Solids of constant width

A set of 3 solids of constant width, made from solid aluminium, with a width of 35mm.

These mathematical curiosities have some intriguing properties. For example, if you place the set of 3 solids on a flat surface and place a book on top of them, you will be able to slide the book in any direction completely smoothly, without any up or down movement. Onlookers might think that only 3 spheres would be able to do this, but solids of constant width can behave in the same way. Whichever way you roll them, their width is always the same.

See http://www.grand-illusions.com/acatal...

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