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Georgy Voronoy - Wikipedia, the free encyclopedia (183 words) |
 | Georgy Voronoy (Вороной Георгий Феодосьевич, 28 April 1868 — 20 November 1908) was a famous Russian mathematician of Ukrainian descent. |
| Georgi Feodosevich Voronoy was born in the village of Zhuravki, district of Ryriatin, in the Ukrainian province of Poltava. |
| From 1889 on Voronoy studied at St Petersburg University where he was a student of Andrey Markov. |
| Voronoi diagram: Information from Answers.com (933 words) |
| In mathematics, a Voronoi diagram, named after Georgy Voronoi, also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation (after Lejeune Dirichlet), is special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. |
| A 2D lattice gives an irregular honeycomb tessellation, with equal hexagons with point symmetry; in the case of a regular triangular lattice it is regular; in the case of a rectangular lattice the hexagons reduce to rectangles in rows and columns; a square lattice gives the regular tessellation of squares. |
| However in these cases the Voronoi tessellation is not guaranteed to exist (or to be a "true" tessellation), since the equidistant locus for two points may fail to be subspace of codimension 1, even in the 2-dimensional case. |
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