## From the Pentagon Inequality to the Poincaré Universe

“Some scientists make us believe, we are living in a flat grainy pancake universe. But where would then the symmetries come from?” The video shows discrete space grid known as cubic lattice Z5 in 3D animated geometry. It serves as a model in (quasi-) crystallography to examine higher-dimensional space in terms of the orthogonality graph in the form of a pentagram. With this newly discovered hyper-Platonic solid, a space cell of grid Z5 : the Epitahedron (E±).- found by Renate [...]