𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bodies of constant width in arbitrary dimension

✍ Scribed by Thomas Lachand-Robert†; Édouard Oudet

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
252 KB
Volume
280
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension n, one of its (n – 1)‐dimensional projection being given. We give a number of examples, like a four‐dimensional body of constant width whose 3D‐projection is the classical Meissner's body. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Pattern reproduction in tessellation aut
Pattern reproduction in tessellation automata of arbitrary dimension
✍ Thomas J. Ostrand 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 179 KB

Amoroso and Cooper have shown that for an arbitrary state alphabet A, one-and two-dimensional tessellation automata are definable which have the ability to reproduce any finite pattern contained in the tessellation space. This note shows that the same construction may be applied to tessellation spac

In- and circumcenters of manifolds of co
In- and circumcenters of manifolds of constant width
✍ B. V. Dekster 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 193 KB

## IN-AND CIRCUMCENTERS OF MANIFOLDS OF CONSTANT WIDTH Bodies of constant width W in an n-dimensional Riemannian manifold M n, n t> 2, were introduced and studied in [3]. That paper dealt mostly with the curvature of the boundary of such a body K and also established that the diameter D of K satis

Scaling of body frontal area and body wi
Scaling of body frontal area and body width in birds
✍ R.L. Nudds; J.M.V. Rayner 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB

By analyzing a homogenous dataset we show, in contradiction to a previous study, that the scaling of body frontal area (S(b)) with body mass (m(b)) does not differ between passerine and nonpasserine birds. It is likely that comparison of data collected from live passerines with data collected from f