CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

id acadia11_308
authors Celento, David; Harriss, Edmund
year 2011
title Potentials for Multi-dimensional Tessellations in Architectural Applications
source ACADIA 11: Integration through Computation [Proceedings of the 31st Annual Conference of the Association for Computer Aided Design in Architecture (ACADIA)] [ISBN 978-1-6136-4595-6] Banff (Alberta) 13-16 October, 2011, pp. 308-313
summary Computationally, there exist significant potentials to integrate periodic (repeating) and aperiodic (non-repeating) tessellations in architectural applications. While exploration of two-dimensional and three-dimensional tessellations appear in historically significant works, today, higher-dimensional tessellations are capable of being generated computationally which may be useful in various architectural applications. This paper, a collaboration between an architect and mathematician, explores these processes and potentials. Insights will be offered into this early stage exploration regarding the creation and use of higher-dimensional geometries for architectural applications—such as patterning, volumetric descriptions, and modular assemblages.
series ACADIA
type work in progress
email dcelento@gmail.com
full text file.pdf (2,414,572 bytes)
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100%; open Bonner, J. (2003) Find in CUMINCAD Three traditions of self-similarity in fourteenth and fifteenth century Islamic geometric ornament , Ed. R. Sarhangi and N. Friedman. Proceedings of ISAMA: Bridges: Mathematical Connections in Art, Music and Science. 1-12. Granada
100%; open Cromwell, P. R. (2009) Find in CUMINCAD The search for quasi-periodicity in Islamic 5-fold ornament , The Mathematical Intelligencer 31 (1): 36-56
100%; open Culik, K. II, et al. (1996) Find in CUMINCAD An aperiodic set of 13 wang tiles , Discrete Mathematics 160 (1-3): 245-251
100%; open de Bruijn, N. G. (1981) Find in CUMINCAD Algebraic theory of Penrose’s nonperiodic tilings of the plane , Nederl. Akad. Wetensch. Indag. Math. 43:39-52, 53-66
100%; open Eppstein, D. (1996) Find in CUMINCAD Zonohedra and zonotopes , Mathematica in Education and Research 5: 15-21
100%; open Kari, J. (1996) Find in CUMINCAD A small aperiodic set of wang tiles , Discrete Mathematics 160 (1-3): 259-264
100%; open Socolar, J. E. S. and J. M. Taylor (2010) Find in CUMINCAD An aperiodic hexagonal tile , arXiv Preprint arXiv:1003.4279
100%; open Towle, R., R. E. Maeder, D. B. Wagner, H. Murrell, I. Vardi, L. G. Hector Jr., K. B. Lippert, and J. M. Fridy (1996) Find in CUMINCAD Polar zonohedra , Mathematica Journal 6:8-17
100%; open Ziegler, G. M. (1995) Find in CUMINCAD Lectures on polytopes , Graduate Texts in Mathematics. 7:198-208 revised, illustrated, reprint ed. New York : Springer

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