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Hellmuth Stachel
Professor emeritus
Institut für Diskrete Mathematik und Geometrie
Forschungsgruppe Differentialgeometrie und Geometrische Strukturen
Technische Universität Wien
Wiedner Hauptstraße 8-10/104
A-1040 Wien, Austria
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Curriculum Vitae
- Mag. rer. nat., University of Graz, 1965
- Dr. phil. in Mathematics, University of Graz, 1969
- Universitätsassistent, Institut für Geometrie, Graz Univ. of Tech., 1967-1976
- Habilitation in Geometry, Graz University of Technology, 1971
- Associate Professor for Geometry, Graz Univ. of Technology, 1976-1978
- Professor for Geometry, Mining University Leoben, 1979-1980
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Professor for Geometry, Vienna University of Technology, 10/1980 - 9/2011
- Corresponding member, Austrian Academy of Sciences, since 1991
- Editor in Chief of the 'Journal for Geometry and Graphics', 1997-2020
- Winner of the Steve M. Slaby Award 2004
- Dr.rer.nat. h.c., Technische Universität Dresden, Nov. 2010
- Emeritation from Vienna Univ. of Technology, Sept. 30, 2011
- Honorary President of the International Society for Geometry and Graphics, Aug. 2018
- Golden Doctor, University of Graz, May 2019
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Research Interests
Publications
List of publications
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Former Teaching Activities
- Courses for Students of Mechanical Engineering
- Courses for Students of Geometry and Mathematics
- Geometric Modelling and Visualisation
- Projective Geometry
- Linear Algebra
- Kinematics
- Geometric Mappings
- Non-Euclidean Geometry
- Algebraic Curves
- Geometry Seminar
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Selected Recent Publications
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H. Stachel.
The design of skew gears from the geometric point of view.
In I. Bajšanski, M. Jovanović (eds.): Geometry, Graphics and Design in the Digital Age. Proceedings MoNGeometrija2023, Faculty of Technical Sciences, University of Novi Sad (ISBN 978-86-6022-575-9), pp. 217-228.
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T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel.
Mathematik, 5. Aufl., Springer Spektrum, Heidelberg 2022,
1666 p. (ISBN 978-3-662-64388-4, 978-3-662-64389-1 (eBook))
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H. Stachel.
On the Motion of Billiards in Ellipses.
Europ. J. Math. 8/4 (Special Issue: New Developments in Integrable Systems) 1602-1622 (2022), DOI 10.1007/s40879-021-00524-2
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T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger and H. Stachel.
Grundwissen Mathematikstudium - Analysis und Lineare Algebra mit Querverbindungen, 2nd edition, Springer Spektrum, Berlin 2021,
1182 p., 684 illus. (ISBN 978-3-662-63312-0, 978-3-662-63313-7 (eBook))
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H. Stachel.
The Geometry of Billiards in Ellipses and their Poncelet Grids.
J. Geom. 112:40 (2021), DOI 10.1007/s00022-021-00606-2
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H. Stachel.
Isometric Billiards in Ellipses and Focal Billiards in Ellipsoids.
J. Geom. Graphics 25/1, 97-118 (2021).
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H. Stachel.
Recalling Thread Constructions of Quadrics.
J. Geom. Graphics 24/2, 143-157 (2020).
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Ch. Karpfinger und H. Stachel.
Lineare Algebra, Springer Spektrum, Berlin 2020,
431 p. (ISBN 978-3-662-61339-9, 978-3-662-61340-5 (eBook))
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B. Odehnal, H. Stachel, and G. Glaeser.
The Universe of Quadrics, Springer-Verlag GmbH Germany, Berlin Heidelberg 2020,
606 p., 365 illus. (ISBN 978-3-662-61052-7, 978-3-662-61053-4 (eBook))
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H. Stachel. The Evolution of Descriptive Geometry in Austria.
In É. Barbin, M. Menghini, K. Volkert (eds): The Spread of a Polytechnic Art (The Legacy of Gaspard Monge), Springer 2019, pp. 181-195.
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G. Figliolini, H. Stachel, and J. Angeles.
Kinematic Properties of Planar and Spherical Logarithmic Spirals:
Applications to the Synthesis of Involute Tooth Profiles.
Mech. Mach. Theory 136, 14-26 (2019).
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H. Stachel.
Reflection in quadratic surfaces.
Ann. Math. Inform. 48, 51-64 (2018).
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T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel.
Mathematik, 4. Aufl., Springer Spektrum, Heidelberg 2018,
1660 p. (ISBN 978-3-662-56740-1, 978-3-662-56741-8 (eBook))
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G. Glaeser, H. Stachel, and B. Odehnal.
The Universe of Conics, Springer Spektrum, Heidelberg 2016,
488 p., 370 illus. (ISBN 978-3-662-45449-7, 978-3-662-45450-3 (eBook))
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Recent Talks
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351 On the Diagonals of Billiards.
Aug. 15, 2022: 20th International Conference on Geometry and Graphics (online),
Aug. 15-19, 2022, São Paulo/Brazil
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349 Billiards in ellipses and ellipsoids.
Sept. 8, 2021: 22nd Scientific-Professional Colloquium on Geometry and Graphics, Sept. 5-9, 2021, \v Ciovo/Croatia
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348 String constructions of quadrics.
Jan. 18, 2021: 19th International Conference on Geometry and Graphics (online),
Jan. 18-22, 2021, São Paulo/Brazil
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346 Plücker's conoid, hyperboloids of revolution and orthogonal hyperbolic paraboloids.
Sept. 21, 2020: 7th International Conference - moNGeometrija2020,
Sept. 18-21, 2020, Belgrade/Serbia
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345 Movement of conics on quadrics.
September 11, 2019: 5th Slovak-Czech Conference on Geometry and Graphics,
Sept. 9-12, 2019, Trenčianske Teplice/Slovakia
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340 On the Interdisciplinarity of Geometry.
October 29, 2018: 14th Miklós Iványi International
PhD & DLA Symposium, University of Pécs/Hungary, Faculty of Engineering and Information Technology
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339 Between Rigidity and Flexibility.
September 24, 2018: Workshop on
Rigidity and Flexibility, ESI Vienna/Austria
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337 Two Remarkable Spherical Arrangements of Circles.
August 4, 2018: 18th International Conference on Geometry and Graphics, 40th Anniversary, Aug. 3-7, Politecnico di Milano/Italy
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335 Die Geschichte der Darstellenden Geometrie in
Österreich.
11. Jänner, 2018: Oberseminar, AG Didaktik und Geschichte
der Mathematik, Bergische Universität Wuppertal/Germany
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334 Die Rolle der Geometrie bei Navigationssystemen.
9. November, 2017: 38. Fortbildungstagung für Geometrie,
Strobl am Wolfgangsee
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327 Mathematisches zur Sonnenreflexionsuhr.
February 24, 2017: Präsentation des Buches von F. Mayrhofer, G.
Liechtenstein (Hrsg.): Die Sonnenreflexionsuhr im Stift Heiligenkreuz,
Be&Be-Verlag 2017, Stift Heiligenkreuz
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285 Wozu Geometrie?
Nov. 1, 2010: Feierliche Ehrenpromotion, TU Dresden/Germany
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Quick Links
![JGG cover](./img/jgg_180x254.png) Journal for Geometry and Graphics (JGG)
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External Links
New Books
![Conics](./img/Kegelschnitte_180x239.png) G. Glaeser, H. Stachel, and B. Odehnal:
The Universe of Conics
![Quadrics](./img/quadrics_180x255.png) B. Odehnal, H. Stachel, and G. Glaeser:
The Universe of Quadrics
T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger and
H. Stachel: Grundwissen Mathematikstudium 2nd edition
T. Arens, F. Hettlich, Ch. Karpfinger,
U. Kockelkorn, K. Lichtenegger und H. Stachel: Mathematik, 5th edition
Web Site of JGG, Heldermann Verlag
![ISGG](./img/isgg-klein_180x80.gif) International Society for Geometry and Graphics
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