Self-righting object - the Gomboc

Re:Self-righting object - the Gomboc by pg on Sunday December 09, 2007 @05:26PM (#87516)

The site says there are an infinite number of shapes with these properties. Anyone know if there are any that look dramatically different from theirs?

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Re:Self-righting object - the Gomboc by ivankirigin on Sunday December 09, 2007 @08:22PM (#87564)

quantify different and I'm sure they can find it

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Re:Self-righting object - the Gomboc by DaniFong on Monday December 10, 2007 @02:45AM (#87677)

How about scaling each shape to the unit volume, and then rotating to maximize the overlap. What's not overlapping is the shape delta.

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Re:Self-righting object - the Gomboc by pg on Monday December 10, 2007 @04:15AM (#87705)

With a different number of surfaces, for example?

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Re:Self-righting object - the Gomboc by ivankirigin on Monday December 10, 2007 @10:39AM (#87807)

Surface as defined by a non-differentiable border, sure. Topological differences could be easy to quantify. Extra points for knots and non-orientable surfaces (e.g. a klein bottle).

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