On isosceles sets in the 4-dimensional Euclidean space - Collections

＜preprint＞
On isosceles sets in the 4-dimensional Euclidean space

Creator	Author PID L004134 Creator Name Kido, Hiroaki 城戸, 浩章キド, ヒロアキ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2008-10-15
Source Title	MI Preprint Series
Vol	2008-3
Publication Type	Author's Original
Access Rights	open access
Related DOI	MI Preprint Series \|\| 2008-3 \|\| p1-38
Related DOI	http://www.math.kyushu-u.ac.jp/
Related URI	MI Preprint Series \|\| 2008-3 \|\| p1-38
Related URI	http://www.math.kyushu-u.ac.jp/
Relation	MI Preprint Series \|\| 2008-3 \|\| p1-38
Relation	http://www.math.kyushu-u.ac.jp/
Abstract	A subset X in the k-dimensional Euclidean space that contains n points (elements) is called an n-point isosceles set if every triplet of points selected from them forms an isosceles triangle. In this ...paper, we show that there exist exactly two 11-point isosceles sets up to isomorphism and that the maximum cardinality of isosceles sets in the 4-dimensional Euclidean space is 11.show more

File	FileType	Size	Views	Description
MI2008-3	pdf	336 KB	354

Record ID	12548
Peer-Reviewed	Unrefereed
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	プレプリント
Created Date	2009.04.22
Modified Date	2018.02.19