Compute Maps and Properties of Polar Zonoids
Boolean arc operations, and also the distance between two collections ...
The Homeomorphism between the Space of or fewer arcs, and the boun...
The Homeomorphism between the Space of or fewer arcs, and the sphe...
The Homeomorphism between the Boundary of the Polar Zonoid in $\mathbb...
arc disjointness
plot a collection of arcs
The Polar Zonoid in
The homeomorphism between balanced configurations and rotation matrice...
Spherical Linear Interpolation (slerp) on the Unit Sphere
The Support Function for the Polar Zonoid in
compute roots of a trigonometric polynomial
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.