Other Constructions

Others have shown examples of convex objects where no single object can be translated away without disturbing the rest. Natarajan presented one with 16 triangular plates in 1988, Dawson presented this one with 12 skew prisms in 1984. (The holes are only for better viewing.)

Fejes-Toth and Heppes had presented this example (partially disassembled) of 12 tetrahedra in 1963. No tetrahedron can even be wiggled without disturbing the others. (Although a group of three can be translated away.)

Already in 1954, de Brijn knew that any set of convex objects could be exploded: taken apart with one hand per object.


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