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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
35,647
elrog
E
qwr
Force between magnets
Replies
5
Views
115
qwr
qwr
X
Loopover god's number upper bounds: 4×4, asymptotics, etc.
Replies
19
Views
2,884
xyzzy
X
coolcomputery
Loopover NRG god's number upper and lower bounds
Replies
0
Views
66
coolcomputery
coolcomputery
abunickabhi
(N-1)D Nets of N dimensional cubes
Replies
4
Views
220
indev85
I
X
Kilominx God's number bounds
Replies
18
Views
3,165
rokicki
R
Stefan
Pseudo 3x3 shorter than 3x3?
Replies
12
Views
3,004
Christopher Mowla
Christopher Mowla
ray5
Why are the T Y and Jb perms related by cyclic shift?
Replies
11
Views
520
qwr
qwr
Tony Fisher
God's Ultimate Algorithm
Replies
15
Views
485
Tony Fisher
Tony Fisher
CubesOfTheWorld
Probability Thread
83 84 85
Replies
1,699
Views
169,703
thelargeman2048
T
cmhardw
Big cube BLD - solved centers analysis
Replies
5
Views
523
Kit Clement
Kit Clement
abunickabhi
Feasibility of really big 3x3 algsets like 1LLL and UF5
Replies
4
Views
318
Filipe Teixeira
Filipe Teixeira
abunickabhi
Yo notation for big cubes
Replies
1
Views
316
abunickabhi
abunickabhi
Athefre
Notation Based Reference System (NBRS): A standard for defining methods and states
2
Replies
24
Views
1,622
RedstoneTim
RedstoneTim
J
Combinations on other puzzles
Replies
12
Views
3,493
Gnome
Gnome
P
2x2x2 move count
Replies
17
Views
12,366
Michal Robaczyk
M
qwr
How much group theory do I need to know for twisty puzzles?
Replies
3
Views
361
qwr
qwr
Magmatic
Detecting early if 4x4 is in parity.
Replies
14
Views
916
Christopher Mowla
Christopher Mowla
ray5
Restriction games with the cube (subgroups)
Replies
16
Views
591
qwr
qwr
carcass
  • Poll
Optimal Order for 2x2 to 7x7
Replies
5
Views
1,286
abunickabhi
abunickabhi
S
Drawing <M,U> algs to better learn them
Replies
19
Views
630
ray5
ray5
B
Bandaged cubes theoretical underpinning - groupoids - visualized
Replies
6
Views
336
qwr
qwr
S
Average Movecount for Square-1
Replies
5
Views
494
Silky
S
mDiPalma
[SIMPLE] LL Variant (Revamped 'Fish & Chips')
2
Replies
23
Views
5,114
trangium
trangium
S
Optimal scramble length for N-minx dodecahedrons
Replies
4
Views
247
abunickabhi
abunickabhi
Bruce MacKenzie
Using GAP with the 3x3x3 Cube
Replies
9
Views
783
abunickabhi
abunickabhi
N
How to generate ZZ-Blah Algs?
Replies
15
Views
1,022
cornee.smit
C
cuber314159
number of combinations in the yeet ball?
Replies
1
Views
314
Spacey10
Spacey10
campos20
A quicker way to reverse NISS a solved cube
Replies
0
Views
368
campos20
campos20
N
What makes a LL-Skip method a true LL-skip?
Replies
8
Views
559
xyzzy
X
qq280833822
Square one can be solved in 31 moves in face turn metric
Replies
5
Views
2,081
plutarch
P
X
Corner permutations generated by E perms
Replies
8
Views
629
pjk
pjk
Mr.Roux86
I recently finished my science experiment, and would like to share the results with you.
Replies
16
Views
982
JackJack13
JackJack13
J
Generate an algorithm to get from one state to another.
2
Replies
24
Views
2,307
N's-cvt
N
Dane man
Calculating Method/Substep Efficiency
2
Replies
27
Views
3,291
brododragon
brododragon
brododragon
I have a software idea
Replies
11
Views
760
Bruce MacKenzie
Bruce MacKenzie
A
How would a purpose-built "alg generator" program work?
Replies
2
Views
437
atmosopher
A
C
Is it possible to generate a solution with only clockwise turns?
Replies
10
Views
880
Billabob
B
T
Need Help with a math related idea! (Magic Square)
Replies
0
Views
477
thehappyapple
T
Christopher Mowla
Maximum Cyclic Order for 3x3x3 - nxnxn supercubes and the Megaminx
Replies
0
Views
865
Christopher Mowla
Christopher Mowla
Filipe Teixeira
Well known algs as commutators and conjugates
Replies
10
Views
1,677
Filipe Teixeira
Filipe Teixeira
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