Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 60: Issue 1
Generalized Forms of an Overconstrained Sliding Mechanism Consisting of Two Congruent Tetrahedra
Authors:
Endre Makai Jr. Alfréd Rényi Institute of Mathematics, Eötvös Loránd Research Network (ELKH), H-1364 Budapest, P.O. Box 127, Hungary

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and
Tibor Tarnai Budapest University of Technology and Economics, Department of Structural Mechanics, H-1521 Budapest, Műegyetem rkp. 3, Hungary

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Pages:
43–75
Online Publication Date:
06 Feb 2023
Publication Date:
26 Apr 2023
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2023.01534
Keywords:
Sliding mechanisms; tetrahedra; bar structures
Restricted access

The motions of a bar structure consisting of two congruent tetrahedra are investigated, whose edges in their basic position are the face diagonals of a rectangular parallelepiped. The constraint of the motion is the following: the originally intersecting edges have to remain coplanar. All finite motions of our bar structure are determined. This generalizes our earlier work, where we did the same for the case when the rectangular parallelepiped was a cube. At the end of the paper we point out three further possibilities to generalize the question about the cube, and give for them examples of finite motions.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

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Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation		 1966
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)

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