Circle numbers of regular convex polygons

DOI10.1007/s00025-016-0534-yzbMath1380.52002OpenAlexW2303984194MaRDI QIDQ287319

Kay Schicker, Wolf-Dieter Richter

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0534-y

zbMATH Keywords

disintegration of Lebesgue measurepolygonal radiuspolygonally generalized circumferencepolygonally generalized uniform distributionregular convex polygonsrotated polar body geometry

Mathematics Subject Classification ID

Metric geometry (51F99) Length, area, volume, other geometric measure theory (28A75) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integration of real functions of several variables: length, area, volume (26B15) Convex sets in (2) dimensions (including convex curves) (52A10) Length, area and volume in real or complex geometry (51M25) Integration and disintegration of measures (28A50) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (2)

Polyhedral star-shaped distributions ⋮ Classes of geometrically generalized von Mises distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the ball number function
• Ball numbers of platonic bodies
• Circle numbers for star discs
• On the \(\pi \)-function for nonconvex \(l_{2,p}\)-circle discs
• On \(l_{2, p}\) -circle numbers
• Continuous \(l_{n,p}\)-symmetric distributions
• Cavalieri's method of indivisibles
• Generalized spherical and simplicial coordinates
• Cavalieri integration
• Ellipses numbers and geometric measure representations
• A Note on Cavalieri Integration
• Lectures on Polytopes
• Geometric and Stochastic Representations for Elliptically Contoured Distributions
• Reverse triangle inequality. Antinorms and semi-antinorms
• The Isoperimetric Problem in the Minkowski Plane

This page was built for publication: Circle numbers of regular convex polygons