The Ultimate Magic Cube Project

This page is by nature continually under construction. Right now I'm working on giving it a new look, to see it, check out the Graphical Index!

I learned to solve the Rubik's cube in the same way that many new solvers learn these days, that is, I learned someone else's solution. Like most cube solutions, it relied on memorized move sequences to finish some parts. I didn't really like such memorization because it made me feel like I had "cheated", and moreover, what if I were to not solve for cube for ten or twenty years, then one day see one and try to solve it? Surely I wouldn't remember such sequences!

More than two years after first learning to solve the cube, I finally learned methods by which one can solve a Rubik's cube, and other similar puzzles, without any need for memorization. Since then I have been working on solving many new types of twisty puzzle using such concepts, and I've written walkthroughs on many of them.

Introduction
Puzzle Classification Terminology
Common Name Index
Universal Notation

Puzzles -- Graphical Index

Fundamental Tetrahedra [Standard Notation is UFRL]
Vertex Cut Type A Order 1 Order N --- ---
Type B Order 3 Order 4 Order 5 Order N
Type C Order 2 Order 3 Order N ---
Edge Cut Type A Order 1 Order 2 Order N ---
Type B Order 2 Order 3 Order 4 Other N
Type C Order 2 Order 3 Order 4 Order N

Combination Tetrahedra
Vertex Cut Type AB Order 1 Order 2

Fundamental Hexahedra
Face Cut Type A Order 2 Order 3 Order 4 Order N
Vertex Cut Type A Order 1 Order N --- ---
Type B Order 1 Order 2 Order 3 Order N
Type C Order 2 Order 3 Order 4 Order N
Edge Cut Type A Order 2 Order 3 Order 4 Order N
Type B Order 1 Order 2 Order 3 Order N
Type C Order 1 Order 3 Order N ---
Type D Order 2 Order 4 Order N ---

Combination Hexahedra
Vertex Cut Type AB Order 1 Order 2
Edge Cut Type AB Order 1 ---
Type BC Order 1 ---
Type CD Order 1 ---

Dihybrid Hexahedra (currently only Polyfeatrics with Fundamental parents)
Strong FA2EA2 FA3EA3 FA4EA4 FAnEAn
FA3EB1 FA4EB2 FAn+2EBn ---
FA2ED4 FAnED2n --- ---
VA1EA2 VAnEAn+1 --- ---
VB1ED2 VBnED2n --- ---
VC2EA2
Uniform FA2VA1 --- --- ---
FA2VB1 FA4VB2 FA2nVBn ---
FA2VB2 --- --- ---
FA2VC2 FA4VC3 FA2nVCn+1 ---
FA2ED2 FA3ED4 FAn+1ED2n ---
VB1EA2 --- --- ---
VB2EB1

Fundamental Octahedra
Face Cut Type A Order 2 Order 3 Order 4 Order N
Type B Order 2 Order 3 Order 4 Order N
Vertex Cut Type A Order 3 Order 4 Order 5 Order N
Type B* Order 3 Order 5 Order N ---
Edge Cut Type A Order 1
Type B Order 1
Type C Order 1
Type D
Type E
*Octa VB4 is Octa VB3VHC, etc

Other Articles
The Skewb Family
Symmetry and Duality
Period 2 Turns and Orbits