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Four-legged stool


Best Answer plasmid, 17 June 2014 - 03:35 PM

Spoiler for

Edit: This assumes that the legs of the stool form a square. Determining whether it applies if the legs are in any other orientation is left as an exercise for the reader. Go to the full post


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#11 bonanova

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Posted 18 June 2014 - 04:25 AM

Plasmid's observation is a necessary condition. If the stool / table has legs of differing lengths it will rock on a planar surface / floor, and no amount of rotation will make it steady. But if the ends form a square, then, for an uneven floor, a rotation of less than 90 degrees will bring about a stable condition, without translation.
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