This video is an entry for
the Breakthrough Junior Challenge 2015 which gives a unique visualization of
Special Relativity using hyperbolic geometry. I liked the idea of making a
video on Special Relativity because I had already explored the use of M.C.
Escher’s woodcut Circle Limit III as a teaching tool for explaining the
hyperbolic geometry of Minkowski spacetime.

The very main intuition is that the principle of Special Relativity asserts that the manifold of frames of reference is homogeneous and isotropic, and there are just exactly three geometries associated with this: Sphere (which exists as rotations through the space), Plane (which represents Galilean Relativity) and the Hyperbolic Plane (which exists as rotations through spacetime). So watch and Learn:

The very main intuition is that the principle of Special Relativity asserts that the manifold of frames of reference is homogeneous and isotropic, and there are just exactly three geometries associated with this: Sphere (which exists as rotations through the space), Plane (which represents Galilean Relativity) and the Hyperbolic Plane (which exists as rotations through spacetime). So watch and Learn: