All Questions
Tagged with optimization mechanical-puzzles
8
questions
4
votes
2
answers
3k
views
Shortest algorithm to rotate 2 corners on a Rubik's Cube
I'm looking for the shortest algorithm to rotate 2 corners without rearranging any other pieces location or orientation. For example, turning the Top-Front-Right corner clockwise and the Top-Front-...
- 79
2
votes
1
answer
768
views
Shortest Algorithm to flip 2 edges on a Rubik's cube
I'm looking for the shortest algorithm to flip 2 edges without rearranging any other pieces location or orientation. For example, flipping the Top-Front edge and the Top-Right edge. My current best is ...
- 79
8
votes
0
answers
277
views
Doubling the cube with rational Meccano strips
In three monographs published in 2006, 2008 and 2014 Gerard 't Hooft considered "Meccano mathematics": how to construct specified distances and regular polygons by a rigid system of ideal ...
- 7,820
6
votes
2
answers
264
views
Most polyominoes on a Rubik's cube
What is the most number of distinct free polyominoes you can form on the faces of a standard 3x3x3 Rubik's cube? Here a polyomino is considered as a set of orthogonally-adjacent cells of the same ...
- 36.3k
9
votes
8
answers
4k
views
Puzzle similar to 15-puzzle but more moveable pieces?
In the name of Science!™, I'm trying to look for (or, in the worst case, create) a puzzle/game similar to the n-puzzle whereby a player or player(s) have to put some pieces in a particular order (e.g. ...
- 199
27
votes
2
answers
3k
views
The tilted labyrinth - Can you find the fastest path in this 3D-puzzle? (Simulator now included.)
This is a puzzle was inspired by the board game labyrinth, which I very much enjoyed as a kid.
It either requires very good 3D-visualization skills in your brain or some paper & scissors work. (...
- 18.2k
6
votes
1
answer
12k
views
Maximal number of steps needed to solve 2x2x2 Rubik's Cube
What is the maximal number of steps that a computer (using the fastest algorithm) would need to solve an arbitrary 2x2x2 Rubik's Cube configuration?
Are there any other known algorithms that will ...
- 16.3k
27
votes
0
answers
2k
views
Is there a move-efficient way to rotate the center pieces on the Octo-Star?
I'm looking for a more efficient algorithm to rotate the center column of the Octo-Star puzzle 45 degrees.
The situation below occurs when four properly-oriented edges are next to each other, ...
user20