Umbrellas and Polytopal Approximation of the Euclidean Ball

Author： Gordon Y.   Reisner S.   Leviatan C.D.  

Publisher： Academic Press

ISSN： 0021-9045

Source： Journal of Approximation Theory, Vol.90, Iss.1, 1997-07, pp. : 9-22

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

There are two positive, absolute constants c 1 and c 2 so that the volume of the difference set of the d -dimensional Euclidean ball B d 2 and an inscribed polytope with n vertices is larger than c 1 d vol d ( B d 2 ) n -2/( d -1) for n >=( c 2 d ) ( d -1)/2 .

Related content

Beyond domes, umbrellas and tents

By  

The Mathematical Gazette, Vol. 94, Iss. 529, 2010-03 ,pp. : 51-61 (11)

Cambridge University Press

Access to resources Recommend Favorite

Polytopal Linear Groups and Balanced 3-Polytopes

By Faramarzi Seadat Ollah  

Communications in Algebra, Vol. 37, Iss. 12, 2009-12 ,pp. : 4391-4415 (25)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres

By Billera Louis   Hsiao Samuel   Provan J.  

Discrete & Computational Geometry, Vol. 39, Iss. 1-3, 2008-03 ,pp. : 123-137 (15)

Springer Publishing Company

Access to resources Recommend Favorite

Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes∗∗∗

By Boffi Daniele   Di Pietro Daniele A.  

ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 52, Iss. 1, 2018-01 ,pp. : 1-28 (28)

Edp Sciences

Access to resources Recommend Favorite

Euclidean position in Euclidean 2-orbifolds

By Cortes C.   Marquez A.   Valenzuela J.  

Computational Geometry, Vol. 27, Iss. 1, 2004-01 ,pp. : 27-41 (15)

Elsevier

Access to resources Recommend Favorite