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Author ID: stachel.hellmuth Recent zbMATH articles by "Stachel, Hellmuth"
Published as: Stachel, Hellmuth; Stachel, H.
Homepage: https://www.geometrie.tuwien.ac.at/stachel/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 111 Publications since 1967, including 27 Books
3 Contributions as Editor
Biographic References: 6 Publications
Co-Authors: 35 Co-Authors with 51 Joint Publications
403 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 193 times in 143 Documents Cited by Year
The universe of conics. From the ancient Greeks to 21st century developments. Zbl 1354.51001
Glaeser, Georg; Stachel, Hellmuth; Odehnal, Boris
50
2016
Flexible cross-polytopes in the Euclidean 4-space. Zbl 0977.52028
Stachel, Hellmuth
13
2000
Flexible octahedra in the hyperbolic space. Zbl 1100.52005
Stachel, Hellmuth
11
2006
Zur Einzigkeit der Bricardschen Oktaeder. (Uniqueness of the Bricard octahedra). Zbl 0611.51011
Stachel, Hellmuth
10
1987
A kinematic approach to Kokotsakis meshes. Zbl 1208.65030
Stachel, Hellmuth
8
2010
The universe of quadrics. Zbl 1434.51001
Odehnal, Boris; Stachel, Hellmuth; Glaeser, Georg
8
2020
On the flexibility and symmetry of overconstrained mechanisms. Zbl 1353.52018
Stachel, Hellmuth
7
2014
Higher order flexibility of octahedra. Zbl 0973.52016
Stachel, Hellmuth
6
1999
Open geometry. OpenGL + advanced geometry. Incl. 1 CD-ROM. Zbl 0917.68211
Glaeser, Georg; Stachel, Hellmuth
5
1999
A new look at the Ball-Disteli diagram and its relevance to spatial gearing. Zbl 1188.70013
Figliolini, Giorgio; Stachel, Hellmuth; Angeles, Jorge
5
2007
Bemerkungen über zwei räumliche Trilaterationsprobleme. Zbl 0501.51006
Stachel, H.
4
1982
Netzprojektion quasielliptischer Schraubschiebflächen. Zbl 0201.54003
Stachel, Hellmuth
4
1970
Ivory’s theorem in hyperbolic spaces. Zbl 1051.51012
Stachel, Hellmuth; Wallner, Johannes
4
2004
Equicevian points and cubics of a triangle. Zbl 1319.51021
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
3
2014
The HEUREKA-polyhedron. Zbl 0826.51015
Stachel, H.
3
1994
The development of the oloid. Zbl 0901.51017
Dirnböck, Hans; Stachel, Hellmuth
3
1997
Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Zbl 0209.24803
Stachel, Hellmuth
3
1970
A flexible planar tessellation with a flexion tiling a cylinder of revolution. Zbl 1266.51033
Stachel, Hellmuth
3
2012
The geometry of billiards in ellipses and their Poncelet grids. Zbl 1479.51022
Stachel, Hellmuth
3
2021
Isometric billiards in ellipses and focal billiards in ellipsoids. Zbl 1476.51014
Stachel, Hellmuth
3
2021
Euclidean line geometry and kinematics in the 3-space. Zbl 0882.53013
Stachel, Hellmuth
2
1997
Two remarkable movable frameworks. (Zwei bemerkenswerte bewegliche Strukturen.) Zbl 0754.51009
Stachel, Hellmuth
2
1992
Zu K. Schüttes Verallgemeinerungen des Satzes von Napoleon. (About K. Schüttes’ generalizations of the Theorem of Napoleon). Zbl 0727.51005
Stachel, H.
2
1991
Quasielliptische Schiebflächen mit unendlich vielen Schiebnetzen. I, II. Zbl 0318.53016
Stachel, Hellmuth
2
1975
Zur Kennzeichnung quasielliptischer und elliptischer Schiebnetze. Zbl 0291.53005
Stachel, Hellmuth
2
1974
On the tetrahedra in the dodecahedron. Zbl 0949.53010
Stachel, Hellmuth
2
1999
Recalling thread constructions of quadrics. Zbl 1469.51012
Stachel, Hellmuth
2
2020
Equicevian points of a triangle. Zbl 1342.51020
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
2
2015
Steiner’s hat: a constant-area deltoid associated with the ellipse. Zbl 1467.51011
Garcia, Ronaldo; Reznik, Dan; Stachel, Hellmuth; Helman, Mark
2
2020
Ein bewegliches Tetraederpaar. (A movable pair of tetrahedra). Zbl 0699.53012
Stachel, H.
1
1988
Eine Anwendung der kinematischen Abbildung. Zbl 0473.51008
Stachel, Hellmuth
1
1981
Mehrdimensionale Axonometrie. (Multidimensional axonometry). Zbl 0653.51018
Stachel, Hellmuth
1
1988
Another cubic associated with a triangle. Zbl 1171.51010
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
1
2007
Quasielliptische Schraubschiebflächen. Zbl 0241.53008
Stachel, Hellmuth
1
1972
Über Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Zbl 0216.43102
Stachel, H.
1
1971
Ivory’s theorem in the Minkowski plane. Zbl 1006.51018
Stachel, Hellmuth
1
2002
The hidden geometry in Vermeer’s ’the art of painting’. Zbl 1223.51031
Gutruf, Gerhard; Stachel, Hellmuth
1
2010
Mathematics. (Mathematik.) Zbl 1200.00001
Arens, Tilo; Hettlich, Frank; Karpfinger, Christian; Kockelkorn, Ulrich; Lichtenegger, Klaus; Stachel, Hellmuth
1
2008
On the synthesis of spatial cycloidal gears. Zbl 1293.70012
Figliolini, Giorgio; Stachel, Hellmuth; Angeles, Jorge
1
2013
On relaxed elastic lines of second kind on a curved hypersurface in the \(n\)-dimensional Euclidean space. Zbl 1307.49047
Sarioğlugil, Ayhan; Tutar, Ayhan; Stachel, Hellmuth
1
2014
Napoleon’s theorem and generalizations through linear maps. Zbl 1017.51016
Stachel, Hellmuth
1
2002
Infinite number of spheres through four tangents. (Unendlich viele Kugeln durch vier Tangenten.) Zbl 0828.51008
Stachel, Hellmuth
1
1995
Area-invariant pedal-like curves derived from the ellipse. Zbl 1497.53010
Reznik, Dan; Garcia, Ronaldo; Stachel, Hellmuth
1
2022
A spatial version of the theorem of the angle of circumference. Zbl 1442.51006
Glaeser, Georg; Odehnal, Boris; Stachel, Hellmuth
1
2019
Flexible polyhedral surfaces with two flat poses. Zbl 1375.52002
Stachel, Hellmuth
1
2015
Giving birth to the International Society for Geometry and Graphics – a documentation of the years 1988–1994. Zbl 1401.01022
Stachel, Hellmuth
1
2019
On instantaneous invariants of hyperbolic planes. Zbl 1371.70008
Inalcik, Abdullah; Ersoy, Soley; Stachel, Hellmuth
1
2017
Strophoids are auto-isogonal cubics. Zbl 1354.51022
Stachel, Hellmuth
1
2015
Area-invariant pedal-like curves derived from the ellipse. Zbl 1497.53010
Reznik, Dan; Garcia, Ronaldo; Stachel, Hellmuth
1
2022
The geometry of billiards in ellipses and their Poncelet grids. Zbl 1479.51022
Stachel, Hellmuth
3
2021
Isometric billiards in ellipses and focal billiards in ellipsoids. Zbl 1476.51014
Stachel, Hellmuth
3
2021
The universe of quadrics. Zbl 1434.51001
Odehnal, Boris; Stachel, Hellmuth; Glaeser, Georg
8
2020
Recalling thread constructions of quadrics. Zbl 1469.51012
Stachel, Hellmuth
2
2020
Steiner’s hat: a constant-area deltoid associated with the ellipse. Zbl 1467.51011
Garcia, Ronaldo; Reznik, Dan; Stachel, Hellmuth; Helman, Mark
2
2020
A spatial version of the theorem of the angle of circumference. Zbl 1442.51006
Glaeser, Georg; Odehnal, Boris; Stachel, Hellmuth
1
2019
Giving birth to the International Society for Geometry and Graphics – a documentation of the years 1988–1994. Zbl 1401.01022
Stachel, Hellmuth
1
2019
On instantaneous invariants of hyperbolic planes. Zbl 1371.70008
Inalcik, Abdullah; Ersoy, Soley; Stachel, Hellmuth
1
2017
The universe of conics. From the ancient Greeks to 21st century developments. Zbl 1354.51001
Glaeser, Georg; Stachel, Hellmuth; Odehnal, Boris
50
2016
Equicevian points of a triangle. Zbl 1342.51020
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
2
2015
Flexible polyhedral surfaces with two flat poses. Zbl 1375.52002
Stachel, Hellmuth
1
2015
Strophoids are auto-isogonal cubics. Zbl 1354.51022
Stachel, Hellmuth
1
2015
On the flexibility and symmetry of overconstrained mechanisms. Zbl 1353.52018
Stachel, Hellmuth
7
2014
Equicevian points and cubics of a triangle. Zbl 1319.51021
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
3
2014
On relaxed elastic lines of second kind on a curved hypersurface in the \(n\)-dimensional Euclidean space. Zbl 1307.49047
Sarioğlugil, Ayhan; Tutar, Ayhan; Stachel, Hellmuth
1
2014
On the synthesis of spatial cycloidal gears. Zbl 1293.70012
Figliolini, Giorgio; Stachel, Hellmuth; Angeles, Jorge
1
2013
A flexible planar tessellation with a flexion tiling a cylinder of revolution. Zbl 1266.51033
Stachel, Hellmuth
3
2012
A kinematic approach to Kokotsakis meshes. Zbl 1208.65030
Stachel, Hellmuth
8
2010
The hidden geometry in Vermeer’s ’the art of painting’. Zbl 1223.51031
Gutruf, Gerhard; Stachel, Hellmuth
1
2010
Mathematics. (Mathematik.) Zbl 1200.00001
Arens, Tilo; Hettlich, Frank; Karpfinger, Christian; Kockelkorn, Ulrich; Lichtenegger, Klaus; Stachel, Hellmuth
1
2008
A new look at the Ball-Disteli diagram and its relevance to spatial gearing. Zbl 1188.70013
Figliolini, Giorgio; Stachel, Hellmuth; Angeles, Jorge
5
2007
Another cubic associated with a triangle. Zbl 1171.51010
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
1
2007
Flexible octahedra in the hyperbolic space. Zbl 1100.52005
Stachel, Hellmuth
11
2006
Ivory’s theorem in hyperbolic spaces. Zbl 1051.51012
Stachel, Hellmuth; Wallner, Johannes
4
2004
Ivory’s theorem in the Minkowski plane. Zbl 1006.51018
Stachel, Hellmuth
1
2002
Napoleon’s theorem and generalizations through linear maps. Zbl 1017.51016
Stachel, Hellmuth
1
2002
Flexible cross-polytopes in the Euclidean 4-space. Zbl 0977.52028
Stachel, Hellmuth
13
2000
Higher order flexibility of octahedra. Zbl 0973.52016
Stachel, Hellmuth
6
1999
Open geometry. OpenGL + advanced geometry. Incl. 1 CD-ROM. Zbl 0917.68211
Glaeser, Georg; Stachel, Hellmuth
5
1999
On the tetrahedra in the dodecahedron. Zbl 0949.53010
Stachel, Hellmuth
2
1999
The development of the oloid. Zbl 0901.51017
Dirnböck, Hans; Stachel, Hellmuth
3
1997
Euclidean line geometry and kinematics in the 3-space. Zbl 0882.53013
Stachel, Hellmuth
2
1997
Infinite number of spheres through four tangents. (Unendlich viele Kugeln durch vier Tangenten.) Zbl 0828.51008
Stachel, Hellmuth
1
1995
The HEUREKA-polyhedron. Zbl 0826.51015
Stachel, H.
3
1994
Two remarkable movable frameworks. (Zwei bemerkenswerte bewegliche Strukturen.) Zbl 0754.51009
Stachel, Hellmuth
2
1992
Zu K. Schüttes Verallgemeinerungen des Satzes von Napoleon. (About K. Schüttes’ generalizations of the Theorem of Napoleon). Zbl 0727.51005
Stachel, H.
2
1991
Ein bewegliches Tetraederpaar. (A movable pair of tetrahedra). Zbl 0699.53012
Stachel, H.
1
1988
Mehrdimensionale Axonometrie. (Multidimensional axonometry). Zbl 0653.51018
Stachel, Hellmuth
1
1988
Zur Einzigkeit der Bricardschen Oktaeder. (Uniqueness of the Bricard octahedra). Zbl 0611.51011
Stachel, Hellmuth
10
1987
Bemerkungen über zwei räumliche Trilaterationsprobleme. Zbl 0501.51006
Stachel, H.
4
1982
Eine Anwendung der kinematischen Abbildung. Zbl 0473.51008
Stachel, Hellmuth
1
1981
Quasielliptische Schiebflächen mit unendlich vielen Schiebnetzen. I, II. Zbl 0318.53016
Stachel, Hellmuth
2
1975
Zur Kennzeichnung quasielliptischer und elliptischer Schiebnetze. Zbl 0291.53005
Stachel, Hellmuth
2
1974
Quasielliptische Schraubschiebflächen. Zbl 0241.53008
Stachel, Hellmuth
1
1972
Über Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Zbl 0216.43102
Stachel, H.
1
1971
Netzprojektion quasielliptischer Schraubschiebflächen. Zbl 0201.54003
Stachel, Hellmuth
4
1970
Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Zbl 0209.24803
Stachel, Hellmuth
3
1970
all top 5

Cited by 147 Authors

18 Stachel, Hellmuth
7 Reznik, Dan S.
6 Alexandrov, Victor A.
6 Gaifullin, Alexander A.
6 Garcia, Ronaldo A.
6 Legerský, Jan
6 Odehnal, Boris
5 Grasegger, Georg
5 Nawratil, Georg
4 Horváth, Ákos G.
4 Röschel, Otto
4 Schicho, Josef
4 Schulze, Bernd
3 Akopyan, Arseniy V.
3 Bobenko, Alexander Ivanovich
3 Izmestiev, Ivan
3 Rančić, Svetozar R.
3 Romakina, Lyudmila Nikolaevna
3 Velimirović, Ljubica S.
3 Whiteley, Walter John
2 Dewar, Sean
2 Gallet, Matteo
2 Malakhovskiĭ, Vladislav Stepanovich
2 Moses, Peter J. C.
2 Pech, Pavel
2 Ternullo, Maurizio
2 Zlatanovic, Milan Lj.
1 Abdel-Baky, Rashad A.
1 Agafonov, Sergey I.
1 Albrecht, Gudrun
1 Alluhaibi, Nadia
1 Alves Garcia, Ronaldo
1 Anatriello, Giuseppina
1 Angeles, Jorge
1 Barrow-Green, June Elizabeth
1 Bäsel, Uwe
1 Baverel, Olivier
1 Biswas, Arindam
1 Bizzarri, Michal
1 Blank, Yakov Pavlovich
1 Blazek, Jiri
1 Botvinovska, Switlana
1 Božić Dragun, Ivana
1 Chen, Houjun
1 Conci, Aura
1 Coutsias, Evangelos A.
1 Crâşmăreanu, Mircea
1 Daners, Daniel
1 Doan, Anh T.
1 Douthe, Cyril
1 Dragović, Vladimir
1 Duan, Zhenyun
1 Eren, Kemal
1 Ersoy, Soley
1 Fairley, Alexander Y.
1 Farnsworth, David Leroy
1 Fazekas, Péter
1 Figliolini, Giorgio
1 Gaifullin, Sergey A.
1 Gajić, Borislav
1 Georgiev, Georgi Hristov
1 Gfrerrer, Anton
1 Glaeser, Georg
1 Gyürki, Štefan
1 Hajja, Mowaffaq
1 Harary, Gur
1 Hauswirth, Laurent
1 Havlicek, Hans
1 Helman, Mark
1 Hirsch, David
1 Hu, Daniel
1 Itskovich, M. O.
1 Jaud, Daniel
1 Karpenkov, Oleg Nikolaevich
1 Kilner, Steven J.
1 Kimberling, Clark H.
1 Kitson, Derek
1 Klin, Mikhail H.
1 Koiller, Jair
1 Koncul, Helena
1 Kuleshov, Alexander S.
1 Kuwata, Takayasu
1 Lampa-Baczyńska, Magdalena
1 Lávička, Miroslav
1 Lee, Wen-Tzong
1 Lefkaditis, George E.
1 Lewis, Robert H.
1 Li, Yanlin
1 Li, Zijia
1 Liu, Jian
1 Maehara, Hiroshi
1 Martini, Horst
1 Molnár, Emil
1 Mostovenko, Alexander
1 Nassar, Hussein
1 Nguyen, Nicolas P.
1 Ognjanovic, Milosav
1 Pavlov, Milen Dimov
1 Pei, Donghe
1 Phan, Trung V.
...and 47 more Authors
all top 5

Cited in 57 Serials

24 Journal for Geometry and Graphics
14 Journal of Geometry
7 Beiträge zur Algebra und Geometrie
7 Computer Aided Geometric Design
7 Discrete & Computational Geometry
3 Journal of Soviet Mathematics
3 International Electronic Journal of Geometry
2 Acta Mechanica
2 American Mathematical Monthly
2 The Mathematical Gazette
2 Geometriae Dedicata
2 Meccanica
2 Monatshefte für Mathematik
2 Siberian Mathematical Journal
2 Historia Mathematica
2 Mechanism and Machine Theory
2 Moscow Mathematical Journal
2 Proceedings of the Steklov Institute of Mathematics
2 Arnold Mathematical Journal
1 Discrete Applied Mathematics
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mathematische Semesterberichte
1 Moscow University Mechanics Bulletin
1 Periodica Mathematica Hungarica
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Journal of Computational and Applied Mathematics
1 Matematički Vesnik
1 Mathematische Nachrichten
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Physica D
1 SIAM Journal on Discrete Mathematics
1 Computational Geometry
1 Aequationes Mathematicae
1 Elemente der Mathematik
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
1 The Electronic Journal of Combinatorics
1 Sbornik: Mathematics
1 Honam Mathematical Journal
1 Annals of Combinatorics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Forum Geometricorum
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Inverse Problems in Science and Engineering
1 Journal of Mathematics and the Arts
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematics and Mechanics of Complex Systems
1 European Journal of Mathematics
1 AIMS Mathematics
1 Annales Henri Lebesgue

Citations by Year

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