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    DCG
    2007
    71views more  DCG 2007»
    Covering Spheres with Spheres
    14 years 24 days ago
    Covering Spheres with Spheres
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    Given a sphere of any radius r in an n-dimensional Euclidean space, we study the coverings of this sphere with solid spheres of radius one. Our goal is to design a covering of the...
    Ilya Dumer
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    DCG
    2007
    102views more  DCG 2007»
    How to Exhibit Toroidal Maps in Space
    14 years 24 days ago
    How to Exhibit Toroidal Maps in Space
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    Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
    Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
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    DCG
    2007
    35views more  DCG 2007»
    Enumeration of Non-Orientable 3-Manifolds Using Face-Pairing Graphs and Union-Find
    14 years 24 days ago
    Enumeration of Non-Orientable 3-Manifolds Using Face-Pairing Graphs and Union-Find
    Download  www.maths.uq.edu.au
    Benjamin A. Burton
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    DCG
    2007
    65views more  DCG 2007»
    Paths of Trains with Two-Wheeled Cars
    14 years 24 days ago
    Paths of Trains with Two-Wheeled Cars
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    In this paper we study the following simple and mind-puzzling problem: Can a model train car, which runs along an intricate track complete a full cycle around it? In our paper a t...
    Luis Montejano, Jorge Urrutia
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    DCG
    2007
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    Banach-Mazur Distances and Projections on Random Subgaussian Polytopes
    14 years 24 days ago
    Banach-Mazur Distances and Projections on Random Subgaussian Polytopes
    Download  www.mimuw.edu.pl
    We consider polytopes in Rn that are generated by N vectors in Rn whose coordinates are independent subgaussian random variables. (A particular case of such polytopes are symmetri...
    Rafal Latala, Piotr Mankiewicz, Krzysztof Oleszkie...
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    DCG
    2007
    39views more  DCG 2007»
    The Number of k-Faces of a Simple d-Polytope
    14 years 24 days ago
    The Number of k-Faces of a Simple d-Polytope
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    Anders Björner, Svante Linusson
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    DCG
    2007
    79views more  DCG 2007»
    Distance Measures for Well-Distributed Sets
    14 years 24 days ago
    Distance Measures for Well-Distributed Sets
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    In this paper we investigate the Erd¨os/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We pr...
    Alex Iosevich, Michael Rudnev
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    DCG
    2007
    104views more  DCG 2007»
    Coincidence Site Modules in 3-Space
    14 years 24 days ago
    Coincidence Site Modules in 3-Space
    Download  www.mathematik.uni-bielefeld.de
    The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, ...
    Michael Baake, Peter A. B. Pleasants, Ulf Rehmann
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    DCG
    2007
    91views more  DCG 2007»
    Which n-Venn Diagrams Can Be Drawn with Convex k-Gons?
    14 years 24 days ago
    Which n-Venn Diagrams Can Be Drawn with Convex k-Gons?
    Download  webhome.cs.uvic.ca
    We establish a new lower bound for the number of sides required for the component curves of simple Venn diagrams made from polygons. Specifically, for any n-Venn diagram of conve...
    Jeremy Carroll, Frank Ruskey, Mark Weston
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    DCG
    2007
    42views more  DCG 2007»
    Computing Modular Coincidences for Substitution Tilings and Point Sets
    14 years 24 days ago
    Computing Modular Coincidences for Substitution Tilings and Point Sets
    Download  www.mathematik.uni-bielefeld.de
    D. Frettloh, B. Sing
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