Add to ORKGGiven a 3x3x3 mirror cube, we find the number of valid and distinct projections up to and including three 90° turns. Next, we calculate the number of valid permutations of the traditional 3x3x3 Rubik's cube such that it has at least one, two, three, four, five or six faces with the same colour. We then return to the mirror cube and find improved upper bounds for the number of distinct projections.Science, Faculty ofUnreviewedUndergraduat
43; 252; 003; 274; 489; 856; 000 possible positions of Rubik's cube, which is too many to exhau...
Euclidean Ramsey theory is examining konfigurations of points, for which there exists n such that fo...
AbstractSuppose a complex has a fixed number of r-dimensional faces. How many s-dimensional faces ca...
AbstractIt is known that a general polyhedral scene of complexity n has at most O(n6) combinatoriall...
With the aid of a small computer belonging to one of us, we have worked out many properties of the f...
Consider a cube floating in space: how many unique ways can we color that cube with two colors uniqu...
The Rubiks cube is a special game and a very particular puzzle. The 3-dimensional cube is made up of...
Graduation date: 2010Geometric Problems become increasingly intractable and difficult to visualize a...
Consider an n× n× n cube Q consisting of n 3 unit cubes. A tripod of order n is obtained by taking t...
Abstract. The Rubik’s Cube is perhaps the world’s most famous and iconic puzzle, well-known to have ...
How many moves does it take to solve Rubik’s Cube? Positions are known that require 20 moves, and it...
The Rubik\u27s cube is a solid block of twenty seven cubes, linked together so that each layer can b...
AbstractStart with a collection of cubes and a palette of six colors. We paint the cubes so that eac...
When a strictly convex plane set S moves by translation, the set J of points of the integer lattice ...
AbstractGiven a closed n-dimensional cube in Euclidean n-space En, a box is (by definition) a closed...
43; 252; 003; 274; 489; 856; 000 possible positions of Rubik's cube, which is too many to exhau...
Euclidean Ramsey theory is examining konfigurations of points, for which there exists n such that fo...
AbstractSuppose a complex has a fixed number of r-dimensional faces. How many s-dimensional faces ca...
AbstractIt is known that a general polyhedral scene of complexity n has at most O(n6) combinatoriall...
With the aid of a small computer belonging to one of us, we have worked out many properties of the f...
Consider a cube floating in space: how many unique ways can we color that cube with two colors uniqu...
The Rubiks cube is a special game and a very particular puzzle. The 3-dimensional cube is made up of...
Graduation date: 2010Geometric Problems become increasingly intractable and difficult to visualize a...
Consider an n× n× n cube Q consisting of n 3 unit cubes. A tripod of order n is obtained by taking t...
Abstract. The Rubik’s Cube is perhaps the world’s most famous and iconic puzzle, well-known to have ...
How many moves does it take to solve Rubik’s Cube? Positions are known that require 20 moves, and it...
The Rubik\u27s cube is a solid block of twenty seven cubes, linked together so that each layer can b...
AbstractStart with a collection of cubes and a palette of six colors. We paint the cubes so that eac...
When a strictly convex plane set S moves by translation, the set J of points of the integer lattice ...
AbstractGiven a closed n-dimensional cube in Euclidean n-space En, a box is (by definition) a closed...
43; 252; 003; 274; 489; 856; 000 possible positions of Rubik's cube, which is too many to exhau...
Euclidean Ramsey theory is examining konfigurations of points, for which there exists n such that fo...
AbstractSuppose a complex has a fixed number of r-dimensional faces. How many s-dimensional faces ca...