All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Shapes
Puzzles involving various geometric shapes, in a flat plane and in three-dimensional space.
Sub-Categories (All Problem Categories)
> Geometry

It's pretty simple to see that you can reach any possible configuration of a Rubik's cube (check Wikipedia if you're not sure what that is!) with just six basis operations. Namely, a counterclockwise quarter rotation around each of the axes: +x,-x,+y,-y,+z,-z.

But perhaps all six operations aren't necessary, so that it is possible to reach the same configuration following from a turn around +x by some combination of turns around the other five faces?

Explain why rotations around all six faces are independent or, alternatively, come up with a sequence of rotations about -x,+y,-y,+z,-z which mimic the effect of a rotation about +x.

(No Solution Yet, 0 Comments) Submitted on 2019-05-23 by FrankM   
Page 2 of 31   << prev next >>    
Difficulty: 3 of 5A pet ant |
Posted on 2018-08-31 by Jer (No Solution Yet, 3 Comments)
Difficulty: 4 of 5Ant highway |
Posted on 2018-08-17 by Jer (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Tippy table |
Posted on 2018-08-14 by Jer (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Squares in a Square | Rating: 5.00
Posted on 2018-08-01 by Charlie (Solution Posted, 3 Comments)
Difficulty: 5 of 5Oh-oh Domino | Rating: 5.00
Posted on 2018-07-06 by Steven Lord (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Quadrilateral fill in the blank |
Posted on 2018-01-25 by Jer (No Solution Yet, 2 Comments)
Difficulty: 1 of 5Triangle in a triangle |
Posted on 2017-08-28 by Jer (No Solution Yet, 4 Comments)
Difficulty: 4 of 5Planks across a ditch | Rating: 4.00
Posted on 2017-08-17 by Jer (No Solution Yet, 4 Comments)
Difficulty: 4 of 5Ellipse in a Truncated Triangle |
Posted on 2017-08-13 by Brian Smith (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Seven Region Partition |
Posted on 2017-05-27 by Brian Smith (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Seven Point Placement | Rating: 4.00
Posted on 2017-05-20 by Brian Smith (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Sticks in a Cube |
Posted on 2017-04-11 by Brian Smith (No Solution Yet, 3 Comments)
Difficulty: 2 of 5 Elongated Pentagonal Orthocupola's vertices |
Posted on 2017-03-20 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5A Square Slab and a Cube |
Posted on 2017-03-12 by Brian Smith (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Staircases in a Cube |
Posted on 2017-03-10 by Brian Smith (No Solution Yet, 1 Comments)
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information