Protecting regular polygons
type: Item
instance of: scholarly article
title: Protecting regular polygons
zbMATH Open document ID: 0974.52016
author: N. Delaunay
published in: Beiträge zur Algebra und Geometrie
publication date: 2000-09-13T00:00:00Z
full work available at URL: https://eudml.org/doc/121417
full work available at URL: 8.html
review text: The protecting number of a convex body \(K\) is defined. This is the minimum number of non-overlapping congruent copies of \(K\) so that they can touch \(K\) and any other congruent copy of \(K\) can not touch \(K\) without overlapping each other. The authors prove the following theorems. Theorem 1. The protecting number of any regular polygon is not greater than four. Theorem 2. The protecting number of the square is four. Theorem 3. The protecting number of the regular \(6n\)-gon is three for all positive integers \(n\).
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 1505611
zbMATH Keywords: protecting number
zbMATH Keywords: regular polygon
reviewed by: Ágota H. Temesvári
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1505611