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Frucht Twist
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A twisty puzzle without any symmetry and based on a very strange graph.

Frucht Twist is based on an idea by Melinda Green who wanted to see a twisty puzzle with no overall symmetry. Her friend Don Hatch realized there must exist such a minimal graph producing a puzzle with 3-color corners, and he quickly found the Frucht graph. He then used his computer to distribute the twelve vertices of the Frucht graph over a sphere, such that all adjactent points are at a unit distance, and all non-adjactent ones are at least a sqrt(2) times a unit. These twelve points are now the rotation centers of this twisty puzzle. The puzzle has twelve centers, eighteen edges and thirty corners.
Image 12 shows the Frucht graph projected on a sphere.
Edge length: 30 mm
Weight: 186 grams



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