Roll a Sphere without Changing Orientation to a New Location in Two Straight Rolls
Roll a Sphere without Changing Orientation to a New Location in Two Straight Rolls
A sphere can be moved to any location with no net change in orientation by rolling without slipping in two straight-line rolls. Rolling a sphere in a straight line a distance of , where is any integer, returns the sphere to its initial orientation. By combining two such rolls, the sphere can be moved to any location.
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2πn
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