CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
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id kozlov02_paper_eaea2007
authors Kozlo, Dmitri
year 2008
title Topological Method of Construction of Point Surfaces as Physical Models
source Proceedings of the 8th European Architectural Endoscopy Association Conference
summary The shape of architectural objects in general can be treated as an envelope – a two dimensional surface embedded into three dimensional space. We directly perceive only the surface as a synthesis of sequential “photo snaps” – the two dimensional imprints on a retina – a concave screen inside of our eyes. In 15th century Italian architect and theorist L. B. Alberti claimed that the architecture consists in the outlines and the structure (lineamenta et structura in the original Latin text). The visible shape (outlines) exists only because a directly not perceived structure determines it. Like Alberti, the modern mathematical theories of form distinguish the shape as an exterior surface and the form itself as an internal structure. This subtle difference becomes a very important subject in the relationship between a virtual and a physical model in the studies of architectural endoscopy.
keywords topology, manifold, knots, point surface, physical model
series EAEA
full text file.pdf (918,656 bytes)
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100%; open Alberti L. B. (1935) Find in CUMINCAD Ten Books on Architecture , All-Union Academy of Architecture, Moscow. Volume 1
100%; open Hilbert D., Cohn-Vossen S. (1999) Find in CUMINCAD Geometry and the Imagination , Chelsea, New York
100%; open Kozlov D. Yu. (1989) Find in CUMINCAD Regular knots and links as a structural principle of kinetic architectural structures , Scientific works of The Laboratory of Architectural Bionics. Published by TSNIIEP Zhilischa, Moscow
100%; open Kozlov D. Yu. (1991) Find in CUMINCAD Polymorphous resilient-flexible shaping structures “NODUS” for space and other extreme environments , Final Conference Proceedings Report of The First International Design for Extreme Environments Assembly (IDEEA ONE), University of Houston. Houston, 1991. p. 259 – 260
100%; open Kozlov D. Yu. (1991) Find in CUMINCAD Dome structures for flexible material // Roofs. Part 1 , Human settlements and socio-cultural environment. Paris, UNESCO, 1991. p. 127 – 131
100%; open Lebedev Yu. S. and others (1990) Find in CUMINCAD Architectural Bionics , Stroyizdat, Moscow
100%; open Liu L. F. (1976) Find in CUMINCAD Knotted Single-stranded DNA Rings , Depew R. E., Wang J.C. // Journal of Molecular Biology, 1976.-Vol. 106. p. 439 – 452
100%; open Lord E. A., Wilson C. B. (1984) Find in CUMINCAD The Mathematical Description of Shape and Form , John Wiley & Sons, New York
100%; open Otto F. and others (1974) Find in CUMINCAD Grid Shells , Institute for Lightweight Structures (IL-10), University of Stuttgart, Stuttgart 1974
100%; open Stewart I. (1993) Find in CUMINCAD Finding the Energy to Solve a Knotty Problem , New Scientist. March 1993. 18 p.
100%; open Thurston W.P. (1984) Find in CUMINCAD The mathematics of three-dimensional manifolds , Weeks J.R. // Scientific American, July 1984, pp 94 - 106

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