Two Regular Triangular Pyramids
Source: 1996 National High School Mathematics League, Exam One, Problem 10
March 4, 2020
geometry3D geometrypyramid
Problem Statement
Give two congruent regular triangular pyramids, stick their bottom surfaces together. Then ,it becomes a hexahedron with all dihedral angles equal. The length of the shortest edge of the hexahedron is . Then, the furthest distance between two vertexes is________.