id |
acadia09_75 |
authors |
Ottevaere, Olivier; Hanna, Sean |
year |
2009 |
title |
Quasi-Projection: 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 978-0-9842705-0-7] Chicago (Illinois) 22-25 October, 2009), pp. 75-81 |
doi |
https://doi.org/10.52842/conf.acadia.2009.075
|
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 non-repeating, complex forms from a minimal set of modular elements. Several well-known 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 high-dimensional 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 non-repeating complex surface. As an example, the fabrication in concrete of a cylindrical tiling is used to demonstrate the mass production of a continuous, free-flowing 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 |
|
full text |
file.pdf (217,808 bytes) |
references |
Content-type: text/plain
|
Aranda and Lash (2006)
Tooling
, Pamphlet Architecture 27, New York, Princeton Architectural Pres
|
|
|
|
Bal, Philip (1999)
The self-Made 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)
Thre-dimensional analogs of the planar Penrose tilings and Quasicrystals
, Discrete Mathematics, vol.76. p.1-7
|
|
|
|
DeBruijn, N.G. (1981)
Algebraic theory of Penrose’s Nonperiodic Tilings of the Plane, I, II
, Nederl. Akad. Wetensch. Indag. Math. vol.43: pgs.39-52, 53-66
|
|
|
|
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 |
2022/06/07 08:00 |
|