{ "_id": "6a2a6e117b7a29ca60043080", "Package": "polarzonoid", "Version": "0.3-0", "Date": "2026-01-11", "Title": "Compute Maps and Properties of Polar Zonoids", "Authors@R": "person(\"Glenn\", \"Davis\", role=c(\"aut\", \"cre\"), email=\"gdavis@gluonics.com\")", "Description": "In each odd dimension is a convex body - the polar zonoid\n- whose generating functions are trigonometric polynomials. The\npolar zonoid is a straightforward generalization of the polar\nzonohedron in dimension 3, as defined by Chilton and Coxeter\n(1963) . The package has some applications\nof the polar zonoid, including the properties of configuration\nspaces of arcs on the circle and 3x3 rotation matrices. There\nis also a root solver for trigonometric polynomials.", "License": "GPL (>= 2)", "LazyLoad": "no", "URL": "https://github.com/glenndavis52/polarzonoid", "NeedsCompilation": "no", "Biarch": "no", "Author": "Glenn Davis [aut, cre]", "Maintainer": "Glenn Davis ", "VignetteBuilder": "knitr", "BuildVignettes": "yes", "ByteCompile": "no", "Repository": "https://glenndavis52.r-universe.dev", "Date/Publication": "2026-01-12 23:21:11 UTC", "RemoteUrl": "https://github.com/glenndavis52/polarzonoid", "RemoteRef": "HEAD", "RemoteSha": "582801f1be46b0de426c5b9c5888be0927c093fa", "Packaged": { "Date": "2026-06-11 08:10:09 UTC", "User": "root" }, "MD5sum": "1158da77132e7023907f890bda421439", "_user": "glenndavis52", "_type": "src", "_file": "polarzonoid_0.3-0.tar.gz", "_fileid": "cfce2c48714aa473e652ad30c68ae4eae176cdf4b4689f45eb346bc21b9d8bb0", "_filesize": 1010667, "_sha256": "cfce2c48714aa473e652ad30c68ae4eae176cdf4b4689f45eb346bc21b9d8bb0", "_created": "2026-06-11T08:10:09.000Z", 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"disjointarcs" ] }, { "page": "arc-ops", "title": "Boolean arc operations, and also the distance between two collections of arcs.", "topics": [ "arcsdistance", "arcsintersection", "arcssymmdiff", "arcsunion", "complementaryarcs" ] }, { "page": "arcs-boundary", "title": "The Homeomorphism between the Space of n or fewer arcs, and the boundary of the Polar Zonoid", "topics": [ "arcsfromboundary", "boundaryfromarcs" ] }, { "page": "arcs-sphere", "title": "The Homeomorphism between the Space of n or fewer arcs, and the sphere \\mathbb{S}^{2n}", "topics": [ "arcsfromsphere", "spherefromarcs", "spherefromarcs_plus" ] }, { "page": "boundary-sphere", "title": "The Homeomorphism between the Boundary of the Polar Zonoid in \\mathbb{R}^{2n+1} and the sphere \\mathbb{S}^{2n}", "topics": [ "boundaryfromsphere", "spherefromboundary" ] }, { "page": "plotarcs", "title": "plot a collection of arcs", "topics": [ "plotarcs" ] }, { "page": "rotation", "title": "The homeomorphism between balanced configurations and rotation matrices", "topics": [ "arcsfromrotation", "rotationaroundaxis", "rotationfromarcs" ] }, { "page": "slerp", "title": "Spherical Linear Interpolation (slerp) on the Unit Sphere", "topics": [ "slerp" ] }, { "page": "support", "title": "The Support Function for the Polar Zonoid in \\mathbb{R}^{2n+1}", "topics": [ "support" ] }, { "page": "trigpolyroot", "title": "compute roots of a trigonometric polynomial", "topics": [ "trigpolyroot" ] } ], "_readme": "https://github.com/glenndavis52/polarzonoid/raw/HEAD/README.md", "_rundeps": [ "logger" ], "_vignettes": [ { "source": "implicitization.Rmd", "filename": "implicitization.html", "title": "Implicitization", "author": "Glenn Davis", "engine": "knitr::rmarkdown", "headings": [ "Introduction", "The Equations for $n$ = 1,2, and 3 arcs", "Supporting Hyperplanes of $\\partial Z_n$", "Summary", "References", "Session Information" ], "created": "2025-08-26 02:55:53", "modified": "2026-01-12 16:27:30", "commits": 2 }, { "source": "unknot.Rmd", "filename": "unknot.html", "title": "Knot or Unknot ?", "author": "Glenn Davis", "engine": "knitr::rmarkdown", "headings": [ "A Natural Question", "Unknot", "Some Sample Calculations", "References", "Session Information" ], "created": "2025-08-26 02:55:53", "modified": "2025-08-26 02:55:53", "commits": 1 }, { "source": "paths.Rmd", "filename": "paths.html", "title": "Paths in the Space of Arcs", "author": "Glenn Davis", "engine": "knitr::rmarkdown", "headings": [ "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" ], "created": "2025-08-26 02:55:53", "modified": "2026-01-12 16:27:30", "commits": 2 }, { "source": "polarzonoid-guide.Rmd", "filename": "polarzonoid-guide.html", "title": "Polarzonoid User Guide", "author": "Glenn Davis", "engine": "knitr::rmarkdown", "headings": [ "Introduction", "Zonoids with 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