Differential Geometry and Geometric Structures

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

Phone	(+43)-(0)1-58801/10434
Fax	(+43)-(0)1-58801/10499
Email	stachel@dmg.tuwien.ac.at
Room	DA 05 L02 (5th floor)

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
Professor for Geometry, Vienna University of Technology, 10/1980 - 9/2012
Corresponding member, Austrian Academy of Sciences, since 1991
Editor in Chief of the 'Journal for Geometry and Graphics', since 1997
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

Research Interests

Theory of Linear Mappings
Classical Geometry and its Applications
Descriptive Geometry
Computer Aided Design
Kinematics
Flexible Structures
Geometry of Mechanisms
Elementary Geometry

Publications

List of publications

Former Teaching Activities

Courses for Students of Mechanical Engineering
- Geometric Kinematics
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

Selected Recent Publications

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).
H. Stachel. Reflection in quadratic surfaces. Ann. Math. Inform. 48, 51-64 (2018).
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))
T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Arbeitsbuch Mathematik, 4. Aufl., Springer Spektrum, Heidelberg 2018, 445 p. (ISBN 978-3-662-56749-4, ISBN 978-3-662-56750-0 (eBook))
T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Ergänzungen und Vertiefungen zu Arens et al., Mathematik, 2. Aufl., Springer Spektrum, Heidelberg 2017, 335 p. (ISBN 978-3-662-53584-4, ISBN 978-3-662-53585-1 (eBook))
G. Glaeser, H. Stachel, and B. Odehnal. The Universe of Conics, Springer Spektrum, Heidelberg 2016, 488 p. (ISBN 978-3-662-45449-7, 978-3-662-45450-3 (eBook))
H. Stachel. Strophoids are auto-isogonal cubics. G - Slovak Journal for Geometry and Graphics (ISSN 1336-524X) 12/24, 45-59 (2015).
G. Figliolini, H. Stachel, and J. Angeles. A Spatial Version of Octoidal Gears via the Generalized Camus Theorem. J. Mechanisms Robotics 8/2, 021015, 13 pages (2016).
S. Abu-Saymeh, M. Hajja, and H. Stachel. Equicevian Points of a Triangle. Amer. Math. Monthly 122/10, 995-1000 (2015)
H. Stachel. Flexible Polyhedral Surfaces With Two Flat Poses. In special issue: B. Schulze (ed.), Rigidity and Symmetry. Symmetry 7(2), 774-787 (2015); doi:10.3390/sym7020774
H. Gutruf and H. Stachel. The hidden geometry in Vermeer's 'The Art of Painting'. Notices of the ICCM 2/1, 27-36 (2014).
E. Can and H. Stachel. A planar parallel 3-RRR robot with synchronously driven cranks. Mech. Mach. Theory 79, 29-45 (2014)
H. Stachel. On the flexibility and symmetry of overconstrained mechanisms. Phil. Trans. R. Soc. A 372, num. 2008, 20120040 (2014)
T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger und H. Stachel. Grundwissen Mathematikstudium - Analysis und Lineare Algebra mit Querverbindungen. Springer Spektrum, Heidelberg 2013, 1108 p. ISBN 978-3-8274-2308-5.
H. Stachel. On the Rigidity of Polygonal Meshes. South Bohemia Mathematical Letters 19/1, 6-17 (2011).
H. Stachel. A kinematic approach to Kokotsakis meshes. Comput. Aided Geom. Des. 27, 428-437 (2010)

Recent Talks

340 On the Interdisciplinarity of Geometry.
October 29, 2018: 14th Miklós Iványi International PhD & DLA Symposium, University of Pécs, Faculty of Engineering and Information Technology
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
335 Die Geschichte der Darstellenden Geometrie in Österreich.
11. Jänner, 2018: Oberseminar, AG Didaktik und Geschichte der Mathematik, Bergische Universität Wuppertal
334 Die Rolle der Geometrie bei Navigationssystemen.
9. November, 2017: 38. Fortbildungstagung für Geometrie, Strobl am Wolfgangsee
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
324 Two examples of curved foldings.
August 6, 2016: 17th International Conference on Geometry and Graphics, ICGG 2016, Aug. 4-8, Beijing Institute of Technology
323 Applied Geometry: Foldings and Unfoldings.
July 13, 2016: keynote, INTE & ISTEC 2016, July 13-15, Vienna University of Technology
320 Strophoids - cubic curves with remarkable properties.
Sept. 17, 2015: Slovak-Czech Conference on Geometry and Graphics, Sept. 14-18, Terchová/Slovakia
316 The design of a new sun-reflection-dial in Heiligenkreuz.
Sept. 16, 2014: Conference on Geometry and Graphics, Sept. 15-18, Vlachovice/Czech Republic
309 Basics of Epipolar Geometry.
May 16, 2014: Seminar, Institute of Mathematics and Physics, Faculty of Mechanical Eng'g, Slovak University of Technology (STU), Bratislava/Slovakia
305 Kokotsakis meshes and flexible quad meshes.
June 29, 2013: Joint International Mathematics Meeting, Special Session: "Articulated Systems: Combinatorics, Geometry and Kinematics", University of Alba Iulia/Romania
302 Descriptive Geometry - Image-Based Spatial Reasoning.
May 6, 2013: The Visual Language of Technique, between Science and Art. Heritage and Expectations in Research and Teaching. 1. History and Epistemology, Politecnico di Milano, Milan/Italy
301 Wer die Geometrie begreift, vermag in dieser Welt alles zu verstehen.
Nov. 8, 2012: 33. Fortbildungstagung für Geometrie, Nov. 5-8, 2012, Strobl/Austria
298 Self-motions of the Kokotsakis tesselation
July 16, 2012: BIRS Workshop 12w5069: Rigidity Theory: Progress, Applications and Key Open Problem, July 15-20, 2012, Banff/Canada
285 Wozu Geometrie?
Nov. 1, 2010: Feierliche Ehrenpromotion, TU Dresden/Germany
281 Reconstructing Vermeer's Perspective in 'The Art of Painting'.
August 7, 2010: 14th ICGG, Aug. 5-9, 2010, Kyoto/Japan
277 Festvortrag: 30 Jahre "Strobl".
Nov. 4, 2009: 30. Fortbildungstagung für Geometrie, Nov. 3-6, 2009, Strobl/Austria