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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
36,888
elrog
E
Bruce MacKenzie
Cube3x3x3 source code
Replies
6
Views
325
abunickabhi
abunickabhi
Bruce MacKenzie
PLL Equivalence Classes
Replies
4
Views
423
Bruce MacKenzie
Bruce MacKenzie
zzoomer
Systems for referencing 3x3x3 states
Replies
10
Views
559
zzoomer
zzoomer
ray5
Some calculations on the PLL subgroup lattice
Replies
0
Views
200
ray5
ray5
X
Loopover god's number upper bounds: 4×4, asymptotics, etc.
2
Replies
32
Views
4,989
coolcomputery
coolcomputery
zzoomer
Groundbreaking discovery
2
Replies
22
Views
873
qwr
qwr
abunickabhi
Feasibility of really big 3x3 algsets like 1LLL and UF5
Replies
8
Views
561
Thom S.
Thom S.
GRVigo
How would you score solve movements?
Replies
6
Views
240
zzoomer
zzoomer
simontiger
What do you think the limit is for "beginners can figure it out"?
Replies
2
Views
322
qwr
qwr
CubesOfTheWorld
Probability Thread
85 86 87
Replies
1,731
Views
179,369
tsmosher
T
CubeExplorer
Error in the book discovered
Replies
14
Views
757
Bruce MacKenzie
Bruce MacKenzie
kubesolver
Non-explicit random state scrambles
Replies
2
Views
290
kubesolver
kubesolver
simontiger
My self-developed (almost) Master Pyraminx method
Replies
4
Views
500
simontiger
simontiger
X
Average Square-1 shape distances, for all shapes
Replies
4
Views
644
xyzzy
X
P
Theory of last Layer megaminx
Replies
0
Views
211
Platform
P
J
Combinations on other puzzles
2
Replies
25
Views
4,535
Matt11111
Matt11111
Athefre
Notation Based Reference System (NBRS): A standard for defining methods and states
2
Replies
25
Views
2,483
Julio974
Julio974
coolcomputery
Loopover NRG god's number upper and lower bounds
Replies
18
Views
993
coolcomputery
coolcomputery
S
Average scramble loop length
Replies
18
Views
588
kubesolver
kubesolver
Alex Shih
4x4 rU combinations
Replies
4
Views
458
rokicki
R
C
Hamiltonian circuit for the entire 2x2x2 cube group
2
Replies
37
Views
27,834
qwr
qwr
ray5
Restriction games with the cube (subgroups)
Replies
19
Views
1,026
ray5
ray5
qwr
Force between magnets
Replies
5
Views
548
qwr
qwr
abunickabhi
(N-1)D Nets of N dimensional cubes
Replies
4
Views
496
indev85
I
X
Kilominx God's number bounds
Replies
18
Views
3,675
rokicki
R
Stefan
Pseudo 3x3 shorter than 3x3?
Replies
12
Views
3,398
Christopher Mowla
Christopher Mowla
ray5
Why are the T Y and Jb perms related by cyclic shift?
Replies
11
Views
903
qwr
qwr
Tony Fisher
God's Ultimate Algorithm
Replies
15
Views
898
Tony Fisher
Tony Fisher
cmhardw
Big cube BLD - solved centers analysis
Replies
5
Views
914
Kit Clement
Kit Clement
abunickabhi
Yo notation for big cubes
Replies
1
Views
489
abunickabhi
abunickabhi
P
2x2x2 move count
Replies
17
Views
12,597
Michal Robaczyk
M
qwr
How much group theory do I need to know for twisty puzzles?
Replies
3
Views
609
qwr
qwr
Magmatic
Detecting early if 4x4 is in parity.
Replies
14
Views
1,580
Christopher Mowla
Christopher Mowla
carcass
  • Poll
Optimal Order for 2x2 to 7x7
Replies
5
Views
1,628
abunickabhi
abunickabhi
S
Drawing <M,U> algs to better learn them
Replies
19
Views
744
ray5
ray5
B
Bandaged cubes theoretical underpinning - groupoids - visualized
Replies
6
Views
659
qwr
qwr
S
Average Movecount for Square-1
Replies
4
Views
827
Sub1Hour
Sub1Hour
mDiPalma
[SIMPLE] LL Variant (Revamped 'Fish & Chips')
2
Replies
23
Views
5,932
trangium
trangium
S
Optimal scramble length for N-minx dodecahedrons
Replies
4
Views
333
abunickabhi
abunickabhi
Bruce MacKenzie
Using GAP with the 3x3x3 Cube
Replies
9
Views
910
abunickabhi
abunickabhi
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