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Topic: Deformable platonic "solids"
Replies: 23   Last Post: Mar 12, 2013 8:11 PM

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Frederick Williams

Posts: 2,164
Registered: 10/4/10
Deformable platonic "solids"
Posted: Feb 27, 2013 2:21 PM
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Suppose the platonic solids aren't solid at all but are made of rigid
line segments with completely flexible hinges at the vertices. The cube
can be flattened into a... um... non cube. The tetrahedron, octahedron
and icosahedron cannot be deformed at all. But what about the
dodecahedron, can it be deformed?
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting

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