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 
email 
dmitrykozlov@mtunet.ru 
more 
http://info.tuwien.ac.at/eaea 
full text 
file.pdf (918,656 bytes) 
references 
Contenttype: text/plain

Alberti L. B. (1935)
Ten Books on Architecture
, AllUnion Academy of Architecture, Moscow. Volume 1




Hilbert D., CohnVossen S. (1999)
Geometry and the Imagination
, Chelsea, New York




Kozlov D. Yu. (1989)
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




Kozlov D. Yu. (1991)
Polymorphous resilientflexible 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




Kozlov D. Yu. (1991)
Dome structures for flexible material // Roofs. Part 1
, Human settlements and sociocultural environment. Paris, UNESCO, 1991. p. 127 – 131




Lebedev Yu. S. and others (1990)
Architectural Bionics
, Stroyizdat, Moscow




Liu L. F. (1976)
Knotted Singlestranded DNA Rings
, Depew R. E., Wang J.C. // Journal of Molecular Biology, 1976.Vol. 106. p. 439 – 452




Lord E. A., Wilson C. B. (1984)
The Mathematical Description of Shape and Form
, John Wiley & Sons, New York




Otto F. and others (1974)
Grid Shells
, Institute for Lightweight Structures (IL10), University of Stuttgart, Stuttgart 1974




Stewart I. (1993)
Finding the Energy to Solve a Knotty Problem
, New Scientist. March 1993. 18 p.




Thurston W.P. (1984)
The mathematics of threedimensional manifolds
, Weeks J.R. // Scientific American, July 1984, pp 94  106




last changed 
2008/04/29 18:46 
