# Coloring the Plane with a Rolling Cube

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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?

Contributed by: Izidor Hafner (March 2013)

Open content licensed under CC BY-NC-SA

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"Coloring the Plane with a Rolling Cube"

http://demonstrations.wolfram.com/ColoringThePlaneWithARollingCube/

Wolfram Demonstrations Project

Published: March 20 2013