On a stronger form of Roger's lemma and the minimum surface area of Voronoi cells in unit ball packings

2000 ◽  
Vol 2000 (518) ◽  
Author(s):  
K. Bezdek
Keyword(s):  
Unit Ball ◽  
Surface Area ◽  
Voronoi Cells ◽  
Minimum Surface ◽  
Ball Packings ◽  
Minimum Surface Area

Geometry and Soap Bubbles

1964 ◽  
Vol 47 (364) ◽  
pp. 205-208
Author(s):  
R. W. Calvert
Keyword(s):  
Surface Area ◽  
Soap Films ◽  
Soap Bubbles ◽  
Minimum Surface ◽  
Minimum Surface Area

Owing to the tendency of soap films to form the minimum surface area the surfaces of bubbles are spherical and intersect at 120°.

ADSORPTION OF STERICALLY HINDERED PHENOLS ON CARBON

1959 ◽  
Vol 37 (8) ◽  
pp. 1235-1240 ◽  
Author(s):  
Owen H. Wheeler ◽  
Eric M. Levy
Keyword(s):  
Surface Area ◽  
Hydroxyl Group ◽  
Sterically Hindered Phenols ◽  
Freundlich Isotherms ◽  
Minimum Surface ◽  
Alkyl Groups ◽  
Hindered Phenols ◽  
Sterically Hindered ◽  
Minimum Surface Area

The Freundlich isotherms for the adsorption of some ortho-alkylated phenols on carbon from cyclohexane solution have been determined. The minimum surface area covered by the adsorbed phenols is compared with the area of the molecules themselves. Large alkyl groups ortho to the hydroxyl group greatly reduce the adsorption.

Polyhedral carbon nanofoams with minimum surface area partitions produced using silica nanofoams as templates

Carbon ◽  
2010 ◽  
Vol 48 (11) ◽  
pp. 3121-3130 ◽  
Author(s):  
Linda L. Hussami ◽  
Robert W. Corkery ◽  
Lars Kloo
Keyword(s):  
Surface Area ◽  
Minimum Surface ◽  
Minimum Surface Area

Triangulation of Branching Contours Using Area Minimization

1998 ◽  
Vol 08 (04) ◽  
pp. 389-406 ◽  
Author(s):  
Mu Hong ◽  
Thomas W. Sederberg ◽  
Krzysztof S. Klimaszewski ◽  
Kazufumi Kaneda
Keyword(s):  
Surface Area ◽  
Piecewise Linear ◽  
New Method ◽  
Minimum Surface ◽  
Area Minimization ◽  
Current Algorithm ◽  
Minimum Surface Area ◽  
Minimal Area

This paper presents a new method for reconstructing piecewise linear surfaces from planar polygonal contours that branch. For non-branching contours, experience has shown that the piecewise linear surface of minimum surface area which connects a pair of contours often provides a good solution. The current algorithm extends this idea by searching for the surface of minimal area which connects two contours comprised of more than one polygon. Several examples that justify this heuristic are provided.

scholarly journals OPTIMIZATION OF VESSELS SIZES FROM THE CONDITIONS OF THE MINIMUM HULL SURFACE AREA

2020 ◽  
Vol 2018 (1) ◽  
pp. 61-63
Author(s):  
Sergey Scherbin ◽  
Bogdan Vnukov ◽  
Konstantin Gordeev
Keyword(s):  
Surface Area ◽  
Minimum Surface ◽  
Minimum Surface Area ◽  
Optimal Diameter

The method of optimization of vessels sizes for the reasons of the minimum surface area of the hull is considered. The dependences of the optimal diameter, height and minimum surface area of the tank body on the volume are obtained.

scholarly journals Convex Bodies of Minimal Volume, Surface Area and Mean Width with Respect to Thin Shells

2008 ◽  
Vol 60 (1) ◽  
pp. 3-32 ◽  
Author(s):  
Károly Böröczky ◽  
Károly J. Böröczky ◽  
Carsten Schütt ◽  
Gergely Wintsche
Keyword(s):  
Unit Ball ◽  
Surface Area ◽  
Convex Bodies ◽  
Extreme Points ◽  
Thin Shells ◽  
Minimal Volume ◽  
Asymptotic Formulae ◽  
Mean Width

AbstractGiven r > 1, we consider convex bodies in En which contain a fixed unit ball, and whose extreme points are of distance at least r from the centre of the unit ball, and we investigate how well these convex bodies approximate the unit ball in terms of volume, surface area and mean width. As r tends to one, we prove asymptotic formulae for the error of the approximation, and provide good estimates on the involved constants depending on the dimension.

Sign in / Sign up

Export Citation Format

Share Document