Differential Geometry and Geometric Structures

Hellmuth Stachel

Full Professor

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)1-58801/11320
Fax	(+43)-(0)1-58801/11399
Email	stachel@geometrie.tuwien.ac.at
Room	DA 08 L02 (8th 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, since 10/1980
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

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

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

T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger and H. Stachel. Arbeitsbuch Mathematik. 2. Aufl., Spektrum Akademischer Verlag, Heidelberg 2012, 684 p. (ISBN 978-3-8274-2410-5)
T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger and H. Stachel. Mathematik. 2. Aufl., Spektrum Akademischer Verlag, Heidelberg 2011, 1506 p. (ISBN 978-3-8274-2347-4)
H. Stachel. On the Rigidity of Polygonal Meshes. South Bohemia Mathematical Letters 19/1, 6-17 (2011).
G. Nawratil and H. Stachel. Composition of spherical four-bar-mechanisms. In D. Pisla et al. (eds.): New Trends in Mechanism Science, Springer 2010, (ISBN: 978-90-481-9688-3, e-ISBN: 978-90-481-9689-0), pp. 99-106
H. Gutruf and H. Stachel. The Hidden Geometry in Vermeer's 'The Art of Painting'. J. Geometry Graphics 14, 187-201 (2010).
H. Stachel. The Influence of Geometry on the Rigidity or Flexibility of Structures. Proc. IWSSIP 2010, Rio de Janeiro/Brazil, (ISBN 978-85-228-0565-5) pp. 24-29
H. Stachel. A kinematic approach to Kokotsakis meshes. Comput. Aided Geom. Des. 27, 428-437 (2010)
V. Alexandrov, H. Stachel and I. Kh. Sabitov. Preface to 'Rigidity and Related Topics in Geometry'. European J. Combin. 31, no. 4, 1035-1036 (2010)
H. Stachel. Remarks on Miura-ori, a Japanese Folding Method. Acta Technica Napocensis, Ser. Applied Mathematics and Mechanics 52, Vol. Ia (ISSN 1221-5872), 245-248 (2009)
G. Figliolini, H. Stachel and J. Angeles. The Computational Fundamentals of Spatial Cycloidal Gearing. In A. Kecskemèthy, A. Müller (eds.): Computational Kinematics, Springer, Berlin Heidelberg 2009, (ISBN: 978-3-642-01946-3, e-ISBN: 978-3-642-01947-0), pp. 375-384
S. Abu-Saymeh, M. Hajja and H. Stachel. Another cubic associated with the triangle. J. Geom. Graphics 11, 15-26 (2007)
G. Figliolini, H. Stachel and J. Angeles. A new look at the Ball-Disteli diagram and its relevance to spatial gearing. Mech. Mach. Theory 42/10, 1362-1375 (2007)
Descriptive Geometry Meets Computer Vision - The Geometry of Two Images. J. Geometry Graphics 10, 137-153 (2006)
Flexible Octahedra in the Hyperbolic Space. In A. Prekopa, E. Molnár (eds.): Non-euclidean geometries: János Bolyai memorial volume, Mathematics and its applications, vol. 581, Springer, New York 2006, (ISBN 978-0-387-29554-1) pp. 209-225
Descriptive Geometry in today's engineering curriculum. Transactions of FAMENA 29/2, 35-44 (2005)
Teaching Spatial Kinematics for Engineers. Proc. ICEE 2005, Gliwice/Poland, vol. 2, 845-851
Schraubtorsen als Zahnflanken. Informationsblätter der Geometrie 23, Heft 2, 46-50 (2004)
On Arne Dür's equation concerning central axonometries. J. Geometry Graphics 8, 215-224 (2004)
Ivory's theorem in hyperbolic spaces (with J. Wallner). [Preprint: Technical Report No. 107, September 2003] Sib. Math. J. 45, no. 4, 785-794 (2004). russ: Sib. Mat. Zh.45, no. 4, 946-959
On Jack Phillips' Spatial Involute Gearing. Proc. 11th ICGG,Guangzhou/China, August 1-5, 2004 (ISBN 5-8037-0184), 43-48
Remarks on A. Hirsch's Paper concerning Villarceau Sections. J. Geometry Graphics 6, 133-139 (2002)
Configuration Theorems on Bipartite Frameworks. Rend. Circ. Mat. Palermo, II. Ser., 70, 335-351 (2002)
Napoleon's Theorem and Generalizations Through Linear Maps. Beitr. Algebra Geom.43, 433-444 (2002) [Preprint ]
Remarks on Bricard's Flexible Octahedra of Type 3. Proc. 10th ICGG, Kiev (Ukraine), July 28 - Aug. 3, 2002: Vol. 1, 8-12
Instantaneous spatial kinematics and the invariants of the axodes. Proceedings Ball 2000 Symposium, Cambridge 2000, no. 23, 14 p.

Recent Talks

294 On the flexibility of Kokotsakis meshes
Oct. 13, 2011: Workshop on Rigidity, Fields Institute, Oct. 11-14, Toronto/Canada
290 Some news about flexible Kokotsakis meshes
June 21, 2011: Conference on Geometry - Theory and Applications, June 20-24, Vorau/Austria (invited lecture)
284 Wozu Geometrie?
Nov. 1, 2010: Feierliche Ehrenpromotion, TU Dresden/Germany
280 Reconstructing Vermeer's Perspective in 'The Art of Painting'.
August 7, 2010: 14th ICGG, Aug. 5-9, 2010, Kyoto/Japan
279 On the role of Descriptive Geometry in the different curricula.
June 26, 2010: moNGeometrija 2010, June 24-27, 2010, Belgrade/Serbia
276 Festvortrag: 30 Jahre "Strobl".
Nov. 4, 2009: 30. Fortbildungstagung für Geometrie, Nov. 3-6, 2009, Strobl/Austria
275 Flexible Kokotsakis Meshes.
Sept. 21, 2009: ÖMG-DMV Congress, Sept. 20-25, 2009, Graz/Austria
270 The Computational Fundamentals of Spatial Cycloidal Gearing.
May 8, 2009: Computational Kinematics 2009, May 6-9, Duisburg/Germany
267 Falten und Verebnen polyedrischer Figuren.
[Folding and unfolding polyhedra] Nov. 4, 2008: 29. Fortbildungstagung für Geometrie, Nov. 3-6, 2008, Strobl/Austria
264 Gears and belt drives for non-uniform transmission.
Sept. 18, 2008: EUCOMES08 - Second European Conference on Mechanism Science, Sept. 17-20, 2008, Cassino/Italy
262 Comments on helical developables.
Aug. 4, 2008: 13th ICGG - Internat. Conference on Geometry and Graphics, Aug. 4-8, 2008, Dresden/Germany
257 A proposal for a proper definition of higher-order rigidity.
July 13, 2007: Tensegrity Workshop 2007, July 9-13, 2007, La Vacquerie/France
256 The geometry behind the numerical reconstruction of two photos.
June 8, 2007: ICEGD 2007, 2nd International Conference on Engineering Graphics and Design, June 7-10, Galati/Romania
255 From Rytz to the covariance ellipsoid.
June 5, 2007: Conference on Geometry: Theory and Applications, June 3-8, Vorau/Austria
254 The Status of Todays Descriptive Geometry Related Education (CAD/CG/DG) in Europe.
May 12, 2007: 40th anniversary of the Japan Society for Graphics Science, May 12-13, The University of Tokyo
247 On Martin Disteli's Main Achievements in Spatial Gearing: Disteli's Diagram.
Feb. 22, 2006: EuCoMeS - 1st European Conference on Mechanism Science, Obergurgl/Austria