Coloring the Plane with a Rolling Tetrahedron

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The faces of a tetrahedron are colored red, green, blue, and black. (In the graphic, the bottom color is black.) The tetrahedron rolls on its edges from one triangle on the triangular grid to another. A triangle in the grid is colored according to the color of the face that lands on it. What is the color of the last triangle?

Contributed by: Izidor Hafner (February 2013)
Open content licensed under CC BY-NC-SA



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