NDLI: On an extremal problem connected with simplices

Content Provider	Springer Nature Link
Author	Horváth, Á. G.
Copyright Year	2013
Abstract	In this note we investigate the behavior of the volume that the convex hull of two congruent and intersecting simplices in Euclidean $$n$$ -space can have. We prove some useful equalities and inequalities on this volume. For the regular simplex we determine the maximal possible volume for the case when the two simplices are related to each other via reflection at a hyperplane intersecting them.
Starting Page	415
Ending Page	428
Page Count	14
File Format	PDF
ISSN	01384821
Journal	Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Volume Number	55
Issue Number	2
e-ISSN	21910383
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-05-23
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Convex hull Isometry Reflection at a hyperplane Simplex Volume inequality Inequalities and extremum problems Length, area, volume Integration: length, area, volume Algebra Geometry Algebraic Geometry Convex and Discrete Geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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On an extremal problem connected with simplices