Hostname: page-component-76fb5796d-5g6vh Total loading time: 0 Render date: 2024-04-27T22:32:03.007Z Has data issue: false hasContentIssue false
  • English
  • Français

Reuleaux polytopes

Published online by Cambridge University Press:  26 February 2010

G. T. Sallee
G. T. Sallee
Affiliation:
Department of Mathematics, The University of California, Davis, California, U.S.A.
Get access

Extract

All of our work takes place in Ed, d-dimensional Euclidean space, with unit ball B. Unless specifically noted to the contrary, all sets will be presumed to be closed and convex. If X is a subset of a sphere S with centre p, we will say X is spherically convex if X is contained in some open hemisphere of S and if the cone generated by X with vertex p is convex. The distance between two points x, y ε Ed will be denoted |x − y|. If K1K2 are two convex sets, ρ(K1, K2) will mean the usual Hausdorff distance between them.

Type
Research Article
Information
Mathematika , Volume 17 , Issue 2 , December 1970 , pp. 315 - 323
Copyright
Copyright © University College London 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Eggleston, H. G., Convexity (Cambridge University Press, Cambridge, 1958).CrossRefGoogle Scholar
2.Eggleston, H. G., “Sets of constant width in finite dimensional Banach spaces”, Israel J. Math., 3 (1968), 163–172.CrossRefGoogle Scholar
3.Sallee, G. T., “The maximal set of constant width in a lattice”, Pacific J. Math., 28 (1969), 669–674.CrossRefGoogle Scholar
4.Yaglom, I. M. and Boltyanskii, W. G., Convex figures, English Translation (Holt, Rinehart and Winston, 1961).Google Scholar