There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the second, analogous to the octahedro...

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the first, the pentachoron or hyperp...

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the sixth, the hypericosahedron, with...

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the second, analogous to the octahedr...

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the fifth, the hyperdodecahedron, a re...

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This one is the odd polytope out, the one wi...

Another projection of the 4-dimensional hypercube, this one close to vertex-centered. I love the shape of its hull: almost a rhombic dodecahedron,...

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the fifth, the hyperdodecahedron, a r...