
Corner
C120+E60 (+C60)
2 cuts
6 layers
VET Octahedron
-
8C120+E60_vet_ocahedron.jpg 8C120+E60_vet_ocahedron_1turn.jpg vet_octahedron.jpg The puzzle was first built by Aleh Hladzilin (Aleh) in October 2012.
Video link
Octa
Face+Corner
F120+C120
2 cuts
6 layers
Comboctahedron
-
8F120+C120_comboctahedron.jpg 8F120+C120_comboctahedron_1turn.jpg comboctahedron_Fturn.jpg The puzzle was first built by Eitan Cher (pirsquared) in 2010.
Video link
Dodeca
Face
F170+F150
2 cuts
5 layers
Royal Penultimate
-
12F170_F150_royal_penultimate.jpg 12F170_F150_royal_penultimate_1turn.jpg royal_penultimate.jpg The puzzle was first built by Eric Vergo (gingervergo), June 2011.
Video link
Dodeca
Face
F115+F25
2 cuts
5 layers
Master Starminx
-
12F115+F25_master_starminx.jpg 12F115+F25_master_starminx_1turn.jpg master_starminx.jpg The puzzle was first built by Eric Vergo, 2012.
Video link
Dodeca
Face
F100+F35
2 cuts
5 layers
Master Brilic
1.1.10
12F100+F35_master_brilic.jpg 12F100+F35_master_brilic_1turn.jpg master_brilic_drewseph.jpg The puzzle was first built by Andrew Cormier (drewseph), November 2009.
The second was built by Tom van der Zanden (TomZ), March 2010.
Video link
Dodeca
Face
F66+F33
2 cuts
5 layers
Gigaminx
1.1.9
12F66+F33_gigaminx.jpg 12F66+F33_gigaminx_1turn.jpg gigaminx_TBTTyler.jpg The puzzle was first built by Tyler Fox (TBTTyler), 2005.
Video link
Dodeca
Face+Corner
F140+C45
2 cuts
6 layers
Dino Starminx
-
12F140+C45_dino_starminx.jpg 12F140+C45_dino_starminx_1turn.jpg dino_starminx.jpg The puzzle was first built by Eitan Cher, Dec 2012.
Video link
Dodeca
Face+Corner
F180+E35
2 cuts
5 layers
Helimate
-
12F180+E35_helimate.jpg 12F180+E35_helimate_1turn.jpg helimate_RFG.jpg The puzzle was first built by RubixFreakGreg, Jan 2012.
Video link
Dodeca
Face+Edge
F70+E35
2 cuts
6 layers
Copterminx
-
12F70+E35_copterminx.jpg 12F70+E35_copterminx_1turn.jpg copterminx.jpg The puzzle was first built by Sharon Avidor and Matthew Ray (Muffet), 2011. The actual puzzle has some additional pieces revealed due to curvy cuts.
Video link
Icosa
Corner
C100+C50
2 cuts
5 layers
Dogic
2.2.8
20C100+C50_dogic.jpg 20C100+C50_dogic_1turn.jpg dogic_12C.jpg The Dogic was patented by Zoltan and Robert Vecsei in Hungary in 1993.
Video link
Icosa
Corner
C85+C70
2 cuts
5 layers
Dual Layer Icosahedron (DLI)
2.2.17
20C85_C70_dli.jpg 20C85_C70_dli_1turn.jpg dli_olz.jpg First built by Ola Jansson (olz), 2010.
Video link
Icosa
Corner
C75+C50 (+C25)
2 cuts
5 layers
Master Tutt's Icosahedron
-
20C75+C50_master_tutt_icosahedron.jpg 20C75+C50_master_tutt_icosahedron_1turn.jpg master_tutt_icosahedron.jpg First built by Matthew Ray (Muffet), 2011.
Video link
Puzzles with THREE cuts (6 or 7 layers)
Tetra
Face
F216+F144+F72 (+F288)
3 cuts
4 layers
Professor Pyraminx
5.1.10
4F60+F90+F180+F240+F300_royal_pyraminx.jpg 4F72+F144+F216+F288_professor_pyraminx_1turn.jpg professor_pyraminx.jpg The puzzle was first built by Shim, 2010.
Video link
Tetra
Face
F90+F65+F40
3 cuts
4 layers
Elite Tetrahedron
-
4F90+F65+F40_elite_tetrahedron.jpg 4F90+F65+F40_elite_tetrahedron_1turn.jpg elite_tetrahedron.jpg The puzzle was first built by Andrew Cormier (drewseph) in 2008.
Video link
Tetra
Edge
E180+E135+E90
3 cuts
6 layers
6x6x6 Tetrahedron / HexaPhobic
-
4E180+E135+E90_hexaphobic.jpg 4E180+E135+E90_hexaphobic_1turn.jpg hexaphobic.jpg The puzzle was first built by traiphum in 2010.
Video link
Tetra
Edge
E170+E150+E130
3 cuts
7 layers
7x7x7 Tetrahedron
-
4E170+E150+E130.jpg 4E170+E150+E130_1turn.jpg 7x7x7_tetrahedron.jpg The puzzle was first built by judochiou625, Mar 2010.
A pillowed version was later built by traiphum, which can also be seen in video link
Hexa
Face
F180+F120+F60
3 cuts
6 layers
6x6x6 Cube
3.1.5
6F180+F120+F60_cube.jpg 6F180+F120+F60_cube_1turn.jpg 6x6x6_cubeW_Verdes.jpg The puzzle was patented in 2007 by Panagiotis Verdes and built by V-Cube company in 2008.
Video link
Hexa
Face
F156+F104+F52
3 cuts
7 layers
7x7x7 Cube
3.1.6
6F156+F104+F52_cube.jpg 6F156+F104+F52_cube_1turn.jpg 7x7x7_cubeW_Verdes.jpg The puzzle was patented in 2007 by Panagiotis Verdes and built by V-Cube company in 2008.
Video link
Hexa
Face+Corner
F180+C120+C60
3 cuts
7 layers
Lattice X
3.4.4
6F180+C120+C60_latticeX.jpg 6F180+C120+C60_latticeX_1turn.jpg latticeX.jpg The puzzle was built by Ola Jansson (olz) in 2009.
Video link
Octa
Corner
C180+C155+C130
3 cuts
6 layers
6x6x6 Trajbers Octahedron
3.4.4
8C180+C155+C130_6x6x6_trajbers_octa.jpg 8C180+C155+C130_6x6x6_trajbers_octa_1turn.jpg 6x6x6_trajbers_octahedron.jpg The puzzle was built by Hungab, May 2012.
Video link
Dodeca
Face
F66+F44+F22
3 cuts
7 layers
Teraminx
-
12F66+F44+F22_teraminx.jpg 12F66+F44+F22_teraminx_1turn.jpg teraminx.jpg The puzzle was built by Andrew Cormier (drewseph) in 2008.
Video link
Icosa
Corner
C90+C80+C70
3 cuts
7 layers
TLI (Triple Layer Icosahedron)
-
20C90+C80+C70_tli.jpg 20C90+C80+C70_tli_1turn.jpg tli.jpg The puzzle was designed by RubiksFreakGreg, built by clausw, Oct 2012.
Puzzles with FOUR cuts (8 or 9 layers)
Tetra
Face
F240+F180+F120+F60(+F300)
4 cuts
5 layers
Royal Pyraminx
-
4F60+F90+F180+F240+F300_royal_pyraminx.jpg 4F60+F90+F180+F240+F300_royal_pyraminx_1turn.jpg royal_pyraminx.jpg The puzzle was first built by Timur aka Shim, 2011.
Video link
Tetra
Face
F100+F80+F60+F40
4 cuts
5 layers
Royal Tetrahedron
-
4F100+F80+F60+F40_royal_tetrahedron.jpg 4F100+F80+F60+F40_royal_tetrahedron_1turn.jpg royal_tetrahedron.jpg The puzzle was built by Andrew Cormier (drewseph) in Feb 2009.
Video link
Hexa
Face
F180+F135+F90+F45
4 cuts
8 layers
8x8x8 Cube
-
6F180+F135+F90+F45_cube.jpg 6F180+F135+F90+F45_cube_1turn.jpg 8x8x8.jpg The puzzle was patented in 2007 by Panagiotis Verdes.
First built by mf8, Dec 2009
Video link
Hexa
Face
F160+F120+F80+F40
4 cuts
9 layers
9x9x9 Cube
-
6F160+F120+F80+F40_cube.jpg 6F160+F120+F80+F40_cube_1turn.jpg 9x9x9.jpg The puzzle was patented in 2007 by Panagiotis Verdes.
First built by mf8, June 2009
Video link
Dodeca
Face
F64+F48+F32+F16
4 cuts
9 layers
Petaminx
-
12F64+F48+F32+F16_petaminx.jpg 12F64+F48+F32+F16_petaminx_1turn.jpg petaminx.jpg The puzzle was first designed by Andrew Cormier (drewseph) and built by David Calzone and Flambore in 2009
Video link
Puzzles with FIVE cuts (10 or 11 layers)
Hexa
Face
F180+F142+F108+F72+F36
5 cuts
10 layers
10x10x10 Cube
-
6F180+F142+F108+F72+F36.jpg 6F180+F142+F108+F72+F36_1turn.jpg 10x10x10.jpg The puzzle was patented in 2007 by Panagiotis Verdes.
First built by mf8, May 2010
Hexa
Face
F165+F135+F105+F75+F45
5 cuts
10 layers
11x11x11 Cube
-
6F165+F135+F105+F75+F45.jpg 6F165+F135+F105+F75+F45_1turn.jpg 11x11x11.jpg The puzzle was patented in 2007 by Panagiotis Verdes.
First built by Tony Fisher, Dec 2009
Video link
Puzzles with SIX cuts (12 or 13 layers)
Hexa
Face
F180+F150+F120+F90+F60+F30
6 cuts
12 layers
12x12x12 Cube
-
6F180+F150+F120+F90+F60+F30.jpg 6F180+F150+F120+F90+F60+F30_1turn.jpg 12x12x12.jpg First designed and built by Leslie Le, Nov 2009
Video link
Puzzles with EIGHT cuts (16 or 17 layers)
Hexa
Face
F172+F156+F140+F124+F108+F92+F76+F60
8 cuts
17 layers
17x17x17 Cube
-
17x17x17_twisted.jpg 17x17x17.jpg First designed and built by Oskar van Deventer, 2010-2011
Video link
Another video with checkered pattern
Last updated 1st of January 2013.