Kinetic Rosette Patterns and Tessellations

Kinetic Rosette Patterns and Tessellations

Valentina Beatini

Department of Architecture, Abdullah Gül University, Turkey.

Page: 
631-641
|
DOI: 
https://doi.org/10.2495/CMEM-V5-N4-631-641
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

The paper investigates the possibility to create kinetic rosette patterns and their tessellations by means of modular linkages which rely on the same type and number of symmetry operations as the reference models. The mechanisms show a hierarchy of movements. It is found that symmetry is an effective unifying concept in the design of both the fixed models and the mechanisms. Furthermore, the resulting rosette linkages and their tessellations have peculiar kinematic characteristics if compared to other modular mechanisms which may be alternatively used to reproduce the same kind of models. 

Keywords: 

2D-point symmetry, assemblage of linkages, dihedral and cyclic symmetry, rosette pattern, kinetic tessellation

  References

[1] Kaplan, C.S. & Salesin, D.H., Islamic star patterns in absolute geometry. ACM Trans-actions on Graphics, 23(2), pp. 97–119, 2004. http://dx.doi.org/10.1145/990002.990003

[2] Çolakoğlu, B., Yazar, T. & Uysal, S., Educational experiment on generative tool  development in architecture. PatGen: Islamic star pattern generator. Proceeding 26th eCAADe Conference. Education and Research in Computer Aided Architectural Design in Europe, eCAADe, 2008.

[3] Hankin, E.H., The drawing of geometric patterns in Saracenic art. Memoirs of the  Archaeological Society of India,15, 1925.

[4] Lee, A.J., Islamic Star Patterns. Muqarnas, 4, pp. 182–197, 1995.

[5] Abbas, S.J. & Salman, A., Symmetries of Islamic Geometrical Patterns, World  Scientific: Singapore, 1995. http://dx.doi.org/10.2307/1523103

[6] Owen, J., The Grammar of Ornament, Dover Publications: New York, 1989.

[7] Luo, Y., Mao, D. & You, Z., On a type of radially retractable plate structures. Interna-tional Journal of Solids Structures, 44(10), pp. 3452–3467, 2007. http://dx.doi.org/10.1016/j.ijsolstr.2006.09.035

[8] Beatini, V., Kinetic planar tessellations. Proceedings of the International Association for Shell and Spatial Structures, Future Visions, IASS, Amsterdam, 2015.