Convex Hull of Two Orthogonal Disks

2012/11/19 by Steven R. Finch, Finch, Steven R. · 1 citation
Computer Science · Mathematics · #33B15 #33E05 #51M04 #51M25 #52A15 #52A38 #53A05 (Primary) 26B15 #60D05 (Secondary) #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities #Polynomial and algebraic computation #math.CA #math.DG #math.MG #msc:26B15 #msc:33B15 #msc:33E05 #msc:51M04 #msc:51M25 #msc:52A15 #msc:52A38 #msc:53A05 #msc:60D05

paper · pdf · doi:10.48550/arxiv.1211.4514

19 pages, 3 figures

openalex publication_date 2012/11/19 · arxiv created 2016/03/12 · arxiv updated 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Three configurations of two perpendicular disks in R³ are examined, the first in which the disks share centers and the other two in which the disks touch at precisely one point. Volume, surface area and mean width calculations dominate the discussion. Integrated mean curvature also appears as an indirect way to compute mean width.

Cited by

• Convex Hull of Two Circles in R³

Related

• Oblique Circular Cones and Cylinders
• On convex bodies that are characterizable by volume function
• Mutually Equidistant Spheres that Intersect
• Volume of convex hull of two bodies and related problems
• On a Dowker-type problem for convex disks with almost constant curvature