Package: polarzonoid 0.3-0

polarzonoid: 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.

Authors:Glenn Davis [aut, cre]

polarzonoid_0.3-0.tar.gz
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manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
polarzonoid/json (API)

# Install 'polarzonoid' in R:
install.packages('polarzonoid', repos = c('https://glenndavis52.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/glenndavis52/polarzonoid/issues

On CRAN:

Conda:

4.70 score 152 downloads 20 exports 1 dependencies

Last updated from:582801f1be. Checks:9 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-x86_64OK138
source / vignettesOK250
linux-release-x86_64OK139
macos-release-arm64OK97
macos-oldrel-arm64OK115
windows-develOK98
windows-releaseOK102
windows-oldrelOK91
wasm-releaseOK126

Exports:arcsdistancearcsfromboundaryarcsfromrotationarcsfromspherearcsintersectionarcssymmdiffarcsunionboundaryfromarcsboundaryfromspherecomplementaryarcsdisjointarcsplotarcsrotationaroundaxisrotationfromarcsslerpspherefromarcsspherefromarcs_plusspherefromboundarysupporttrigpolyroot

Dependencies:logger

Implicitization
Introduction | The Equations for $n$ = 1,2, and 3 arcs | Supporting Hyperplanes of $\partial Z_n$ | Summary | References | Session Information
Rendered fromimplicitization.Rmdusingknitr::rmarkdown

Last update: 2026-01-12
Started: 2025-08-26

Paths in the Space of Arcs
Introduction | The Tubular Neighborhood of $A_n \subseteq A_{n+1}$ | A Circle of Arcs in $A_3$ around Two Arcs in $A_2$ | Empty Arc to Full Circle, and Back Again | References | Session Information
Rendered frompaths.Rmdusingknitr::rmarkdown

Last update: 2026-01-12
Started: 2025-08-26

Polarzonoid User Guide
Introduction | Zonoids with Generating Functions
Rendered frompolarzonoid-guide.Rmdusingknitr::rmarkdown

Last update: 2026-01-12
Started: 2025-08-26

Real Projective Spaces and 3x3 Rotation Matrices
Introduction | Two Natural Involutions | The Space $P_{2n}$ | The Spaces $A_n^\pi$ and $P_{2n}^\pi$ | A Circle of Rotations around Axis [0,1,0] | A Circle of Rotations around Axis [1,0,0] | A Circle of Rotations around a Random Axis | References | Session Information
Rendered fromrotations.Rmdusingknitr::rmarkdown

Last update: 2026-01-12
Started: 2025-08-26

Knot or Unknot ?
A Natural Question | Unknot | Some Sample Calculations | References | Session Information
Rendered fromunknot.Rmdusingknitr::rmarkdown

Last update: 2025-08-26
Started: 2025-08-26