Tetrahedron, Puzzle, Triangular Pyramid, Dissection, Four Pentahedra

#### Dissecting a Regular Tetrahedron into Four Congruent Pentahedra

The regular tetrahedron (a Platonic solid) can be dissected in multiple ways for a puzzle. In this project, a tetrahedron is sliced into four congruent pieces using two planes containing the midpoints of three edges (see figure below). Each piece is a pentahedron with two equilateral triangles, two right triangles, and a rhombus. You would need 4 copies for a tetrahedral puzzle.

This can be used as a entry project to