NL-NWO 1987 Problem 4
On each side of a regular tetrahedron with edges of length one constructs exactly such a tetrahedron. This creates a dodecahedron with vertices and edges. We imagine that the dodecahedron is hollow. Calculate the length of the largest line segment that fits entirely within this dodecahedron.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.