Question

Suppose two pyramids are tangent to each other if they have no common interior points and they intersect in a non-degenerate planar polygon. Is it possible for 8 pyramids in space to all be tangent to each other?
A. Angeles

Combinatorics -> Combinatorial Geometry Proof and Example -> Constructing an Example / Counterexample Geometry -> Solid Geometry / Geometry in Space -> Polyhedra

Sources:

Tournament of Towns, 1980-1981, Spring, Main Version, Grades 11-12 Question 1 Points 7

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