The classical convex polytopes may be considered tessellations, or tilings, of spherical space. There are six improper regular tessellations, pairs based on the three regular Euclidean tilings. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Voronoi tessellations of the reciprocal lattice of momenta are called Brillouin zones. The Alhambra zellige are said to have inspired the tessellations of M. C. Escher. Geometric designs feature themes both inorganic and abstract such as tessellations. Euclidean regular tessellations in any number of dimensions. There are no Euclidean regular star tessellations in any number of dimensions. There are eighteen two-parameter families of regular compound tessellations of the Euclidean plane. It is one of four regular tessellations in the hyperbolic 3-space. In a similar manner, one can consider regular tessellations of the hyperbolic plane. These feature impossible constructions, explorations of infinity, architecture and tessellations. Thirdly, they may use mathematical objects such as tessellations to decorate buildings. The three regular tessellations of the plane are closely related to the Platonic solids. Di-4-topes and hoso-4-topes exist as regular tessellations of the 3-sphere.