Rotation in four-dimensional space

https://youtu.be/R1rzI0Y_d3I
The 5-cell is an analog of the tetrahedron.

https://youtu.be/BjvdrhK8yws
Tesseract is a four-dimensional hypercube - an analog of a cube.

https://youtu.be/Pa0c7M4lZv0
The 16-cell is an analog of the octahedron.

https://youtu.be/np0ZxC1wXqc
The 24-cell is one of the regular polytope.

https://youtu.be/T01qw0_qitI
A hypersphere is a hypersurface in an n-dimensional Euclidean space formed by points equidistant from a given point, called the center of the sphere.