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Inner tube formulas for polytopes

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Publication:2880661
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DOI10.1090/S0002-9939-2011-11307-8zbMath1243.52008arXiv1008.2040OpenAlexW2963151954MaRDI QIDQ2880661

Şahin Koçak, Andrei V. Ratiu

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2040


zbMATH Keywords

volumepolytopeSteiner formulatube formula


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Length, area, volume and convex sets (aspects of convex geometry) (52A38)


Related Items (3)

Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets ⋮ Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back



Cites Work

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  • Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators
  • Tube formulas and complex dimensions of self-similar tilings
  • Generalized curvatures
  • Curvature Measures
  • Tube formulas for self-similar fractals
  • Fractal Geometry, Complex Dimensions and Zeta Functions


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