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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
36,129
elrog
E
CubesOfTheWorld
Probability Thread
85 86 87
Replies
1,727
Views
173,804
xyzzy
X
J
Combinations on other puzzles
2
Replies
25
Views
4,004
Matt11111
Matt11111
Athefre
Notation Based Reference System (NBRS): A standard for defining methods and states
2
Replies
25
Views
1,981
Julio974
Julio974
coolcomputery
Loopover NRG god's number upper and lower bounds
Replies
18
Views
766
coolcomputery
coolcomputery
S
Average scramble loop length
Replies
18
Views
366
kubesolver
kubesolver
X
Loopover god's number upper bounds: 4×4, asymptotics, etc.
2
Replies
30
Views
3,950
coolcomputery
coolcomputery
X
Average Square-1 shape distances, for all shapes
Replies
1
Views
236
Lucas Garron
Lucas Garron
Alex Shih
4x4 rU combinations
Replies
4
Views
233
rokicki
R
C
Hamiltonian circuit for the entire 2x2x2 cube group
2
Replies
37
Views
26,794
qwr
qwr
ray5
Restriction games with the cube (subgroups)
Replies
19
Views
826
ray5
ray5
qwr
Force between magnets
Replies
5
Views
318
qwr
qwr
abunickabhi
(N-1)D Nets of N dimensional cubes
Replies
4
Views
385
indev85
I
X
Kilominx God's number bounds
Replies
18
Views
3,355
rokicki
R
Stefan
Pseudo 3x3 shorter than 3x3?
Replies
12
Views
3,169
Christopher Mowla
Christopher Mowla
ray5
Why are the T Y and Jb perms related by cyclic shift?
Replies
11
Views
653
qwr
qwr
Tony Fisher
God's Ultimate Algorithm
Replies
15
Views
671
Tony Fisher
Tony Fisher
cmhardw
Big cube BLD - solved centers analysis
Replies
5
Views
664
Kit Clement
Kit Clement
abunickabhi
Feasibility of really big 3x3 algsets like 1LLL and UF5
Replies
4
Views
362
Filipe Teixeira
Filipe Teixeira
abunickabhi
Yo notation for big cubes
Replies
1
Views
388
abunickabhi
abunickabhi
P
2x2x2 move count
Replies
17
Views
12,431
Michal Robaczyk
M
qwr
How much group theory do I need to know for twisty puzzles?
Replies
3
Views
410
qwr
qwr
Magmatic
Detecting early if 4x4 is in parity.
Replies
14
Views
1,145
Christopher Mowla
Christopher Mowla
carcass
  • Poll
Optimal Order for 2x2 to 7x7
Replies
5
Views
1,414
abunickabhi
abunickabhi
S
Drawing <M,U> algs to better learn them
Replies
19
Views
680
ray5
ray5
B
Bandaged cubes theoretical underpinning - groupoids - visualized
Replies
6
Views
425
qwr
qwr
S
Average Movecount for Square-1
Replies
5
Views
631
Silky
S
mDiPalma
[SIMPLE] LL Variant (Revamped 'Fish & Chips')
2
Replies
23
Views
5,399
trangium
trangium
S
Optimal scramble length for N-minx dodecahedrons
Replies
4
Views
286
abunickabhi
abunickabhi
Bruce MacKenzie
Using GAP with the 3x3x3 Cube
Replies
9
Views
838
abunickabhi
abunickabhi
N
How to generate ZZ-Blah Algs?
Replies
15
Views
1,156
cornee.smit
C
cuber314159
number of combinations in the yeet ball?
Replies
1
Views
360
Spacey10
Spacey10
campos20
A quicker way to reverse NISS a solved cube
Replies
0
Views
408
campos20
campos20
N
What makes a LL-Skip method a true LL-skip?
Replies
8
Views
597
xyzzy
X
qq280833822
Square one can be solved in 31 moves in face turn metric
Replies
5
Views
2,172
plutarch
P
X
Corner permutations generated by E perms
Replies
8
Views
661
pjk
pjk
Mr.Roux86
I recently finished my science experiment, and would like to share the results with you.
Replies
16
Views
1,112
JackJack13
JackJack13
J
Generate an algorithm to get from one state to another.
2
Replies
24
Views
2,451
N's-cvt
N
Dane man
Calculating Method/Substep Efficiency
2
Replies
27
Views
3,533
brododragon
brododragon
brododragon
I have a software idea
Replies
11
Views
797
Bruce MacKenzie
Bruce MacKenzie
A
How would a purpose-built "alg generator" program work?
Replies
2
Views
491
atmosopher
A
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