Title

More Than Fun and Games: Solving a Rubik’s Cube Using Matrices

Poster Number

21

Format

Poster Presentation

Abstract/Artist Statement

The childhood puzzle called the Rubik’s Cube is more than a simple toy. The puzzle was invented in 1974 by the Hungarian interior design artist Erno Rubik, and soon became a worldwide fascination of children and adults alike. However, the Rubik’s cube is more than a simple game; it is actually a very precise and advanced mathematical puzzle. This project aims to use mathematical tools to study and solve a 2x2x2 Rubik’s cube. Each possible variation of the cube can be represented by a 24x24 mathematical model known as a matrix, and by using matrix multiplication to represent possible rotations of the cube, the 2x2x2 Rubik’s cube can be solved given any starting state

Location

Callison Hall

Start Date

6-5-2006 10:00 AM

End Date

6-5-2006 12:00 PM

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May 6th, 10:00 AM May 6th, 12:00 PM

More Than Fun and Games: Solving a Rubik’s Cube Using Matrices

Callison Hall

The childhood puzzle called the Rubik’s Cube is more than a simple toy. The puzzle was invented in 1974 by the Hungarian interior design artist Erno Rubik, and soon became a worldwide fascination of children and adults alike. However, the Rubik’s cube is more than a simple game; it is actually a very precise and advanced mathematical puzzle. This project aims to use mathematical tools to study and solve a 2x2x2 Rubik’s cube. Each possible variation of the cube can be represented by a 24x24 mathematical model known as a matrix, and by using matrix multiplication to represent possible rotations of the cube, the 2x2x2 Rubik’s cube can be solved given any starting state