H. Stachel: Publications



    Book

  1. G. Glaeser and H. Stachel. Open Geometry: OpenGL + Advanced Geometry. Springer, New York, 1999. ISBN 0-387-98599-9. [Zbl].

    Articles

  2. H. Stachel. Elementare Bestimmung der gefährlichen Fläche beim räumlichen Rückwärtsschnitt. Elem. Math. 22 (1967), 34-37. [Zbl], [MR].
  3. H. Stachel. Radlinien als Hüllkurvenpaare. Math. Nachr. 45 (1970), 167-182. [Zbl], [MR].
  4. H. Stachel. Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Math. Nachr. 46 (1970), 189-208. [Zbl], [MR].
  5. H. Stachel. Netzprojektion quasielliptischer Schraubschiebflächen. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 178 (1970), 379-402. [Zbl], [MR].
  6. H. Stachel. Über Hüllbahnen von Trochoiden bei Trochoidenbewegungen. Z. Angew. Math. Mech. 51 (1971), 147-149. [Zbl], [MR].
  7. H. Stachel. Quasielliptische Schraubschiebflächen. Monatsh. Math. 76 (1972), 254-263. [Zbl], [MR].
  8. H. Stachel. Zum Umriss der Drehflächen. Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. 10 (1972), 236-243. [Zbl], [MR].
  9. S. Kunze and H. Stachel. Über ein sechsgliedriges räumliches Getriebe. Elem. Math. 29 (1974), 25-32. [Zbl], [MR].
  10. H. Stachel. Zur Kennzeichnung quasielliptischer und elliptischer Schiebnetze. Arch. Math. (Basel) 25 (1974), 431-437. [Zbl], [MR].
  11. H. Stachel. Quasielliptische Schiebflächen mit unendlich vielen Schiebnetzen I. Math. Nachr. 68 (1975), 239-254. [Zbl], [MR].
  12. H. Stachel. Quasielliptische Schiebflächen mit unendlich vielen Schiebnetzen II. Math. Nachr. 68 (1975), 255-264. [Zbl], [MR].
  13. H. Stachel. Mehrfach zerlegbare ebene Bewegungsvorgänge. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 184 (1975), 65-82. [Zbl], [MR].
  14. H. Stachel. Quasielliptische Schiebflächen mit einparametriger Bewegungsgruppe. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 184 (1975), 487-498. [Zbl], [MR].
  15. H. Stachel. Zur quasielliptischen Differentialgeometrie. Ber. Math.-Statist. Sekt. Forschungszentrum Graz 80 (1977), 38. [Zbl], [MR].
  16. H. Stachel. Trochoidenhüllbahnen in Grenzfällen. J. Mech. Mach. Theory 13 (1978), 273-280.
  17. H. Stachel. Fundamentalsätze der quasielliptischen Differentialgeometrie. J. Geom. 13 (1979), 144-153. [Zbl], [MR].
  18. H. Stachel. Über zweiparametrige ebene Bewegungsvorgänge. Monatsh. Math. 88 (1979), 45-54. [Zbl], [MR].
  19. H. Stachel. Strahlflächen im quasielliptischen Raum. Ber. Math.-Statist. Sekt. Forschungszentrum Graz 120 (1979). [Zbl], [MR].
  20. H. Stachel. Eine Ortsaufgabe und der Satz von Ivory. Elem. Math. 37 (1982), 97-103. [Zbl], [MR].
  21. H. Stachel. Eine Anwendung der kinematischen Abbildung. In Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl., pages 108-111. 1981. [Zbl].
  22. H. Stachel. Bemerkungen über zwei räumliche Trilaterationsprobleme. Z. Angew. Math. Mech. 62/7 (1982), 329-341. [Zbl], [MR].
  23. H. Stachel. Zur Gruppe der ebenen Bewegungen. ÖMG-Didaktikreihe 9 (1982), 186-200.
  24. H. Stachel. Anwendungsorientierte Maßaufgaben zur Schulung der Raumanschauung, 1982/83.
  25. H. Stachel. Spiegelung und Berechnung im DG-Unterricht. Inf. Bl. Darst. Geom. 2/1 (1983), 23-29.
  26. H. Stachel. Landkarten in der Darstellenden Geometrie. Inf. Bl. Darst. Geom. 2/2 (1983), 24-30.
  27. H. Stachel. Bemerkungen zur sphärischen Kreispunktkurve. Ber. Math.-Statist. Sekt. Forschungszentrum Graz 222 (1984), 6 pages. Proceedings Second Austrian geometry colloquium in Rein. [Zbl], [MR].
  28. H. Stachel. Deformable frameworks with common knot-paths. In Z. Yuwan and S. Slaby, editors, Proceedings of the International Conference on Engineering and Computer Graphics, pages 76-80, Beijing, 1984.
  29. H. Stachel. Exercises in applied descriptive geometry. In Z. Yuwan and S. Slaby, editors, Proceedings of the International Conference on Engineering and Computer Graphics, pages 200-205, Beijing, 1984.
  30. H. Stachel. Die zweiten Krümmungsmitten bei ebenen Zwangläufen. Mech. Mach. Theory 20 (1985), 409-414.
  31. H. Stachel. Descriptive geometry and scientific research in geometry. Engineering Graphics Journal 6/2 (1985), 1-4.
  32. H. Stachel. Constructive differential geometry. Engineering Graphics Journal 6 (1985), No. 2, 5-37 and No. 3, 1-11.
  33. H. Stachel. Zur Parabelkonstruktion von H. Domkowitsch. Inf. Bl. Darst. Geom. 5/2 (1986), 37.
  34. H. Stachel. Zur Einzigkeit der Bricardschen Oktaeder. J. Geom. 28 (1987), 41-56. [Zbl], [MR].
  35. H. Stachel. Mehrdimensionale Axonometrie. In Proceedings of the Congress of Geometry (Thessaloniki, 1987), pages 159-168, Thessaloniki, 1988. Aristotle Univ. Thessaloniki. [Zbl], [MR].
  36. H. Stachel and W. Fuhs. Circular pipe-connections. Computers & Graphics 12 (1988), 53-57.
  37. H. Stachel. Ein bewegliches Tetraederpaar. Elem. Math. 43 (1988), 65-75. [Zbl], [MR].
  38. S. M. Slaby and H. Stachel, editors. Proceedings of the Third International Conference on Engineering Graphics and Descriptive Geometry. Vol. 1, Vol. 2, Vienna, 1988. TU Wien, Institut für Geometrie. Held in Vienna, July 11--16, 1988. [Zbl], [MR].
  39. W. Fuhs and H. Stachel. Applied descriptive geometry problems. In Slaby and Stachel [Zbl], [MR].
  40. H. Stachel. Einige metrische Kegelschnittseigenschaften. Praxis Math. 31 (1989), 244-247. [MR].
  41. H. Stachel and R. W. A 2D-CAD system for austrian schools. In Proceedings of the Second International Conference on Computer Aided Drafting Design and Manufacturing Technology, pages 170-172, 1989. held Oct. 23-28 1989 in Hangzhou.
  42. H. Stachel. Das wissenschaftliche Werk Fritz Hohenbergs. In Fritz Hohenberg-Gedächtniskolloquiums, pages 1-10, 1989. Seggauberg, 30. 30.--6. Mai 1989.
  43. W. Rath and H. Stachel. Bemerkungen zu unserem zeichenpaket cad-2d. Inf. Bl. Darst. Geom. 9/2 (1990), 1-7.
  44. H. Stachel. Geometrie - Versuch einer Standortbestimmung. In Vortragsauszüge I (Plenarvorträge) des Mathematikerkongresses der DDR, pages 37-41, 1990. Dresden, 10. -- 14. September 1990.
  45. H. Stachel. Darstellende Geometrie und Graphische Datenverarbeitung. In J. L. W. Encarnação, J. Hoschek, and J. Rix, editors, Geometrische Verfahren der Graphischen Datenverarbeitung, pages 168-179. Springer, Berlin Heidelberg, 1990, ISBN 3-540-53011-8.
  46. H. Stachel. The right-angle-theorem in four dimensions. J. Theoretical Graphics and Computing 3 (1990), 4-13.
  47. H. Stachel. Zu K. Schüttes Verallgemeinerung des Satzes von Napoleon. Elem. Math. 46 (1991), 25-27. [Zbl], [MR].
  48. H. Stachel. Nonuniform chain-wheel drives. In M. Okrouhl'ik and L. Pust, editors, Eighth World Congress on the Theory of Machines and Mechanisms, volume 5, pages 1343-1346, Prague, 1991. Inst. of Thermomechanics, Czechoslovak Academy of Sciences. Proceedings of the conference held in Prague, August 26-31, 1991.
  49. H. Stachel. Parallel projections in multidimensional space. In H. P. Santo, editor, Compugraphics `91 - First Int. Conference on Computational Graphics and Visualization Techniques, volume I, pages 119-128, 1991. held in Sesimbra, Portugal, September 16-20, 1991.
  50. H. Stachel. Zwei bemerkenswerte bewegliche Strukturen. J. Geom. 43 (1992), 14-21. [Zbl], [MR].
  51. H. Stachel. Educational software for descriptive geometry. In V. O. Thomas and W. P. Lewis, editors, Proceedings of the Fifth International Conference on Engineering Computer Graphics and Descriptive Geometry, volume 1, pages 305-307, 1992. held in Melbourne, August 17-21, 1992.
  52. H. Stachel and H. Abdelmoez. Voronoi diagrams and offsets, an algorithm based on descriptive geometry. In H. P. Santo, editor, Compugraphics '92 - Second Int. Conference on Computational Graphics and Visualization Techniques, pages 159-166, 1992. held in Lisbon, December 14-17, 1992.
  53. H. Stachel and H. Abdelmoez. Voronoi diagrams and offsets of polyhedra. In International Conference on Applied Informatics, pages 1-10, 1993. held in Eger, Hungary, August 23-26, 1993.
  54. H. Stachel. On the identity of polyhedra. Amer. Math. Monthly 101/2 (1994), 162-165. [Zbl], [MR].
  55. H. Stachel. Degenerate intersection in solid modeling. In K. Suzuki and K. Yoshida, editors, Proceedings of the 6th International Conference on Engineering Computer Graphics and Descriptive Geometry, volume 1, pages 191-195, 1994. held in Tokyo, August 19-23, 1994.
  56. H. Stachel. Descriptive geometry, the art of grasping spatial relations. In K. Suzuki and K. Yoshida, editors, Proceedings of the 6th International Conference on Engineering Computer Graphics and Descriptive Geometry, volume 2, pages 533-535, 1994. held in Tokyo, August 19-23, 1994.
  57. H. Stachel. Euklidische Kurven- und Flächentheorie. In O. Giering and J. Hoschek, editors, Geometrie und ihre Anwendungen, pages 43-70. Hanser, Munich, 1994. [Zbl], [MR].
  58. H. Stachel. The HEUREKA-polyhedron. In K. Böröcky and G. Fejes Tóth, editors, Intuitive geometry (Szeged, 1991), volume 63 of Colloq. Math. Soc. János Bolyai, pages 447-459. North-Holland, Amsterdam, 1994, ISBN 0-444-81906-1. Proceedings of the 3rd international conference held in Szeged, Hungary, Sept. 2--7 1991. [Zbl], [MR].
  59. 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].
  60. 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].
  61. H. Stachel. Computer animation, a tool for the design of mechanisms. In B. Kovács and Z. Kovács, editors, International Conference on Applied Informatics, pages 127-139, 1995. held in Eger, Hungary, August 23--25, 1995.
  62. 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].
  63. A. Elsonbaty and H. Stachel. Generating solids by sweeping polyhedra. In A. Wyzykowski et al., editors, Proceedings of the 7th international conference on Engineering computer graphics and descriptive geometry, volume 1, pages 245-249, Cracow, 1996. Fotobit, ISBN 83-904805-5-7. held in Cracow, July 18--22, 1996. [Zbl].
  64. D. Haase and H. Stachel. Almost-orthonormal vector systems. Beitr. Algebra Geom. 37 (1996), 367-381. [Zbl], [MR].
  65. H. Stachel. Flexing models of quadrics. In SCG'96, volume 5 of Proceedings of Seminars on Computational Geometry, pages 103-113, 1996. held in Kočovce/Slovakia, September 4-6, 1996.
  66. H. Stachel. A family of multiply decomposable Euclidean motions. In I. Bárány and K. Böröcky, editors, Intuitive geometry (Budapest, 1995), volume 6 of Bolyai Soc. Math. Stud., pages 413-427. János Bolyai Math. Soc., Budapest, 1997, ISBN 963-8022-89-2. Proceedings of the 5th conference, Budapest 1995. [Zbl], [MR].
  67. H. Stachel. Euclidean line geometry and kinematics in the 3-space. In N. K. S. N. K. Artémiadis, editor, Proceedings of the 4th International Congress of Geometry (Thessaloniki, 1996), pages 380-391. Giachoudis-Giapoulis, Thessaloniki, 1997, ISBN 960-7425-11-1. held May 26 -- June 1, 1996. [Zbl], [MR].
  68. H. Stachel. Coordinates - a survey on higher geometry. Computer Networks and ISDN Systems 29 (1997), 1645-1654.
  69. H. Dirnböck and H. Stachel. The development of the oloid. J. Geom. Graphics 1 (1997), 105-118. [Zbl], [MR].
  70. G. Glaeser and H. Stachel. Open geometry - a graphics programming library based on open gl. In Proceedings of the 3rd International Conference on Applied Informatics, volume 1, pages 119-122, 1997. held in Eger-Noszvaj (Hungary), August 24-28, 1997.
  71. H. Stachel. A remarkable overconstrained spherical motion. In J. Lenarčič and M. Husty, editors, Advances in robot kinematics: analysis and control (Salzburg, 1998), pages 287-296. Kluwer Acad. Publ., Dordrecht, 1998, ISBN 0-7923-5169-X. [Zbl], [MR].
  72. H. Stachel. New applications of geometry. J. Geom. Graphics 2 (1998), 151-159. [MR].
  73. H. Stachel. Infinitesimal flexibility of higher order for a planar parallel manipulator. In G. Karáné, H. Sachs, and F. Schipp, editors, Topics in Algebra, Analysis and Geometry, pages 343-353. BPR Kiadó, 1999, ISBN 963-03-8502-3. Proceedings of the Gyula Strommer national memorial conference, Balatonfüred, Hungary, May 1--5, 1999. [Zbl].
  74. H. Stachel. Higher-order flexibility for a bipartite planar framework. In A. Kecskeméthy, M. Schneider, and C. Woernle, editors, Advances in Multibody Systems and Mechatronics, pages 345-357. Inst. f. Mechanik und Getriebelehre, TU Graz, Duisburg, 1999, ISBN 3-9501108-0-1.
  75. H. Stachel. Stanko Bilinski. Almanach 1998/99 der Österr. Akad. Wiss. 149 (1999), 421-429.
  76. H. Stachel. Walter Wunderlich. Almanach 1998/99 der Österr. Akad. Wiss. 149 (1999), 413-419.
  77. H. Stachel. On the tetrahedra in the dodecahedron. KoG 4 (1999), 5-10. [Zbl], [MR].
  78. H. Stachel. Higher order flexibility of octahedra. Period. Math. Hungar. 39 (1999), 225-240, Discrete geometry and rigidity (Budapest, 1999). [Zbl], [MR].
  79. H. Stachel. Instantaneous spatial kinematics and the invariants of the axodes. In Proceedings Ball 2000 Symposium, Cambridge, 2000. No. 23, 14 p.
  80. H. Stachel. Das Gleichlauf-Kugelgelenk - ein Beispiel zum anwendungsorientierten Unterricht aus Darstellende Geometrie. In SDG Symposium Darstellende Geometrie, pages 151-156. TU Dresden, Institut für Geometrie, 2000, ISBN 3-86005-258-6. Proceedings of the conference held June 15.-17, 2000.
  81. H. Stachel. Flexible cross-polytopes in the Euclidean 4-space. J. Geom. Graphics 4 (2000), 159-167. [Zbl], [MR].
  82. H. Stachel. Recent applications of descriptive geometry to mechanical engineering. In Proceedings of the 5th Japan-China Joint Conference on Geometry Education, pages 7-11 (Supplement), 2001. held in Osaka (Japan), July 31 -- August 2, 2001.
  83. H. Stachel. Napoleon's theorem and generalizations through linear maps. Beitr. Algebra Geom. 43 (2002), 433-444. [Zbl], [MR].
  84. H. Stachel. A way to geometry through descriptive geometry. Prikladna geometriya ta inzhenerna grafika [ukr.], (Applied Geometry and Engineering Graphics) 70 (2002), 14-19.
  85. H. Stachel. Ivory's theorem in the Minkowski plane. Math. Pannon. 13 (2002), 11-22. [Zbl], [MR].
  86. 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].
  87. H. Stachel. Remarks on Bricard's flexible octahedra of type 3. In Proc. 10th ICGG, volume 1, pages 8-12, Kyiv, 2002. ISBN 966-96185-2-5. held in Kiev (Ukraine), July 28 -- Aug. 3, 2002.
  88. H. Stachel. Remarks on A. Hirsch's paper concerning Villarceau sections. J. Geom. Graphics 6 (2002), 133-139. [MR].
  89. H. Stachel. Flexible octahedra in the hyperbolic space. In A. Prékopa and A. Molnár, editors, Non-Euclidean Geometries, volume 581 of Mathematics and its applications, pages 209-225. Springer, 2006, ISBN 0-387-29554-2. Proc. Janos Bolyai Conference in Hyperbolic Geometry, held in Budapest, July 8--12, 2002.
  90. H. Stachel. What is descriptive geometry for?. In DSG-CK Dresden Symposium Geometrie: konstruktiv & kinematisch, pages 327-336. TU Dresden, 2003, ISBN 3-86005-394-9. held in Dresden 27.2.--1.3.2003.
  91. H. Stachel. On Jack Phillips' spatial involute gearing. In Y. Zuo et al., editors, The 11th International Conference on Geometry and Graphics, pages 43-48. Stankin/Yanus-K., Moscow, 2004, ISBN 5-8037-0184-X. held in Guangzhou, China, August 1-5, 2004.
  92. H. Stachel and J. Wallner. Ivory's theorem in hyperbolic spaces. Sib. Math. J. 45 (2004), 785-794. [Zbl], [MR].
  93. H. Stachel. On Arne D"ur's equation concerning central axonometries. J. Geom. Graphics 8/2 (2004), 215-224.
  94. H. Stachel. Schraubtorsen als Zahnflanken. Inf. Bl. Darst. Geom. 23/2 (2004), 46-50.
  95. H. Stachel. On spatial involute gearing. In L. Csöke et al., editors, Proc. 6th ICAI, Eger/Hungary, January 27-31, volume 1, pages 27-40. 2005.
  96. H. Stachel. Teaching spatial kinematics for engineers. Internat. Conference on Engineering Education 2005/2, 845-851, Jerzy Mościński and Marcin Maciażek, eds.
  97. 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.
  98. H. Stachel. Descriptive Geometry in today's engineering curriculum. Transactions of FAMENA 29/2 (2005), 35-44.
  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, 2006, ISBN 3-901249-85-0. 12 pp. held in Obergurgl, Feb. 21--26, 2006 [electronic].

    Technical Reports

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

    Manuals

  104. H. Stachel and R. W. Beschreibung des Programmpaketes CAD-2D für GZ. Vienna, 1989.
  105. 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.
  106. 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

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

    Editorial Work

  111. H. Stachel (Editor in Chief). Journal of geometry and graphics. Volume 1 (1997)-.
  112. H. Stachel, editor. Geometrische Verfahren der Graphischen Datenverarbeitung - Spezielle Visualisierungstechniken (special issue), volume 11/4 of CAD und Computergraphik. 1988.
  113. H. Stachel and J. Wallner, editors. 25. Süddeutsches Differentialgeometriekolloquium (Wien Juni 2000), Wien, 2001. Institut für Geometrie, TU Wien. ISBN 3-902233-00-1. [Zbl], [MR].

    Miscellaneous Publications

  114. H. Stachel. Bemerkungen über das Oloid. In Vortragsauszüge 23. Kolloquium über Differentialgeometrie, pages 73-74, Dresden, 1998.
  115. H. Stachel. Bricardsche Oktaeder im hyperbolischen Raum (abstract). In O. Röschel et al., editors, Geometrie-Tagung ``107 Jahre Drehfluchtprinzip'', pages 177-178. TU Graz, 1999. held in Vorau, Österreich, June 1--6, 1997. [Zbl].
  116. 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. [MR].
  117. H. Stachel. Chemu sluzhi nacrtna geometrija? KoG 8, 37-42, translation of: What is Descriptive Geometry for? (Dresden Symposium 2003).