MathDB
Classical tetrahedron maximisation problem

Source: ICMC 7 Round 1 Problem 4

January 8, 2024
geometry3D geometryICMC

Problem Statement

Points A,B,C,A, B, C, and DD{} lie on the surface of a sphere with diameter 1. Determine the maximum possible volume of tetrahedron ABCD.ABCD.
Proposed by Fredy Yip