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Helicoids and their projection

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Book cover Katachi ∪ Symmetry

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Abstract

Spirals as two-dimensional curves are concerned as decorating elements in art and architecture. Helix as three-dimensional “equivalent” of spiral is used as structural element in architecture. This paper intends to make topology of helical surfaces and to show a 3-dimensional construction of curve of self-shadow on the surface.

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References

  1. L. Miotto, M. L. Polichetti, Urbino: ideal city, Arti Grafiche STIBU, Urbania (1992)

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  2. H. V. de Vies, Perspectiva. Id est, Celeberrima ars insicientis aut transpicientis oculorum aciei, Hendrik Hondius, 1604, p. 36.

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  3. I. Hargittai, M. Hargittai, Symmetry: A Unifying Concept, Shelter Publications, Inc., Bolinas, California (1994)

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  4. H. S. M. Coxeter, Introduction to Geometry, John Wiley & Sons, Inc. New York-London (1961)

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  5. P. Lorincz, G. Petrich, Descriptive Geometry, (Ábrázoló geometria, in Hungarian), Budapest, Tankönyvkiado, (1976)

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  6. M. Szoboszlai, Central Projection of Helix, Periodica Polytechnica, Architecture, Budapest, Vol. 35, Nos. 1-2, pp. 79–89(1991)

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Author information

Authors and Affiliations

  1. Department of Descriptive Geometry, Faculty of Architecture, Technical University of Budapest, Műegyetem rakpart 3, Budapest, 1111, Hungary

    Mihály Szoboszlai

Authors
  1. Mihály Szoboszlai
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Editor information

Editors and Affiliations

  1. Institute of Applied Physics, University of Tsukuba, 1-1-1 Ten-nodai, Tsukuba, Ibaraki 305, Japan

    Tohru Ogawa (Professor) (Professor)

  2. Institute of Space and Astronautical Science Structural Morphology Research, University of Tokyo and Professor Emeritus, 3-9-7 Tsurukawa, Machida, Tokyo 195, Japan

    Koryo Miura (Professor Emeritus) (Professor Emeritus)

  3. Institute of Modern Languages and Cultures, University of Tsukuba, 1-1-1 Ten-nodai, Tsukuba, Ibaraki 305, Japan

    Takashi Masunari (Professor) (Professor)

  4. Institute of Applied Physics, University of Tsukuba, 1-1-1 Ten-nodai, Tsukuba, Ibaraki 305, Japan

    Dénes Nagy (Professor, Director) (Professor, Director)

  5. Symmetrion-The Institute for Advanced Symmetry Studies, P.O. Box 4, Budapest, H-1361, Hungary

    Dénes Nagy (Professor, Director) (Professor, Director)

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© 1996 Springer-Verlag Tokyo

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Szoboszlai, M. (1996). Helicoids and their projection. In: Ogawa, T., Miura, K., Masunari, T., Nagy, D. (eds) Katachi ∪ Symmetry. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68407-7_19

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  • DOI: https://doi.org/10.1007/978-4-431-68407-7_19

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68409-1

  • Online ISBN: 978-4-431-68407-7

  • eBook Packages: Springer Book Archive

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