id 
acadia09_75 
authors 
Ottevaere, Olivier; Hanna, Sean 
year 
2009 
title 
QuasiProjection: Aperiodic Concrete Formwork for Perceived Surface Complexity 
source 
ACADIA 09: reForm( )  Building a Better Tomorrow [Proceedings of the 29th Annual Conference of the Association for Computer Aided Design in Architecture (ACADIA) ISBN 9780984270507] Chicago (Illinois) 2225 October, 2009), pp. 7581 
summary 
Aperiodic tiling patterns result in endlessly varied local configurations of a limited set of basic polygons, and as such may be used to economically produce nonrepeating, complex forms from a minimal set of modular elements. Several wellknown tilings, such as by Penrose (2D) and Danzer (3D), have been used in architecture, but these are only two examples of an infinite set of possible tilings that can be generated by the projection in two or three dimensions of highdimensional grids subject to rotations. This paper proposes an interface that enables the user to parametrically search for such tilings. Assembly rules are explained by which arbitrary geometry as specified by NURBS surfaces may be based on the pattern to form a nonrepeating complex surface. As an example, the fabrication in concrete of a cylindrical tiling is used to demonstrate the mass production of a continuous, freeflowing structure with the aid of a minimum amount of formwork. 
keywords 
Quasicrystals, aperiodic tiling, strip projection method, assembly rules, tangential continuity, formwork, modularity 
series 
ACADIA 
type 
Normal paper 
email 
olivier@multiplystudio.com 
full text 
file.pdf (217,808 bytes) 
references 
Contenttype: text/plain
details 
citation 
check to select 

Aranda and Lash (2006)
Tooling
, Pamphlet Architecture 27, New York, Princeton Architectural Pres



Bal, Philip (1999)
The selfMade Tapestry
, Pattern Formation in Nature , Oxford University Pres: p.9



Besley, Philip (2005)
Orgone Reef
, Architectural Design. Vol 75 (2005): p.46



Danzer, L. (1989)
Thredimensional analogs of the planar Penrose tilings and Quasicrystals
, Discrete Mathematics, vol.76. p.17



DeBruijn, N.G. (1981)
Algebraic theory of Penrose’s Nonperiodic Tilings of the Plane, I, II
, Nederl. Akad. Wetensch. Indag. Math. vol.43: pgs.3952, 5366



DiVincenzo, D P and P J Steinhardt (1999)
Quasicrystals
, The State of the Art, London. World Scientific, p.106



Hauer, Erwin (2007)
Architectural Screens and Walls
, Continua. New York. Princeton Architectural



Lyn, Greg (2007)
Greg Lyn Form
, New York. Rizoli



Penrose, Roger (1989)
The Emperor’s New Mind, New York
, Oxford University Press



Senechal, Marjorie (1995)
Quasicrystals and Geometry
, Cambridge University Press



last changed 
2009/11/26 16:44 
