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Geometry, Between History and Shape Configuration

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ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics (ICGG 2021)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1296))

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Abstract

Today, geometrical studies are re-emerging and they are able of connecting and combining conceptual/philosophical/theoretical topics with the shape and configuration of the space, considered as the basic core of still existing or in fieri architecture. Thus, a graphic-documentary apparatus, organized and able to communicate the topics of curves and surfaces, is fundamental to facilitate the understanding of their historical perspective, and - through some exemplary case studies - to deal with their use in different areas of application. The purpose is therefore to broaden the range of critical tools available to any reader (such as researcher, architects, engineer), proposing multiple points of view. Then, an historic analysis about geometry can became the tool to achieve complete awareness through the actions of seeing, thinking, and judging critically. We then propose a tool to organize this knowledge for a better use in any VPL – Visual Programming Language – as an organization of points, lines and surfaces, conscious that not only architecture or design objects, but space in general, exist due to their structural/configurational properties, real or virtual.

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References

  1. Duffy, S.B.: Deleuze and the History of Mathematics. A&C Black (2013)

    Google Scholar 

  2. Monteleone, C.: Frank Lloyd Wright: geometria e astrazione nel Guggenheim Museum. Aracne, Roma (2013)

    Google Scholar 

  3. Alberti, L.B.: De Pictura, p. 20. Laterza, I, Bari (1980)

    Google Scholar 

  4. Potié, P.: Philibert de l’Orme. Figures de la pensée constructive, p. 9. Editions Parenthèses, Marseille (1996)

    Google Scholar 

  5. De L’Orme, P.: Architecture de Philibert De L’Orme, lyonnois, conseiller et aumosnier ordinaire du Roy, et abbé de Sainct Serge les-Angers Oeuvre entière contenantunzeLivres, augmentée de deux; et autres Figures non encoreveues, tant pour dessins qu’ornemens de maison. Avec une belle invention pour bien bastir et a petit frais. Tres-utile pour tous Architectes et Maistres Iurez au dit Art, usant la Regle et Compas. Federic Morela, Parigi (1567)

    Google Scholar 

  6. Monge, G.: Géométrie descriptive. Baudouin, Paris (1798)

    Google Scholar 

  7. Poncelet, J.V.: Traité des propriétés projectives des figures: ouvrage utile a ceux qui s’occupent des applications de la géométrie descriptive et d’opérations géométriques sur le terrain. Mallet-Bachelier, Paris (1822)

    Google Scholar 

  8. Houzel, C.: The birth of non-Euclidean geometry. In: Boi, L., Flament, D., Salanskis, J.M. (eds.) 1830–1930: A Century of Geometry. Lecture Notes in Physics, vol 402. Springer, Heidelberg (1992)

    Google Scholar 

  9. Goulnara, N.A., Bartholdi, L., Burillo, J., Ventura, E.: Geometric Group Theory: Geneva and Barcelona Conferences, 24 set 2007. Springer Science & Business Media (2007)

    Google Scholar 

  10. Venema, G.: Foundations of Geometry. Pearson, Boston (2012)

    Google Scholar 

  11. De Rosa, A., Giordano, A., Sgrosso, A.: La geometria nell’immagine. Storia dei metodi di rappresentazione, vol. 1–3, UTET, Torino (2000–2002)

    Google Scholar 

  12. Sgrosso, A.: Geometria e Spazio architettonico. In: Quaderni di Ricerca, Napoli (1976)

    Google Scholar 

  13. Ugo, V.: Fondamenti della rappresentazione architettonica. Esculapio, Bologna (1994)

    Google Scholar 

  14. Heath, T.: The Thirteen Books of Euclid’s Elements. Dover Publications, New York (1956)

    MATH  Google Scholar 

  15. Ficino, M.: Commentary on the symposium. In: Panofsky, E. (eds.) Idea: A Concept in Art Theory, pp. 136–137. Icon, New York (1958)

    Google Scholar 

  16. Alberti, L.B.: I dieci libri di architettura. Milan (1833)

    Google Scholar 

  17. Torroja, E.: Philosophy of Structures. Translation J. J. Polivka, Milos Polivka, University of California Press (1962)

    Google Scholar 

  18. Carlevaris, L., De Carlo, L., Migliari, R.: Attualità della geometria descrittiva. In: Seminario nazionale sul rinnovamento della Geometria descrittiva, Roma, December 2009–March 2010. Gangemi, Rome (2012)

    Google Scholar 

  19. Bianchini, C., Calvo-López, J., Giordano, A., López-Mozo, A., Navarro-Camallonga, P., Spallone, R., Vitali, M.: Sistemi voltati complessi: geometria, disegno, costruzione. Complex Vaulted Systems: Geometry, Design, Construction. Aracne, Roma (2020)

    Google Scholar 

  20. Borin, P., Giordano, A., Panarotto, F.: Integration between perspective images and BIM models: projective geometry is still alive. In: Cocchiarella, L. (ed.) Proceedings of the 18th International Conference on Geometry and Graphics, ICGG 2018, vol. 1, pp. 197–207. Springer, Milan (2018)

    Google Scholar 

  21. Banchoff, T.F.: Beyond the Third Dimension. Geometry, Computer Graphics, and Higher Dimensions. Scientifica American Library, New York (1990)

    Google Scholar 

  22. Niemtschick, R.: Einfache Construction windschifere Hyperboloide un Paraboloide mit ihren ebenen Schnitten und Selbstschartten, Vienna (1870)

    Google Scholar 

  23. Schoute, P.H.: Une lecon de geométrie descriptive sur l’emploi des quantités imaginaires, Parigi (1909)

    Google Scholar 

  24. Stephanidis, C.: HCI International 2018 – Posters’ Extended Abstracts: 20th International Conference, HCI International 2018, Las Vegas, NV, USA, 15–20 July 2018, Proceedings, Part III. Springer (2018)

    Google Scholar 

  25. Giordano, A.: Cupole, volte e altre superfici. La genesi e la forma. UTET, Torino (1999)

    Google Scholar 

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Correspondence to Andrea Giordano .

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Borin, P., Bernardello, R., Panarotto, F., Giordano, A., Zaggia, A. (2021). Geometry, Between History and Shape Configuration. In: Cheng, LY. (eds) ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics. ICGG 2021. Advances in Intelligent Systems and Computing, vol 1296. Springer, Cham. https://doi.org/10.1007/978-3-030-63403-2_79

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  • DOI: https://doi.org/10.1007/978-3-030-63403-2_79

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  • Online ISBN: 978-3-030-63403-2

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