Regular Circle Packings
نویسنده
چکیده
منابع مشابه
Hexagonal circle patterns and integrable systems. Patterns with constant angles
The theory of circle packings and, more generally, of circle patterns enjoys in recent years a fast development and a growing interest of specialists in complex analysis and discrete mathematics. This interest was initiated by Thurston’s rediscovery of the Koebe-Andreev theorem [K] about circle packing realizations of cell complexes of a prescribed combinatorics and by his idea about approximat...
متن کاملPatterns with constant angles
The theory of circle packings and, more generally, of circle patterns enjoys in recent years a fast development and a growing interest of specialists in complex analysis and discrete mathematics. This interest was initiated by Thurston’s rediscovery of the Koebe-Andreev theorem [K] about circle packing realizations of cell complexes of a prescribed combinatorics and by his idea about approximat...
متن کاملQuasicrystals and the Wull{shape
Innnite sphere packings give information about the structure but not about the shape of large dense sphere packings. For periodic sphere packings a new method was introduced in W2], W3], S] and BB], which gave a direct relation between dense periodic sphere packings and the Wull{shape, which describes the shape of ideal crystals. In this paper we show for the classical Penrose tiling that dense...
متن کامل0 Conformally symmetric circle packings . A generalization of Doyle spirals
Circle packings (and more generally patterns) as discrete analogs of conformal mappings is a fast developing field of research on the border of analysis and geometry. Recent progress was initiated by Thurston’s idea [T] about the approximation of the Riemann mapping by circle packings. The corresponding convergence was proven by Rodin and Sullivan [RS]; many additional connections with analytic...
متن کاملPlanar Lombardi Drawings for Subcubic Graphs
We prove that every planar graph with maximum degree three has a planar drawing in which the edges are drawn as circular arcs that meet at equal angles around every vertex. Our construction is based on the Koebe–Thurston–Andreev circle packing theorem, and uses a novel type of Voronoi diagram for circle packings that is invariant under Möbius transformations, defined using three-dimensional hyp...
متن کامل