Pentachoron

In geometry a Pentachoron is an object in four-dimensional (4D) space. It is a regular polytope and a 4-simplex. It is also called hyperpyramid, 5-cell or pentatope. It has 5 points, 10 edges, 10 faces, and 5 cells. Cells are the four dimensional equivalent of faces. just like how a face is a 2d shape on a 3d shape, a cell is a 3d shape on a 4d one. 

Each cell in the pentachoron is a tetrahedron. 

Each of the pentachoron's points are connected to every other point in it. 

The Dual polytope of the pentachoron is itself. 

The biggest 3d view of the pentachoron is a triangular prism.

Category:Shapes