L2Primitives.m (12.1 KB) - Mathematica Package L2Coordinates-Various Coordinates in the Hyperbolic Plane Tessellation, Tiling, Hyperbolic plane, Lobachevskian plane, Polyhedra, Elliptic planeīasic drawing in the Hyperbolic plane The drawing in hyperbolic plane is realized using the I. Beside the drawing of tessellations, the program provides additional data, such as: geometry and type of tessellation, number of possible realizations, angles of tiles and transformation rules between neighboring vertices. A typical command for drawing a tiling is TessShow. The package correctly finds all uniform (semi-regular) tilings, Archimedean tilings which are not uniform, and also `colored' realizations. The vertex configuration does not define uniquely tiling, and the program calculates, for a given vertex configuration, all different (if any) realizations of the tiling. Tessellations are given with their vertex configuration. The tiles of Archimedean tessellations are regular polygons and all vertices are of the same type. Tess is a package for generation and drawing of Archimedean (including regular and uniform) tessellations in Euclidean (E2), Elliptic (S2 - polyhedra), and Lobachevskian (L2, or hyperbolic) plane. Tessellations of the Euclidean, Elliptic and Hyperbolic Plane Finance, Statistics & Business Analysisįor the newest resources, visit Wolfram Repositories and Archives ».Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more.

The space X is -hyperbolic (in the Gromov sense) if any side of T is contained. If X is a geodesic metric space and x1, x2, x3 X, a geodesic triangle T with vertices x1, x2, x3, is the union of three geodesics x1x2, x2x3 and x3x1 in X. Wolfram Data Framework Semantic framework for real-world data. We also prove that a tessellation graph is hyperbolic if and only if its dual graph is hyperbolic.

Hyperbolic tessellation