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Three-Dimensional Projection Bodies
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Noah Samuel Brannen
Published/Copyright:
July 27, 2005
Abstract
The projection body is determined for selected three-dimensional convex bodies. The relationship between the volume of a convex body and the volume of its projection body is explored by calculating the value of an affine-invariant functional defined on the class of convex bodies, and conjectures are made as to the significance of these calculations.
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Published Online: 2005-07-27
Published in Print: 2005-01-01
© de Gruyter
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Articles in the same Issue
- Three-Dimensional Projection Bodies
- Witt-Type Theorems for Grassmannians and Lie Incidence Geometries
- Existence of Vector Bundles of Rank Two with Sections
- On the Quantum Cohomology of Some Fano Threefolds
- Eigenspaces of Linear Collineations
- Residues for Holomorphic Foliations of Singular Pairs
- On the Length of the Cut Locus for Finitely Many Points
- Topological Shift Spaces
- The Thick Frame of a Weak Twin Building
- Free Planes in Lattice Sphere Packings
- Euler Integration and Euler Multiplication
