More Problems Connected with Convexity
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 489-494
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This is a continuation of the author's article [3], and it contains further problems connected with the theory of convex sets in En. To the list of general references in [3] may be added the recent book [2] on convex polyhedra.1) Let A and B be two convex bodies in E2 and let a packing P = {B1, B2, ...} be an infinite sequence of homothetic images of B sucn that: a) each Bn is a subset of A, b) no two of them share interior points, c) Area (A) = The existence of such packings is guaranteed by Vitali's Theorem. Let D(X) be the diameter of the set X and put .
Melzak, Z.A. More Problems Connected with Convexity. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 489-494. doi: 10.4153/CMB-1968-058-0
@article{10_4153_CMB_1968_058_0,
author = {Melzak, Z.A.},
title = {More {Problems} {Connected} with {Convexity}},
journal = {Canadian mathematical bulletin},
pages = {489--494},
year = {1968},
volume = {11},
number = {3},
doi = {10.4153/CMB-1968-058-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-058-0/}
}
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