| authors |
Akleman, E., Chen, J. and Meric, B. |
| year |
2000 |
| title |
Intuitive and Effective Design of Periodic Symmetric Tiles |
| doi |
https://doi.org/10.52842/conf.acadia.2000.123
|
| source |
Eternity, Infinity and Virtuality in Architecture [Proceedings of the 22nd Annual Conference of the Association for Computer-Aided Design in Architecture / 1-880250-09-8] Washington D.C. 19-22 October 2000, pp. 123-127 |
| summary |
This paper presents a new approach for intuitive and effective design of periodic symmetric tiles. We observe that planar graphs can effectively represent symmetric tiles and graph drawing provides an intuitive paradigm for designing symmetric tiles. Moreover, based on our theoretical work to represent hexagonal symmetry by rectangular symmetry, we are able to present all symmetric tiles as graphs embedded on a torus and based on simple modulo operations. This approach enables us to develop a simple and efficient algorithm, which has been implemented in Java. By using this software, designers, architects and artists can create interesting symmetric tiles directly on the web. We also have designed a few examples of symmetric tiles to show the effectiveness of the approach. |
| series |
ACADIA |
| full text |
 file.pdf (365,421 bytes) |
| references |
Content-type: text/plain
|
Firby, P.A., and Gardiner, C.F. (1982)
 Surface Topology
, John Wiley and Sons Inc., New York
|
|
|
|
|
Grunbaum, B., and Shephard, G.C. (1987)
Tilings and Patterns
, W. H. Freeman \& Co., New York
|
|
|
|
|
Hargittai I., andHargittai, M. (1994)
Symmetry, A Unifying Concept
, Shelter Publications, Inc. Bolinas, Ca
|
|
|
|
|
Locher J.L. (1982)
M. C. Escher: His Life and Complete Graphic Work
, ed. Abrams, New York
|
|
|
|
| last changed |
2022/06/07 07:54 |
|
