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Description

Compute Maps and Properties of Polar Zonoids.

In each odd dimension is a convex body - the polar zonoid - whose generating functions are trigonometric polynomials. The polar zonoid is a straightforward generalization of the polar zonohedron in dimension 3, as defined by Chilton and Coxeter (1963) <doi:10.2307/2313051>. The package has some applications of the polar zonoid, including the properties of configuration spaces of arcs on the circle and 3x3 rotation matrices. There is also a root solver for trigonometric polynomials.

polarzonoid

This is the git repository for the package polarzonoid on CRAN.


Overview

In each odd dimension is a convex body - the polar zonoid - whose generating functions are trigonometric polynomials. The polar zonoid is a straightforward generalization of the polar zonohedron in dimension 3, as defined by Chilton and Coxeter (1963). The package has some applications of the polar zonoid, including the properties of configuration spaces of arcs on the circle and 3x3 rotation matrices. There is also a root solver for trigonometric polynomials.

In other contexts, i.e. the theory of convex bodies, the term "polar zonoid" is short for "polar of a zonoid", which is an entirely different concept.


Installation

install.packages("polarzonoid")

Getting help

If you encounter a bug, please file an issue with a minimal reproducible example on GitHub. Or, write me using my email address on the CRAN page for the package.

Metadata

Version

0.3-0

License

Unknown

Platforms (78)

    Darwin
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