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Puzzle Theory

Non-speed related puzzle discussion goes here: Group theory, mathematics, fewest moves and similar are discussed in "Puzzle Theory".
blade740
  • Sticky
God's number proven at 20
4 5 6
Replies
107
Views
37,673
elrog
E
CubesOfTheWorld
Probability Thread
88 89 90
Replies
1,797
Views
187,998
xyzzy
X
K
God's Number for CFOP and Roux
2
Replies
26
Views
731
Manxkiwi
Manxkiwi
X
Loopover god's number upper bounds: 4×4, asymptotics, etc.
2
Replies
35
Views
6,161
coolcomputery
coolcomputery
N
Decompose algorithms in commutator notation
Replies
10
Views
578
Luke Solves Cubes
Luke Solves Cubes
zzoomer
Systems for referencing 3x3x3 states
Replies
11
Views
1,212
1001010101001
1001010101001
Bruce MacKenzie
Cube3x3x3 source code
Replies
6
Views
792
abunickabhi
abunickabhi
Bruce MacKenzie
PLL Equivalence Classes
Replies
4
Views
822
Bruce MacKenzie
Bruce MacKenzie
ray5
Some calculations on the PLL subgroup lattice
Replies
0
Views
477
ray5
ray5
zzoomer
Groundbreaking discovery
2
Replies
22
Views
1,422
qwr
qwr
abunickabhi
Feasibility of really big 3x3 algsets like 1LLL and UF5
Replies
8
Views
686
Thom S.
Thom S.
GRVigo
How would you score solve movements?
Replies
6
Views
479
zzoomer
zzoomer
simontiger
What do you think the limit is for "beginners can figure it out"?
Replies
2
Views
500
qwr
qwr
CubeExplorer
Error in the book discovered
Replies
14
Views
1,000
Bruce MacKenzie
Bruce MacKenzie
kubesolver
Non-explicit random state scrambles
Replies
2
Views
523
kubesolver
kubesolver
simontiger
My self-developed (almost) Master Pyraminx method
Replies
4
Views
814
simontiger
simontiger
X
Average Square-1 shape distances, for all shapes
Replies
4
Views
837
xyzzy
X
J
Combinations on other puzzles
2
Replies
25
Views
5,034
Matt11111
Matt11111
Athefre
Notation Based Reference System (NBRS): A standard for defining methods and states
2
Replies
25
Views
2,946
Julio974
Julio974
coolcomputery
Loopover NRG god's number upper and lower bounds
Replies
18
Views
1,227
coolcomputery
coolcomputery
S
Average scramble loop length
Replies
18
Views
778
kubesolver
kubesolver
Alex Shih
4x4 rU combinations
Replies
4
Views
685
rokicki
R
C
Hamiltonian circuit for the entire 2x2x2 cube group
2
Replies
37
Views
29,132
qwr
qwr
ray5
Restriction games with the cube (subgroups)
Replies
19
Views
1,250
ray5
ray5
qwr
Force between magnets
Replies
5
Views
795
qwr
qwr
abunickabhi
(N-1)D Nets of N dimensional cubes
Replies
4
Views
697
indev85
I
X
Kilominx God's number bounds
Replies
18
Views
3,978
rokicki
R
Stefan
Pseudo 3x3 shorter than 3x3?
Replies
12
Views
3,619
Christopher Mowla
Christopher Mowla
ray5
Why are the T Y and Jb perms related by cyclic shift?
Replies
11
Views
1,143
qwr
qwr
Tony Fisher
God's Ultimate Algorithm
Replies
15
Views
1,228
Tony Fisher
Tony Fisher
cmhardw
Big cube BLD - solved centers analysis
Replies
5
Views
1,151
Kit Clement
Kit Clement
abunickabhi
Yo notation for big cubes
Replies
1
Views
629
abunickabhi
abunickabhi
P
2x2x2 move count
Replies
17
Views
12,850
Michal Robaczyk
M
qwr
How much group theory do I need to know for twisty puzzles?
Replies
3
Views
777
qwr
qwr
Magmatic
Detecting early if 4x4 is in parity.
Replies
14
Views
2,024
Christopher Mowla
Christopher Mowla
carcass
  • Poll
Optimal Order for 2x2 to 7x7
Replies
5
Views
1,906
abunickabhi
abunickabhi
S
Drawing <M,U> algs to better learn them
Replies
19
Views
789
ray5
ray5
B
Bandaged cubes theoretical underpinning - groupoids - visualized
Replies
6
Views
935
qwr
qwr
S
Average Movecount for Square-1
Replies
4
Views
1,016
Sub1Hour
Sub1Hour
mDiPalma
[SIMPLE] LL Variant (Revamped 'Fish & Chips')
2
Replies
23
Views
6,409
trangium
trangium
S
Optimal scramble length for N-minx dodecahedrons
Replies
4
Views
419
abunickabhi
abunickabhi
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