|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
An isoperimetric
problem for three-dimensional parallelohedra
Zsolt Lángi |
|
Vol. 316 (2022), No. 1, 169–181
|
Abstract |
|
The aim of this note is to investigate isoperimetric-type problems for -dimensional parallelohedra; that is, for convex polyhedra whose translates tile the -dimensional Euclidean space. Our main result states that among -dimensional parallelohedra with unit volume, the one with minimal mean width is the regular truncated octahedron. |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.83
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
parallelohedra, zonotopes, discrete isoperimetric problems,
tiling, Kepler's conjecture, honeycomb conjecture, Kelvin's
conjecture
|
Mathematical Subject Classification
Primary: 52B60
Secondary: 52A40, 52C22
|
Milestones
Received: 24 February 2021
Revised: 7 October 2021
Accepted: 5 November 2021
Published: 26 February 2022
|
Authors |
| Zsolt Lángi | |
| Morphodynamics Research Group and
Department of Geometry Budapest University of Technology Budapest Hungary |
|
