What is a pentadedron?

Answer 1

A pentadedron, also known as a pentachoron or 5-cell, is a four-dimensional polytope that serves as the simplest example of a four-dimensional convex shape. It is the four-dimensional equivalent of a tetrahedron, consisting of five vertices, ten edges, and ten triangular faces. Each face of a pentadedron is a triangle, and it can be visualized as a collection of tetrahedra in four-dimensional space. This geometric figure is part of the broader study of polytopes in higher dimensions.