Puzzle Theory

Non-speed related puzzle discussion goes here: Group theory, mathematics, fewest moves and similar are discussed in "Puzzle Theory".
moonexe
Applying commutators? (intuitive solving)
Replies
7
Views
2,038
MarcelP
MarcelP
whauk
what is the smallest symmetric group that contains the cube group as a subgroup?
Replies
3
Views
3,855
cuBerBruce
C
mark49152
Edges and corners independent?
Replies
9
Views
1,538
Kirjava
Kirjava
Ravi
NxN corner rotation puzzle
2
Replies
23
Views
19,440
Stefan
Stefan
peterbone
Is 20 turns enough for a scramble?
2 3
Replies
48
Views
9,601
TMOY
T
caveman
Is there a cube with quaternionic (Q8) symmetry?
Replies
2
Views
2,585
TMOY
T
C
First center on 5x5x5
Replies
6
Views
2,335
cuBerBruce
C
C
A Hamiltonian circuit for Rubik's Cube!
2 3 4
Replies
60
Views
39,120
cuBerBruce
C
Christopher Mowla
Number of cases for 3 Cycles of Wing Edges in Last Layer (K4 Method)
2
Replies
33
Views
13,073
cuBerBruce
C
J
How does an alg affect the cube? (Full and complete answer please)
2
Replies
23
Views
5,774
qqwref
qqwref
S
Algorithm Simplification?
Replies
15
Views
4,537
siva.shanmukh
siva.shanmukh
G
Orbit of sequence of cube moves determined... by the cube itself
Replies
3
Views
3,493
cuBerBruce
C
IQubic
Random 20 move scramble
2 3
Replies
49
Views
10,101
IQubic
IQubic
S
Calculating Permutations on nxnxn Rubik's cube
2
Replies
34
Views
40,829
mrCage
mrCage
R
Find distance-24 (QTM) or greater position?
Replies
0
Views
1,301
rokicki
R
qqwref
Triangular Francisco Method (for 3x3)
Replies
17
Views
17,156
Swordsman Kirby
S
N
Finger-trick Optimal Algorithm Finder
Replies
7
Views
3,153
Lucas Garron
Lucas Garron
S
3x3x3 Rubik's cube permutations
Replies
7
Views
2,981
Christopher Mowla
Christopher Mowla
S
One Million Random Twenty-Four Puzzle Instances in the STM metric
Replies
11
Views
5,860
stannic
S
Solve
Decadecaflexagon and Group theory
Replies
16
Views
4,912
stannic
S
siva.shanmukh
Smallest Identity Maneuver
Replies
12
Views
3,523
siva.shanmukh
siva.shanmukh
S
Are there local maxima in the number of moves required to solve a Rubik's Cube?
2
Replies
27
Views
5,601
Nils
N
Christopher Mowla
New Two-Corner Swap Algorithm Technique for Big Even Cubes (PLL Parity)
2
Replies
37
Views
28,776
Nils
N
T
Reverse scrambles
Replies
8
Views
5,461
TMOY
T
S
STM God's Number?
Replies
5
Views
3,097
Herbert Kociemba
Herbert Kociemba
Christopher Mowla
What Percentage of Configurations of the Cube Are Acceptable Scrambles?
Replies
0
Views
2,011
Christopher Mowla
Christopher Mowla
Christopher Mowla
Is a SuperCube Safe Single Dedge Flip Algorithm Possible in <U, Rw>?
Replies
6
Views
4,793
Christopher Mowla
Christopher Mowla
C
Inaccuracy of scrambling using a random sequence of moves
2
Replies
32
Views
8,419
Chrisalead
Chrisalead
Christopher Mowla
Supercube centers and odd parity
2
Replies
21
Views
14,410
Christopher Mowla
Christopher Mowla
A
Rubik's Cube and Cryptography
Replies
0
Views
1,613
anders
A
C
About the number of permutations of MC4D calculating
Replies
0
Views
1,549
charliemckiz
C
D
World record formula for nxnxn cubes
Replies
15
Views
11,726
Godmil
Godmil
C
Discovery of higher dimensions rubik's cube
Replies
2
Views
2,299
qqwref
qqwref
siva.shanmukh
Maneuver and its Inverse (question)
Replies
12
Views
3,691
mariano.aquino
M
whauk
normal subgroups
Replies
2
Views
2,087
TMOY
T
rubiksarlen
Trick: swapping 2 edges (only) on a 3x3
Replies
12
Views
16,292
chardison1980
chardison1980
C
2 PLLs faster than 1?
Replies
1
Views
2,469
oll+phase+sync
oll+phase+sync
D
why parity?
2 3
Replies
41
Views
12,553
Forte
Forte
C
Devil Algorithm for 2x2x2 (R U moves)
Replies
12
Views
14,221
Cubemir
C
shelley
Reversing moves game
Replies
2
Views
1,671
qqwref
qqwref
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