Beauty in/of mathematics: tessellations and their formulas

Abstract

Tessellations of the Euclidean plane and a circle, a model of the hyperbolic plane, impress by their beauty, elegance and balance equally mathematical amateurs as mathematicians. Besides its impressive figures, esthetic and elegance of related basic formulas affect scientists. The parqueting-reflection method provides besides the tiling related fundamental solutions to complex partial differential equations in the domains of the tessellation.