Differential Geometry and Geometric Structures
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Hellmuth Stachel: Publications


 

Open Geometry

Mathematik

Mathematik2

Grundwissen

Grundwissen_AB

Arbeitsbuch Mathematik, 3. Aufl.

Mathematik3

Ks

Ergänzungen und Vertiefungen zu Mathematik, 2. Aufl.

Books

  1. G. Glaeser and H. Stachel. Open Geometry: OpenGL + Advanced Geometry. Springer, New York, 1999. ISBN 0-387-98599-9. [Zbl].
  2. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Mathematik. Spektrum Akademischer Verlag, Heidelberg 2008, 1500 p. (ISBN 978-3-8274-1758-9)
  3. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Arbeitsbuch Mathematik. Spektrum Akademischer Verlag, Heidelberg 2009, 683 p. (ISBN 978-3-8274-2123-4)
  4. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Ergänzungen und Vertiefungen zu Mathematik. Spektrum Akademischer Verlag, Heidelberg 2009, 244 p. (ISBN 978-3-8274-2124-1)
  5. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Mathematik zum Mitnehmen. Spektrum Akademischer Verlag, Heidelberg 2010, 232 p. (ISBN 978-3-8274-2494-5)
  6. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Mathematik, 2. Aufl., Spektrum Akademischer Verlag, Heidelberg 2011, 1506 p. (ISBN 978-3-8274-2347-4)
  7. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Arbeitsbuch Mathematik, 2. Aufl., Spektrum Akademischer Verlag, Heidelberg 2012, 684 p. (ISBN 978-3-8274-2410-5)
  8. T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger und H. Stachel. Grundwissen Mathematikstudium - Analysis und Lineare Algebra mit Querverbindungen. Springer Spektrum, Heidelberg 2013, 1172 p. (ISBN 978-3-8274-2308-5)
  9. T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger und H. Stachel. Arbeitsbuch Grundwissen Mathematikstudium - Analysis und Lineare Algebra mit Querverbindungen. Spektrum Akademischer Verlag, Heidelberg 2012, 400 p. (ISBN 978-3-8274-3001-4)
  10. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Arbeitsbuch Mathematik, 3. Aufl., Springer Spektrum, Heidelberg 2015, 441 p. (ISBN 978-3-642-54947-2, ISBN 978-3-642-54948-9 (eBook))
  11. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger und H. Stachel. Mathematik, 3. Aufl., Springer Spektrum, Heidelberg 2015, 1630 p. (ISBN 978-3-642-44918-5, 978-3-642-44919-2 (eBook))
  12. 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))
  13. 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))

Articles

  1. H. Stachel. Elementare Bestimmung der gefährlichen Fläche beim räumlichen Rückwärtsschnitt. Elem. Math. 22 (1967), 34-37. [Zbl], [MR].
  2. H. Stachel. Radlinien als Hüllkurvenpaare. Math. Nachr. 45 (1970), 167-182. [Zbl], [MR].
  3. H. Stachel. Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Math. Nachr. 46 (1970), 189-208. [Zbl], [MR].
  4. H. Stachel. Netzprojektion quasielliptischer Schraubschiebflächen. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 178 (1970), 379-402. [Zbl], [MR].
  5. H. Stachel. Über Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Z. Angew. Math. Mech. 51 (1971), 147-149. [Zbl], [MR].
  6. H. Stachel. Quasielliptische Schraubschiebflächen. Monatsh. Math. 76 (1972), 254-263. [Zbl], [MR].
  7. H. Stachel. Zum Umriss der Drehflächen. Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. 10 (1972), 236-243. [Zbl], [MR].
  8. S. Kunze and H. Stachel. Über ein sechsgliedriges räumliches Getriebe. Elem. Math. 29 (1974), 25-32. [Zbl], [MR].
  9. H. Stachel. Zur Kennzeichnung quasielliptischer und elliptischer Schiebnetze. Arch. Math. (Basel) 25 (1974), 431-437. [Zbl], [MR].
  10. H. Stachel. Quasielliptische Schiebflächen mit unendlich vielen Schiebnetzen I. Math. Nachr. 68 (1975), 239-254. [Zbl], [MR].
  11. H. Stachel. Quasielliptische Schiebflächen mit unendlich vielen Schiebnetzen II. Math. Nachr. 68 (1975), 255-264. [Zbl], [MR].
  12. H. Stachel. Mehrfach zerlegbare ebene Bewegungsvorgänge. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 184 (1975), 65-82. [Zbl], [MR].
  13. H. Stachel. Quasielliptische Schiebflächen mit einparametriger Bewegungsgruppe. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 184 (1975), 487-498. [Zbl], [MR].
  14. H. Stachel. Zur quasielliptischen Differentialgeometrie. Ber. Math.-Statist. Sekt. Forschungszentrum Graz 80 (1977), 38. [Zbl], [MR].
  15. H. Stachel. Trochoidenhüllbahnen in Grenzfällen. J. Mech. Mach. Theory 13 (1978), 273-280.
  16. H. Stachel. Fundamentalsätze der quasielliptischen Differentialgeometrie. J. Geom. 13 (1979), 144-153. [Zbl], [MR].
  17. H. Stachel. Über zweiparametrige ebene Bewegungsvorgänge. Monatsh. Math. 88 (1979), 45-54. [Zbl], [MR].
  18. H. Stachel. Strahlflächen im quasielliptischen Raum. Ber. Math.-Statist. Sekt. Forschungszentrum Graz 120 (1979). [Zbl], [MR].
  19. H. Stachel. Eine Ortsaufgabe und der Satz von Ivory. Elem. Math. 37 (1982), 97-103. [Zbl], [MR].
  20. H. Stachel. Eine Anwendung der kinematischen Abbildung. In Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl., 108-111, 1981. [Zbl].
  21. H. Stachel. Bemerkungen über zwei räumliche Trilaterationsprobleme. Z. Angew. Math. Mech. 62/7 (1982), 329-341. [Zbl], [MR].
  22. H. Stachel. Zur Gruppe der ebenen Bewegungen. ÖMG-Didaktikreihe 9 (1982), 186-200.
  23. H. Stachel. Anwendungsorientierte Maßaufgaben zur Schulung der Raumanschauung, Skripten zur Lehrerfortbildung des BMfUK, Hefte 125 und 132, 1982/83.
  24. H. Stachel. Spiegelung und Berechnung im DG-Unterricht. Inf.Bl. Darst. Geom. 2/1 (1983), 23-29.
  25. H. Stachel. Landkarten in der Darstellenden Geometrie. Inf.Bl. Darst. Geom. 2/2 (1983), 24-30.
  26. H. Stachel. Bemerkungen zur sphärischen Kreispunktkurve. Ber. Math.-Statist. Sekt. Forschungszentrum Graz 222 (1984), 6 pages.
    Proc. 2nd Second Austrian Geometry Colloquium in Rein. [Zbl], [MR].
  27. H. Stachel. Deformable frameworks with common knot-paths. In Z. Yuwan and S. Slaby, editors, Proc. Internat. Conf. on Engineering and Computer Graphics, Beijing 1984: pp. 76-80, 1984.
  28. H. Stachel. Exercises in applied descriptive geometry. In Z. Yuwan and S. Slaby, editors, Proc. Internat. Conf. on Engineering and Computer Graphics, Beijing 1984: pp. 200-205, 1984.
  29. H. Stachel. Die zweiten Krümmungsmitten bei ebenen Zwangläufen. Mech. Mach. Theory 20 (1985), 409-414.
  30. H. Stachel. Descriptive geometry and scientific research in geometry. Engineering Graphics Journal 6/2 (1985), 1-4.
  31. H. Stachel. Constructive differential geometry. Engineering Graphics Journal 6 (1985), No. 2, 5-37 and No. 3, 1-11.
  32. H. Stachel. Zur Parabelkonstruktion von H. Domkowitsch. Inf. Bl. Darst. Geom. 5/2 (1986), 37.
  33. H. Stachel. Zur Einzigkeit der Bricardschen Oktaeder. J. Geom. 28 (1987), 41-56. [Zbl], [MR].
  34. H. Stachel. Mehrdimensionale Axonometrie. In Proceedings of the Congress of Geometry, Thessaloniki/Greece 1987: pp. 159-168, 1988. [Zbl], [MR].
  35. H. Stachel and W. Fuhs. Circular pipe-connections. Computers & Graphics 12 (1988), 53-57.
  36. H. Stachel. Ein bewegliches Tetraederpaar. Elem. Math. 43 (1988), 65-75. [Zbl], [MR].
  37. W. Fuhs and H. Stachel. Applied descriptive geometry problems. In Slaby and Stachel (eds). Proc. Third Internat. Conf. on Engineering Graphics and Descriptive Geometry, July 11-16, 1988, Vienna/Austria: pp. 165-168, 1988. [Zbl], [MR].
  38. H. Stachel. Einige metrische Kegelschnittseigenschaften. Praxis Math. 31 (1989), 244-247. [MR].
  39. H. Stachel and W. Rath. A 2D-CAD system for Austrian schools. In Proceedings of the 2nd Internat. Conf. on Computer Aided Drafting Design and Manufacturing Technology, Oct. 23-28, 1989, Hangzhou/China: pp. 170-172, 1989.
  40. H. Stachel. Das wissenschaftliche Werk Fritz Hohenbergs. In Fritz Hohenberg-Gedächtniskolloquiums, 30. Mai - 6. Juni 1989, Seggauberg/Austria: pp. 1-10, 1989.
  41. W. Rath and H. Stachel. Bemerkungen zu unserem Zeichenpaket CAD-2D. Inf. Bl. Darst. Geom. 9/2 (1990), 1-7.
  42. H. Stachel. Geometrie - Versuch einer Standortbestimmung. In Vortragsauszüge I (Plenarvorträge) des Mathematikerkongresses der DDR, 10.- 14. Sept. 1990, Dresden: pp. 37-41, 1990.
  43. H. Stachel. Darstellende Geometrie und Graphische Datenverarbeitung. In J. L. W. Encarnação, J. Hoschek, and J. Rix, editors, Geometrische Verfahren der Graphischen Datenverarbeitung, Springer, Berlin Heidelberg, 1990 (ISBN 3-540-53011-8): pp. 168-179, 1990.
  44. H. Stachel. The right-angle-theorem in four dimensions. J. Theoretical Graphics and Computing 3 (1990), 4-13.
  45. H. Stachel. Zu K. Schüttes Verallgemeinerung des Satzes von Napoleon. Elem. Math. 46 (1991), 25-27. [Zbl], [MR].
  46. H. Stachel. Nonuniform chain-wheel drives. In M. Okrouhl'ik and L. Pust (eds), Proc. Eighth World Congress on the Theory of Machines and Mechanisms, Aug. 26-31, 1991, Prague: vol. 5, pp. 1343-1346, 1991.
  47. H. Stachel. Parallel projections in multidimensional space. In H. P. Santo, editor, Compugraphics `91 - First Internat. Conf. on Computational Graphics and Visualization Techniques, Sept. 16-20, 1991, Sesimbra/Portugal: vol. I, pp. 119-128, 1991.
  48. H. Stachel. Zwei bemerkenswerte bewegliche Strukturen. J. Geom. 43 (1992), 14-21. [Zbl], [MR].
  49. H. Stachel. Educational software for descriptive geometry. In V. O. Thomas and W. P. Lewis (eds), Proc. 5th Internat. Conf. on Engineering Computer Graphics and Descriptive Geometry, Aug. 17-21, 1992, Melbourne/Australia: vol. 1, pp. 305-307, 1992.
  50. H. Stachel and H. Abdelmoez. Voronoi diagrams and offsets, an algorithm based on descriptive geometry. In H. P. Santo (ed), Compugraphics '92 - Second Internat. Conf. on Computational Graphics and Visualization Techniques, Dec. 14-17, 1992, Lisbon: pp. 159-166, 1992.
  51. H. Stachel and H. Abdelmoez. Voronoi diagrams and offsets of polyhedra. In Internat. Conf. on Applied Informatics, Aug. 23-26, 1993, Eger/Hungary: pp. 1-10, 1993.
  52. H. Stachel. On the identity of polyhedra. Amer. Math. Monthly 101/2 (1994), 162-165. [Zbl], [MR].
  53. H. Stachel. Degenerate intersection in solid modeling. In K. Suzuki and K. Yoshida (eds), Proc. 6th Internat. Conf. on Engineering Computer Graphics and Descriptive Geometry, Aug. 19-23, 1994, Tokyo: vol. 1, pp. 191-195, 1994.
  54. H. Stachel. Descriptive Geometry, the art of grasping spatial relations. In K. Suzuki and K. Yoshida (eds), Proc. 6th Internat. Conf. on Engineering Computer Graphics and Descriptive Geometry, Aug. 19-23, 1994, Tokyo: vol. 2, pp. 533-535, 1994.
  55. H. Stachel. Euklidische Kurven- und Flächentheorie. In O. Giering and J. Hoschek (eds), Geometrie und ihre Anwendungen, Hanser, Munich 1994: pp. 43-70. [Zbl], [MR].
  56. H. Stachel. The HEUREKA-polyhedron. Proc. 3rd Internat. Conference, Sept. 2-7, 1991, Szeged/Hungary.
    In K. Böröcky and G. Fejes Tóth (eds), Intuitive geometry (Szeged, 1991), vol. 63 of Colloq. Math. Soc. János Bolyai, North-Holland, Amsterdam 1994, (ISBN 0-444-81906-1): pp. 447-459. [Zbl], [MR].
  57. J. Szabó, H. Stachel, and H. Vogel. Ein Satz über die Zentralaxonometrie. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 203 (1994), 3-11. [Zbl], [MR].
  58. H. Stachel. Unendlich viele Kugeln durch vier Tangenten. Math. Pannon. 6 (1995), 55-66, Festschrift for Hans Vogler on the occasion of his 60th birthday. [Zbl], [MR].
  59. H. Stachel. Computer animation, a tool for the design of mechanisms. In B. Kovács and Z. Kovács, editors, International Conference on Applied Informatics, August 23-25, 1995, Eger/Hungary: pp. 127-139.
  60. H. Stachel. Zur Kennzeichnung der Zentralprojektionen nach H. Havlicek. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 204 (1995), 33-46 (1996). [Zbl], [MR].
  61. A. Elsonbaty and H. Stachel. Generating solids by sweeping polyhedra. In A. Wyzykowski et al. (eds), Proc. 7th Internat. Conf. on Engineering Computer Graphics and Descriptive Geometry, July 18-22, 1996, Cracow/Poland (ISBN 83-904805-5-7): vol. 1, pp. 245-249
    J. Geom. Graphics 1 (1997), 5-12. [Zbl].
  62. D. Haase and H. Stachel. Almost-orthonormal vector systems. Beitr. Algebra Geom. 37 (1996), 367-381. [Zbl], [MR].
  63. H. Stachel. Flexing models of quadrics. In SCG'96, Proc. Seminars on Computational Geometry, Sept. 4-6, 1996, Kočovce/Slovakia: vol. 5, pp. 103-113, 1996.
  64. H. Stachel. A family of multiply decomposable Euclidean motions. Proc. of the 5th conference, Budapest 1995.
    In I. Bárány and K. Böröcky (eds), Intuitive geometry (Budapest, 1995), vol. 6 of Bolyai Soc. Math. Stud., János Bolyai Math. Soc., Budapest 1997 (ISBN 963-8022-89-2): pp. 413-427, 1997. [Zbl], [MR].
  65. H. Stachel. Euclidean line geometry and kinematics in the 3-space. In N. K. S. N. K. Artémiadis (ed), Proc. 4th International Congress of Geometry, May 26 - June 1, 1996, Thessaloniki/Greece. Giachoudis-Giapoulis, Thessaloniki 1997 (ISBN 960-7425-11-1): pp. 380-391. [Zbl], [MR].
  66. H. Stachel. Coordinates - a survey on higher geometry. Computer Networks and ISDN Systems 29 (1997), 1645-1654.
  67. H. Dirnböck and H. Stachel. The development of the oloid. J. Geom. Graphics 1 (1997), 105-118. [Zbl], [MR].
  68. G. Glaeser and H. Stachel. Open geometry - a graphics programming library based on open GL. In Proc. 3rd Internat. Conf. on Applied Informatics, Aug. 24-28, 1997, Eger-Noszvaj/Hungary: vol. 1, pp. 119-122, 1997.
  69. H. Stachel. A remarkable overconstrained spherical motion. In J. Lenarčič and M. Husty (eds), Advances in robot kinematics: analysis and control (Salzburg, 1998), Kluwer Acad. Publ., Dordrecht, 1998 (ISBN 0-7923-5169-X): pp. 287-296. [Zbl], [MR].
  70. H. Stachel. New applications of geometry. J. Geom. Graphics 2 (1998), 151-159. [MR].
  71. H. Stachel. Infinitesimal flexibility of higher order for a planar parallel manipulator. Proc. Gyula Strommer national memorial conference, May 1-5, 1999, Balatonfüred/Hungary.
    In G. Karáné, H. Sachs, and F. Schipp (eds), Topics in Algebra, Analysis and Geometry, BPR Kiadó, 1999 (ISBN 963-03-8502-3): pp. 343-353. [Zbl].
  72. H. Stachel. Higher-order flexibility for a bipartite planar framework. In A. Kecskeméthy, M. Schneider, and C. Woernle (eds), Advances in Multibody Systems and Mechatronics, Inst. f. Mechanik und Getriebelehre, TU Graz, Duisburg 1999 (ISBN 3-9501108-0-1): pp. 345-357.
  73. H. Stachel. Stanko Bilinski. Almanach 1998/99 der Österr. Akad. Wiss. 149 (1999), 421-429.
  74. H. Stachel. Walter Wunderlich. Almanach 1998/99 der Österr. Akad. Wiss. 149 (1999), 413-419.
  75. H. Stachel. On the tetrahedra in the dodecahedron. KoG (Scientific and Professional Information Journal of Croat. Soc. Constr. Geom. Comput. Graph.) 4 (1999), 5-10. [Zbl], [MR].
  76. H. Stachel. Higher order flexibility of octahedra. Period. Math. Hungar. 39 (1999), 225-240, Discrete geometry and rigidity (Budapest, 1999). [Zbl], [MR].
  77. H. Stachel. Instantaneous spatial kinematics and the invariants of the axodes. In Proceedings Ball 2000 Symposium, Cambridge 2000. No. 23, 14 pages [electronic].
  78. H. Stachel. Das Gleichlauf-Kugelgelenk - ein Beispiel zum anwendungsorientierten Unterricht aus Darstellende Geometrie. In SDG Symposium Darstellende Geometrie, June 15-17, 2000, Dresden/Germany. TU Dresden, Institut für Geometrie 2000 (ISBN 3-86005-258-6): pp. 151-156.
  79. H. Stachel. Flexible cross-polytopes in the Euclidean 4-space. Proc. 9th Internat. Conf. on Geometry and Graphics, Johannesburg/South Africa, July 28-31, 2000: vol. 2, 368-372}
    J. Geom. Graphics 4 (2000), 159-167. [Zbl], [MR].
  80. H. Stachel. Recent applications of descriptive geometry to mechanical engineering. In Proc. 5th Japan-China Joint Conference on Geometry Education, Osaka/Japan, July 31 - Aug. 2, 2001: pp. 7-11 (Supplement), 2001.
  81. H. Stachel. Napoleon's theorem and generalizations through linear maps. Beitr. Algebra Geom. 43 (2002), 433-444. [Zbl], [MR].
  82. H. Stachel. A way to geometry through descriptive geometry. Prikladna geometriya ta inzhenerna grafika [ukr.], (Applied Geometry and Engineering Graphics) 70 (2002), 14-19.
  83. H. Stachel. Ivory's theorem in the Minkowski plane. Math. Pannon. 13 (2002), 11-22. [Zbl], [MR].
  84. H. Stachel. Configuration theorems on bipartite frameworks. Rend. Circ. Mat. Palermo (2) Suppl. 70/II (2002), 335-351, IV International Conference in Stochastic Geometry, Convex Bodies, Empirical Measures & Applications to Engineering Science, Vol. II (Tropea, 2001). [MR].
  85. H. Stachel. Remarks on Bricard's flexible octahedra of type 3. In Proc. 10th Internat. Conf. on Geometry and Graphics, July 28 - Aug. 3, 2002, Kiev/Ukraine (ISBN 966-96185-2-5): vol. 1, pp. 8-12, 2002.
  86. M. Szilvási-Nagy, T. P. Vendel, and H. Stachel. C2 filling of gaps by convex combination of surfaces under boundary constraints. KoG 6 (2002), 41-48. [Zbl], [MR].
  87. H. Stachel. Remarks on A. Hirsch's paper concerning Villarceau sections. J. Geom. Graphics 6 (2002), 133-139. [Zbl], [MR].
  88. H. Stachel. What is Descriptive Geometry for? In DSG-CK Dresden Symposium Geometrie: konstruktiv & kinematisch, Feb. 27 - March 1, 2003, Dresden/Germany. TU Dresden, 2003 (ISBN 3-86005-394-9): pp. 327-336.
  89. H. Stachel. On Jack Phillips' spatial involute gearing. In Y. Zuo et al. (eds), The 11th Internat. Conf. on Geometry and Graphics, August 1-5, 2004, Guangzhou/China. Stankin/Yanus-K., Moscow, 2004 (ISBN 5-8037-0184-X): pp. 43-48, 2004.
  90. H. Stachel and J. Wallner. Ivory's theorem in hyperbolic spaces. Sib. Math. J. 45 (2004), 785-794. [Zbl], [MR].
  91. H. Stachel. On Arne Dür's equation concerning central axonometries. J. Geom. Graphics 8/2 (2004), 215-224. [Zbl],
  92. H. Stachel. Schraubtorsen als Zahnflanken. Inf. Bl. Darst. Geom. 23/2 (2004), 46-50.
  93. H. Stachel. On spatial involute gearing. In L. Csöke et al. (eds), Proc. 6th ICAI, Jan. 27-31, Eger/Hungary: vol. 1, pp. 27-40, 2005.
  94. H. Stachel. Teaching spatial kinematics for engineers. Internat. Conference on Engineering Education 2005/2, 845-851, Jerzy Mościński and Marcin Maciażek, eds.
  95. E. Tsutsumi, H.-P. Schröcker, H. Stachel, and G. Weiß. Evaluation of student's spatial abilities in Austria and Germany. J. Geometry Graphics 9 (2005), 107-117.
  96. H. Stachel. Spatial involute gearing - a new type of skew gears. Proc. ICDES2005, 1st Internat. Conf. on Design Engineering and Science, Oct. 28-31, 2005, Vienna: pp. 25-30, 2005.
  97. H. Stachel. Descriptive Geometry in today's engineering curriculum. Transactions of FAMENA 29/2 (2005), 35-44.
  98. H. Stachel. Teaching Spatial Kinematics for Mechanical Engineering Students. Proc. 5th Aplimat, February 7-10, 2006, Bratislava/Slovak Republic (ISSN 80-967305-4-1): part I, pp. 201-209, 2006.
  99. G. Figliolini, H. Stachel, and J. Angeles. On Martin Disteli's main achievments in spatial gearing. In M. Husty and H.-P. Schröcker, editors, Proceedings of EuCoMeS, Feb. 21-26, 2006, Obergurgl/Austria (ISBN 3-901249-85-0): 12 pp. [electronic].
  100. H. Stachel. Descriptive Geometry Meets Computer Vision - The Geometry of Multiple Images. Proc. 12th Internat. Conf. on Geometry and Graphics, Aug. 6-10, 2006, Salvador/Brazil (ISBN 85-86686-39-5): paper T 30 [electronic]
  101. H. Stachel. Flexible Octahedra in the Hyperbolic Space. Proc. Janos Bolyai Conference in Hyperbolic Geometry, July 8-12, 2002, Budapest.
    In A. Prekopa, E. Molnár (eds.), Non-euclidean geometries: János Bolyai memorial volume, Mathematics and its applications, vol. 581, Springer, New York 2006 (ISBN 0-387-29554-2) [MR]: pp. 209-225, 2006. [MR].
  102. H. Stachel. Descriptive Geometry Meets Computer Vision - The Geometry of Two Images. J. Geom. Graphics 10, 137-153 (2006)
  103. H. Stachel. The status of todays Descriptive Geometry related education (CAD/CG/DG) in Europe. Proc. Annual Meeting of JSGS 2007, 40th anniversary of Japan Society for Graphic Science, May 12-13, 2007, Tokyo/Japan: pp. 15-20, 2007
  104. H. Stachel. The geometry behind the numerical reconstruction of two photos. Proc. ICEGD 2007, 2nd Internat. Conf. on Engineering Graphics and Design, June 7-10, 2007, Galati/Romania (ISBN 978-973-667-252-1): pp. 193-196, 2007
  105. G. Figliolini, H. Stachel, J. Angeles. A new look at the Ball-Disteli diagram and its relevance to spatial gearing. Mech. Mach. Theory 42/10, 1362-1375 (2007)
  106. G. Windisch, B. Odehnal, R. Reimann, F. Anderhuber, H. Stachel. Contact Areas of the Tibiotalar Joint. J. Orthopedic Research 2007
  107. S. Abu-Saymeh, M. Hajja, H. Stachel. Another cubic associated with the triangle. J. Geom. Graphics 11, 15-26 (2007)
  108. H. Stachel. Comments on Helical Developables. Proc. 13th Internat. Conference on Geometry and Graphics, Aug. 4-8, 2008, Dresden/Germany (ISBN 978-3-86780-042-6)
  109. H. Stachel. Gears and Belt Drives for Nonuniform Transmission. In M. Ceccarelli (ed.): Proceedings of EUCOMES 08, Sept. 17-20, 2008, Cassino/ Italy (ISBN: 978-1-4020-8914-5, e-ISBN: 978-1-4020-8915-2), pp. 415-422
  110. G. Figliolini, H. Stachel, J. Angeles. The Computational Fundamentals of Spatial Cycloidal Gearing. In A. Kecskemèthy, A. Müller (eds.): Computational Kinematics, Proc. of the 5th Internat. Workshop on Computational Kinematic, Dortmund/Germany, May 6-9, Springer, Berlin Heidelberg 2009, (ISBN: 978-3-642-01946-3, e-ISBN: 978-3-642-01947-0), pp. 375-384
  111. H. Stachel. Remarks on Miura-ori, a Japanese Folding Method. ICEGD 2009 / 3rd Internat. Conf. on Engineering Graphics and Design, Cluj-Napoca/Romania, Acta Technica Napocensis, Ser. Applied Mathematics and Mechanics 52, Vol. Ia (ISSN 1221-5872), 245-248 (2009)
  112. G. Figliolini, H. Stachel and J. Angeles. On the Synthesis of Spatial Cycloidal Gearing. Proceedings XIX Congress AIMETA / Italian Association for Theoretical and Applied Mechanics, Ancona/Italy, Sept. 2009; awarded with the Premio "Ettore Funaioli" 2009.
  113. H. Stachel. Vom Falten und Verebnen polyedrischer Figuren. Inf. Bl. Darst. Geom. 28/2, 17-21 (2009)
  114. H. Stachel. A kinematic approach to Kokotsakis meshes. Comput. Aided Geom. Des. 27, 428-437 (2010)
  115. 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)
  116. H. Stachel. The Influence of Geometry on the Rigidity or Flexibility of Structures. Proc. IWSSIP 2010 - 17th Internat. Conf. on Systems, Signals and Image Processing, June 2010, Rio de Janeiro/Brazil, (ISBN 978-85-228-0565-5) pp. 24-29
  117. 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
  118. G. Gutruf, H. Stachel. The Hidden Geometry in Vermeer's 'The Art of Painting'. J. Geometry Graphics 14, 187-201 (2010)
  119. H. Stachel. Remarks on flexible quad meshes. Proceedings 11th Internat. Conf. on Engineering Graphics - BALTGRAF-11, June 2011, Tallinn/Estonia, 84-92 (ISBN 978-9949-23-112-6)
  120. H. Stachel. What lies between the flexibility and rigidity of structures. Serbian Architectural Journal 3/2, 102-115 (2011)
  121. H. Stachel. On the Rigidity of Polygonal Meshes. South Bohemia Mathematical Letters 19/1, 6-17 (2011)
  122. H. Stachel. A flexible quadrangular mesh tiling a cylinder of revolution. Proc. 15th Internat. Conf. on Geometry and Graphics, Montreal/Canada 2012, (ISBN 978-0-7717-0717-9), pp. 711-719
  123. H. Stachel. A Flexible Planar Tessellation with a Flexion Tiling a Cylinder of Revolution. J. Geometry Graphics 16, 153-170 (2012)
  124. G. Figliolini, H. Stachel, J. Angeles. On Martin Disteli's Spatial Cycloidal Gearing. Mech. Mach. Theory 60, 73-89 (2013)
  125. G. Figliolini, H. Stachel, J. Angeles. On the Synthesis of Spatial Cycloidal Gears. Meccanica 48/5, 1239-1249 (2013)
  126. H. Stachel. On the flexibility and symmetry of overconstrained mechanisms. Phil. Trans. R. Soc. A 372, num. 2008, 20120040 (2014)
  127. E. Can, H. Stachel. A planar parallel 3-RRR robot with synchronously driven cranks. Mech. Mach. Theory 79, 29-45 (2014)
  128. H. Stachel. The Design of the New Sun-Reflection-Dial in Heiligenkreuz/ Austria. Proc. moNGeometrija 2014, Vlasina/Serbia, (ISBN 978-86-88601-13-9), pp. 285-296
  129. A. Sarιoğlugil, A. Tutar, H. Stachel. On Relaxed Elastic Lines of Second Kind on a Curved Hypersurface in the n-Dimensional Euclidean Space. J. Geometry Graphics 18, 81-95 (2014)
  130. G. Figliolini, H. Stachel, J. Angeles. A Study on Spatial Cycloid Gearing. In H.-P. Schröcker, M. Husty (eds.): Proc. 16th Internat. Conference on Geometry and Graphics, Innsbruck/Austria, (ISBN 978-3-902936-46-2), Aug. 2014, pp. 1192-1205
  131. H. Gutruf, H. Stachel. The hidden geometry in Vermeer's 'The Art of Painting'. Notices of the ICCM 2/1, 27-36 (2014) (= reprint of #118)
  132. H. Stachel. Kegelschnitte – eine (fast) unendliche Geschichte. Didaktikhefte der ÖMG 47, 81-90 (2014)
  133. G. Figliolini, H. Stachel, J. Angeles. The Role of the Orthogonal Helicoid in the Generation of the Tooth Flanks of Involute-Gear Pairs with Skew Axes. Proc. IDETC/CIE 2014, ASME 2014, Buffalo/NY, Aug. 2014, 10 pp., received the "Best Paper Award Honorable Mention" of the Mechanisms & Robotics Committee
  134. G. Figliolini, H. Stachel, J. Angeles. Synthesis of the base curves of non-circular gears via the return circle. Proc. International Gear Conference, Lyon Villeurbanne/France, Aug. 2014, Woodhead Publishing-inprint of Elsevier, Cambridge/UK 2014 (ISBN 978-1-78242-195-5), Vol. I, pp. 540-550
  135. H. Stachel. Descriptive Geometry - Vision Guided Spatial Reasoning. In L. Cocchiarella (ed.): Visual Language of Technique, Vol. 1 - History and Epistemology, Springer Internat. Publ. Switzerland 2015 (ISBN 978-3-319-05349-3, eBook: ISBN 978-3-319-05350-9, doi 10.1007/978-3-319-05350-9), pp. 71-84
  136. S. Abu-Saymeh, M. Hajja, H. Stachel. Equicevian Points and Cubics of a Triangle. J. Geometry Graphics 18, 133-157 (2014)
  137. G. Figliolini, H. Stachel, J. Angeles. The Role of the Orthogonal Helicoid in the Generation of the Tooth Flanks of Involute-Gear Pairs with Skew Axes. J. Mechanisms Robotics 7/1, 011003, 9 pages (2015).
  138. 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
  139. H. Stachel. Strophoids, a Family of Cubic Curves with Remarkable Properties. JIDEG (Journal of Industrial Design and Engineering Graphics, ISSN 1843-3766), 10, 65-72 (2015);
  140. S. Abu-Saymeh, M. Hajja, H. Stachel. Equicevian Points of a Triangle. Amer. Math. Monthly 122/10, 995-1000 (2015)
  141. G. Figliolini, H. Stachel, J. Angeles. A Spatial Version of Octoidal Gears via the Generalized Camus Theorem. J. Mechanisms Robotics 8/2, 021015, 13 pages (2016).
  142. H. Stachel. Strophoids are auto-isogonal cubics. G - Slovak Journal for Geometry and Graphics (ISSN 1336-524X) 12/24, 45-59 (2015).
  143. G. Figliolini, H. Stachel, and J. Angeles. Base Curves of Involute Cylindrical Gears via Aronhold's First Theorem. In Teik C. Lim, St. Theodossiades, Ph. Velex (eds.), Power transmission with gears (special issue), Proc. IMechE, Part C: J. Mechanical Engineering Science 230/7-8, 1233-1242 (2016).
  144. A. İnalcık, S. Ersoy, and H. Stachel. On Instantaneous Invariants of Hyperbolic Planes. Math. Mech. Solids 22/5, 1047-1057 (2017), doi: 10.1177/1081286515616283.
  145. H. Stachel. Two Examples of Solids Constructed From Given Developments. J. Geometry Graphics 20, 225-241 (2016)
  146. H. Stachel. On the Computation of Foldings. FME Transactions 45, no. 2, 268-275 (2017).
  147. A. Sarιoğlugil, H. Stachel, A. Tutar. On Relaxed Elastic Lines of the Second Type on an Oriented Surface in the Galilean Space G. Results Math. 71, no. 3-4, 955-982 (2017).

Technical Reports

  1. H. Stachel. W. Wunderlichs Beiträge zur Wackeligkeit. Technical Report 22, Institute of Geometry, 1995.
  2. H. Stachel. Why shall we also teach the theory behind Engineering Graphics. Technical Report 35, Institute of Geometry, 1996.
  3. H. Stachel. Walter Wunderlich (1910 - 1998). Technical Report 65, Institute of Geometry, 1999.
  4. B. Odehnal and H. Stachel. The upper talocalcanean join. Technical Report 127, Geometry Preprint Series, Vienna Univ. of Technology, October 2004.

Manuals

  1. H. Stachel and R. W. Beschreibung des Programmpaketes CAD-2D für GZ. Vienna, 1989.
  2. M. Pfeifer, W. Rath, and H. Stachel. Handbuch zu CAD-3D für Windows, Basisversion 1.04. Institut für Geometrie, TU Wien, 2002. ISBN 3-902233-01-X.
  3. M. Pfeifer, W. Rath, and H. Stachel. Handbuch zu CAD-3D für Windows, erw. Version 1.10. Institut für Geometrie, TU Wien, 2002. ISBN 3-902233-02-8.

Theses

  1. H. Stachel. Die Liesche Strahl-Kugel-Verwandtschaft. Master's thesis, Universität Graz, 1965. Hausarbeit aus Darstellender Geometrie.
  2. H. Stachel. Theorie der Krümmungslinien für das dreiachsige Ellipsoid nebst Darstellung ihres geometrischen Verlaufes. Master's thesis, Universität Graz, 1965. Hausarbeit aus Mathematik.
  3. H. Stachel. Die beiden Lieschen Geraden-Kugel-Transformationen in synthetischer Behandlung, PhD thesis, Universität Graz, 1968.
  4. H. Stachel. Hüllbahnen von Trochoiden bei Trochoidenbewegungen, Habilitationsschrift, Technische Hochschule Graz, 1970.

Editorial Work

  1. H. Stachel (ed.): Geometrische Verfahren der Graphischen Datenverarbeitung - Spezielle Visualisierungstechniken, special issue of CAD und Computergraphik, vol. 11/4 (1988).
  2. S. M. Slaby and H. Stachel (eds.): Proceedings of the Third International Conference on Engineering Graphics and Descriptive Geometry. Vols. 1, 2, Vienna, 1988. TU Wien, Institut für Geometrie. Held in Vienna, July 11-16, 1988. [Zbl], [MR].
  3. H. Stachel and J. Wallner (eds.): 25. Süddeutsches Differentialgeometrie-Kolloquium (Wien Juni 2000), Wien, 2001. Institut für Geometrie, TU Wien. ISBN 3-902233-00-1. [Zbl], [MR].
  4. H. Stachel (guest editor): Filomat, vol. 23/2, June 2009 (ISSN 0354-5180).
  5. V. Alexandrov, I.Kh. Sabitov and H. Stachel (eds.). Rigidity and Related Topics in Geometry, Special issue of European J. Combin, vol. 31, issue 4, pp. 1035-1204 (2010).
  6. H. Stachel (Editor in Chief): Journal for Geometry and Graphics. vols. 1 (1997) - 20/2 (2016) ....

Miscellaneous Publications

  1. H. Stachel. Bemerkungen über das Oloid. In Vortragsauszüge 23. Kolloquium über Differentialgeometrie, Dresden 1998: pp. 73-74, 1998.
  2. H. Stachel. Remarks on the Grünbaum framework (abstract). In Eighth International Conference on Geometry, University of Haifa, March 7-14, 1999. J. Geom. 65 (1999), 1-30: p. 23. [Zbl],
  3. H. Stachel. Bricardsche Oktaeder im hyperbolischen Raum (abstract). In O. Röschel et al. (eds.): Geometrie-Tagung 107 Jahre Drehfluchtprinzip, June 1-6, 1997, Vorau/Österreich. TU Graz, 1999: pp. 177-178. [Zbl].
  4. At the 60th anniversary of Hellmuth Stachel, vice president of ISGG [Ukrainian]. Applied Geometry and Engineering Graphics, Kyiv, 72 (2003), 222-223.
  5. H. Stachel. Chemu sluzhi nacrtna geometrija? KoG 8 (2004), 37-42, translation of "What is Descriptive Geometry for?" (Dresden Symposium 2003) done by K. Horvatic-Baldasar.
  6. H. Stachel. On Jack Phillips' new spatial involute gearing. In A. Sarman (ed.): Proc. GCG 2004, Geometry and Computer Graphics 2004, Technical University of Ostrava (ISBN 80-248-0581-2): p. 182.
  7. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger and H. Stachel. Die Grafiken und Aufgaben des Buches Mathematik. DVD, Spektrum Akademischer Verlag, Heidelberg 2008 ISBN 978-3-8274-1757-6.
  8. H. Stachel. 30 Jahre "Strobl", Festrede, gehalten am 4. November in Strobl. Inf. Bl. Darst. Geom. 28/2 (2009), 4-5.
  9. V. Alexandrov, I.Kh. Sabitov and H. Stachel. Preface to 'Rigidity and Related Topics in Geometry'. European J. Combin. 31, 4, 1035-1036 (2010).
  10. H. Stachel. Comments on Flexible Kokotsakis Meshes. In Collection of abstracts for the Internat. Conference 'Metric Geometry of Surfaces and Polyhedra', held at the occasion of the 100th anniversary of N.V. Efimov in Moscow, Aug. 2010, Maks-Press, pp. 82-83 (ISBN 978-5-317-03369-9).
  11. H. Stachel. Dual continuation of cycloidal bevel gears - skew gears with ruled surfaces as tooth flanks. Extended Abstract in G. Weiss (ed.): Proceedings of IW-LGK-11, 1st Internat. Workshop on Line Geometry and Kinematics, Paphos/Cyprus, April 2011, TU Dresden 2011 (ISBN 978-3-86780-244-4), pp. 125-126.
  12. T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger and H. Stachel. Die Grafiken und Aufgaben des Buches Mathematik. 2. Aufl., DVD, Spektrum Akademischer Verlag, Heidelberg 2012, ISBN 978-3-8274-2347-4.
  13. H. Stachel. The Design of the Sun-Reflection-Dial in Heiligenkreuz/Austria. Extended Abstract in R. Hašek, M. Lávička (eds.), Proceedings of the 34th Conference on Geometry and Graphics, Vlachovice/Sykovec, Czech Republic, Sept. 2014 (ISBN 978-80-7394-470-4), pp. 41-46.
  14. H. Stachel. Berechnungen zum Gnomon und Nicht der Schatten, sondern das Licht zeigt die Zeit, In: F. Mayrhofer, G. Liechtenstein (Hrsg.): Die Sonnenreflexionsuhr im Stift Heiligenkreuz, als Denkmal für Gewissens und Religionsfreiheit. Mit grundsätzlichen Überlegungen zu der Erklärung "Dignitatis humanae" des 2. Vatikanischen Konzils, Be&Be-Verlag, Heiligenkreuz 2016 (ISBN 978-3-902694-89-8), pp. 48-53, 54-60.

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