Author:
Authors:
and
Endre Makai Jr.
makai.endre@renyi.hu
Endre Makai Jr.
Alfréd Rényi Institute of Mathematics, Eötvös Loránd Research Network (ELKH), H-1364 Budapest, P.O. Box 127, Hungary
Search for other papers by Endre Makai Jr. in
Current site
Google Scholar
PubMed
Search for other papers by Endre Makai Jr. in
Current site
Google Scholar
PubMed
Tibor Tarnai
tarnai.tibor@emk.bme.hu
Tibor Tarnai
Budapest University of Technology and Economics, Department of Structural Mechanics, H-1521 Budapest, Műegyetem rkp. 3, Hungary
Search for other papers by Tibor Tarnai in
Current site
Google Scholar
PubMed
Search for other papers by Tibor Tarnai in
Current site
Google Scholar
PubMed
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.
ProCite
RefWorks
Reference Manager
BibTeX
Zotero
EndNote
-
[1]
H.-W. Chen. Kinematics and introduction to dynamics of a movable pair of tetrahedra. M. Eng. Thesis, Dept. Mech. Engng., McGill University, Montreal, Canada, 1991.
-
[2]
R. B. Fuller. Synergetics. Exploration in the geometry of thinking. Macmillan, New York, 1975.
-
[3]
W. Hurewicz and H. Wallman. Dimension theory. Princeton Math. Series, Vol. 4, Princeton Univ. Press, Princeton, N. J., 1941.
-
[4]
A. Hyder and P. J. Zsombor-Murray. Design, mobility analysis and animation of a double equilateral tetrahedral mechanism. CIM-89-15 McRCIM Internal Report, McGill University, Montreal, Canada, 1989.
-
[5]
A. Hyder and P. J. Zsombor-Murray. Design, mobility analysis and animation of a double equilateral tetrahedral mechanism. Proc. Internat. Symp. on Robotics and Manufacturing. ASME Press series, Vol. 3, ISSN 1052–4150, 1990, 49–56.
-
[6]
A. Hyder and P. J. Zsombor-Murray. An equilateral tetrahedral mechanism. Robotics and Autonomous Systems, 9:227–236, 1992.
-
[7]
F. Kovács, F. I. Hegedűs, and T. Tarnai. Movable pairs of regular polyhedra. Structural Morphology towards the New Millenium, Internat. Colloq. Univ. Nottingham, Aug. 15–17, 1997. (Eds. J. C. Chilton, B. S. Choo, W. J. Lewis, O. Popović), Univ. Nottingham, School of Architecture, Nottingham, UK, 1997, 123–129.
-
[8]
E. Makai, Jr. and T. Tarnai. Overconstrained sliding mechanisms. IUTAM-IASS Symp. on Deployable Structures: Theory and Appl., Proc. IUTAM Symp., Cambridge, UK, 6-9 Sept. 1998. (Eds. S. Pellegrino, S. D. Guest), Kluwer, Dordrecht etc., 2000, 261–270.
-
[9]
J. Pedersen and T. Tarnai. Mysterious movable models. Math. Intelligencer, 34(3):62–66, 2012.
-
[10]
H. Stachel. Ein bewegliches Tetraederpaar. (A movable pair of tetrahedra, German.) Elem. Math., 43:67–75, 1988.
-
[11]
T. Tarnai and E. Makai. Physically inadmissible motions of a movable pair of tetrahedra. Proc. Third Internat. Conf. on Engineering Graphics and Descriptive Geometry (eds. S. M. Slaby and H. Stachel), Vol. 2, Technical Univ., Vienna 1988, 264–271.
-
[12]
T. Tarnai and E. Makai. A movable pair of tetrahedra. Proc. Royal Soc. London A, 423:419–442, 1989.
-
[13]
T. Tarnai and E. Makai. Kinematical indeterminacy of a pair of tetrahedral frames. Acta Techn. Acad. Sci. Hungar., 102(1–2):123–145, 1989.
-
[14]
Resultant (2023, Feb 2). In Wikipedia. https://en.wikipedia.org/w/index.php?title=Resultant&oldid=1105451284
The LaTeX template package can be downloaded from HERE.
Editors in Chief
Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)
Managing Editor
Gábor SÁGI (Rényi Institute of Mathematics)
Editorial Board
- Imre BÁRÁNY (Rényi Institute of Mathematics)
- Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
- Péter CSIKVÁRI (ELTE, Budapest)
- Joshua GREENE (Boston College)
- Penny HAXELL (University of Waterloo)
- Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
- Ron HOLZMAN (Technion, Haifa)
- Satoru IWATA (University of Tokyo)
- Tibor JORDÁN (ELTE, Budapest)
- Roy MESHULAM (Technion, Haifa)
- Frédéric MEUNIER (École des Ponts ParisTech)
- Márton NASZÓDI (ELTE, Budapest)
- Eran NEVO (Hebrew University of Jerusalem)
- János PACH (Rényi Institute of Mathematics)
- Péter Pál PACH (BME, Budapest)
- Andrew SUK (University of California, San Diego)
- Zoltán SZABÓ (Princeton University)
- Martin TANCER (Charles University, Prague)
- Gábor TARDOS (Rényi Institute of Mathematics)
- Paul WOLLAN (University of Rome "La Sapienza")
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
Gábor Sági
Address: P.O. Box 127, H–1364 Budapest, Hungary
Phone: (36 1) 483 8344 ---- Fax: (36 1) 483 8333
E-mail: smh.studia@renyi.mta.hu
Indexing and Abstracting Services:
- CABELLS Journalytics
- CompuMath Citation Index
- Essential Science Indicators
- Mathematical Reviews
- Science Citation Index Expanded (SciSearch)
- SCOPUS
- Zentralblatt MATH
| 2022 | |
|---|---|
| Web of Science | |
| Total Cites WoS |
570 |
| Journal Impact Factor | 0.7 |
| Rank by Impact Factor |
Mathematics (Q3) |
| Impact Factor without Journal Self Cites |
0.7 |
| 5 Year Impact Factor |
0.8 |
| Journal Citation Indicator | 0.65 |
| Rank by Journal Citation Indicator |
Mathematics (Q2) |
| Scimago | |
| Scimago H-index |
26 |
| Scimago Journal Rank |
0.351 |
| Scimago Quartile Score |
Mathematics (Q3) |
| Scopus | |
| Scopus Cite Score |
1.8 |
| Scopus CIte Score Rank |
General Mathematics 128/387 (67th PCTL) |
| Scopus SNIP |
1.276 |
| 2021 | |
|---|---|
| Web of Science | |
| Total Cites WoS |
589 |
| Journal Impact Factor | 0,739 |
| Rank by Impact Factor | Mathematics 229/332 |
| Impact Factor without Journal Self Cites |
0,710 |
| 5 Year Impact Factor |
0,654 |
| Journal Citation Indicator | 0,57 |
| Rank by Journal Citation Indicator | Mathematics 287/474 |
| Scimago | |
| Scimago H-index |
26 |
| Scimago Journal Rank |
0,265 |
| Scimago Quartile Score | Mathematics (miscellaneous) (Q3) |
| Scopus | |
| Scopus Cite Score |
1,3 |
| Scopus CIte Score Rank |
General Mathematics 193/391 (Q2) |
| Scopus SNIP |
0,746 |
| 2020 | |
| Total Cites | 536 |
| WoS | |
| Journal Impact Factor |
0,855 |
| Rank by | Mathematics 189/330 (Q3) |
| Impact Factor | |
| Impact Factor | 0,826 |
| without | |
| Journal Self Cites | |
| 5 Year | 1,703 |
| Impact Factor | |
| Journal | 0,68 |
| Citation Indicator | |
| Rank by Journal | Mathematics 230/470 (Q2) |
| Citation Indicator | |
| Citable | 32 |
| Items | |
| Total | 32 |
| Articles | |
| Total | 0 |
| Reviews | |
| Scimago | 24 |
| H-index | |
| Scimago | 0,307 |
| Journal Rank | |
| Scimago | Mathematics (miscellaneous) Q3 |
| Quartile Score | |
| Scopus | 139/130=1,1 |
| Scite Score | |
| Scopus | General Mathematics 204/378 (Q3) |
| Scite Score Rank | |
| Scopus | 1,069 |
| SNIP | |
| Days from | 85 |
| submission | |
| to acceptance | |
| Days from | 123 |
| acceptance | |
| to publication | |
| Acceptance | 16% |
| Rate |
| 2019 | |
|---|---|
| Total Cites WoS |
463 |
| Impact Factor | 0,468 |
| Impact Factor without Journal Self Cites |
0,468 |
| 5 Year Impact Factor |
0,413 |
| Immediacy Index |
0,135 |
| Citable Items |
37 |
| Total Articles |
37 |
| Total Reviews |
0 |
| Cited Half-Life |
21,4 |
| Citing Half-Life |
15,5 |
| Eigenfactor Score |
0,00039 |
| Article Influence Score |
0,196 |
| % Articles in Citable Items |
100,00 |
| Normalized Eigenfactor |
0,04841 |
| Average IF Percentile |
13,117 |
| Scimago H-index |
23 |
| Scimago Journal Rank |
0,234 |
| Scopus Scite Score |
76/104=0,7 |
| Scopus Scite Score Rank |
General Mathematics 247/368 (Q3) |
| Scopus SNIP |
0,671 |
| Acceptance Rate |
14% |
| Studia Scientiarum Mathematicarum Hungarica | |
|---|---|
| Publication Model | Hybrid |
| Submission Fee | none |
| Article Processing Charge | 900 EUR/article |
| Printed Color Illustrations | 40 EUR (or 10 000 HUF) + VAT / piece |
| Regional discounts on country of the funding agency | World Bank Lower-middle-income economies: 50% World Bank Low-income economies: 100% |
| Further Discounts | Editorial Board / Advisory Board members: 50% Corresponding authors, affiliated to an EISZ member institution subscribing to the journal package of Akadémiai Kiadó: 100% |
| Subscription fee 2023 | Online subsscription: 708 EUR / 860 USD Print + online subscription: 796 EUR / 970 USD |
| Subscription Information | Online subscribers are entitled access to all back issues published by Akadémiai Kiadó for each title for the duration of the subscription, as well as Online First content for the subscribed content. |
| Purchase per Title | Individual articles are sold on the displayed price. |
| 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) |
Monthly Content Usage
| Abstract Views | Full Text Views | PDF Downloads | |
|---|---|---|---|
| Jun 2023 | 10 | 2 | 3 |
| Jul 2023 | 18 | 1 | 1 |
| Aug 2023 | 25 | 6 | 4 |
| Sep 2023 | 26 | 3 | 3 |
| Oct 2023 | 13 | 6 | 0 |
| Nov 2023 | 27 | 6 | 2 |
| Dec 2023 | 10 | 0 | 0 |
Author:
Author:
Author:
Authors:
, , , , , and
Author:
Copyright Akadémiai Kiadó AKJournals is the trademark of Akadémiai Kiadó's journal publishing business branch.
Powered by PubFactory