Coloring the Plane with a Rolling Cube

The faces of a cube are colored green, brown, blue, black, yellow, and red. (At the start in the bottom left-hand corner, the bottom color is red.) The cube rolls on its edges from one square to another in the grid, coloring a square according to the color of the face of the cube that lands on it. What is the color of the last square?

External Links

Cube (Wolfram MathWorld)
Hexagonal Pattern Made of Tetrahedra
Rolling a Cube on a Chessboard

Permanent Citation

Izidor Hafner
​
​"Coloring the Plane with a Rolling Cube"​
​http://demonstrations.wolfram.com/ColoringThePlaneWithARollingCube/​
​Wolfram Demonstrations Project​
​Published: March 20, 2013