Problem #10

How many different types of (non-degenerate) polyhedra can be obtained by intersecting two tetrahedra?

Note: The tetrahedra are not necessarily regular.

Source: sci.math

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Note: The intersection can have between four and eight faces (inclusive). There are 257 types of polyhedra with 8 faces, 34 with 7 faces, 7 with 6 faces, 2 with 5 faces, and 1 with 4 faces, but not all of these can occur. Click on the following to obtain a list of polyhedra.

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