On the Anti-Cylinder.

Abstract

This document defines a geometric figure which is called an anti-cylinder, like the cylinder, it has a bottom circle gamma function and a topcircle gamma function' and all common normals of gamma function and gamma function' have the same length c. Figure 2 exhibits a model made by the author of 1 1/2 feet height. Unlike the two circles of a cylinder the circles gamma function and gamma function' are linked, like two consecutive elements in a chain. If made of anodized aluminum tubing and of reasonable height (15 to 20 feet) it would make and attractive out-door sculpture, of interest also to nonmathematicians, and also perhaps for children's playgrounds, the children climbing around the figure. Keywords: Villarceau Circles of a torus.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1985
Accession Number
ADA160984

Entities

People

  • Isaac Jacob Schoenberg

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Aluminum
  • Classification
  • Climbing
  • Contracts
  • Coordinate Systems
  • Diameters
  • Elements
  • Equations
  • Geometry
  • Inequalities
  • Mathematics
  • Military Research
  • North Carolina
  • Polygons
  • United States
  • Wisconsin

Readers

  • Electrical Engineering
  • Graph Algorithms and Convex Optimization.
  • Powder metallurgy of Titanium alloys.