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[1] Kaplan, C.S. & Salesin, D.H., Islamic star patterns in absolute geometry. ACM Trans-actions on Graphics, 23(2), pp. 97–119, 2004. [Crossref]
[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. [Crossref]
[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. [Crossref]
[8] Beatini, V., Kinetic planar tessellations. Proceedings of the International Association for Shell and Spatial Structures, Future Visions, IASS, Amsterdam, 2015.
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Open Access
Research article

Kinetic Rosette Patterns and Tessellations

valentina beatini
Department of Architecture, Abdullah Gül University, Turkey
International Journal of Computational Methods and Experimental Measurements
|
Volume 5, Issue 4, 2017
|
Pages 631-641
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
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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
Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

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. [Crossref]
[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. [Crossref]
[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. [Crossref]
[8] Beatini, V., Kinetic planar tessellations. Proceedings of the International Association for Shell and Spatial Structures, Future Visions, IASS, Amsterdam, 2015.
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Beatini, V. (2017). Kinetic Rosette Patterns and Tessellations. Int. J. Comput. Methods Exp. Meas., 5(4), 631-641. https://doi.org/10.2495/CMEM-V5-N4-631-641
V. Beatini, "Kinetic Rosette Patterns and Tessellations," Int. J. Comput. Methods Exp. Meas., vol. 5, no. 4, pp. 631-641, 2017. https://doi.org/10.2495/CMEM-V5-N4-631-641
@research-article{Beatini2017KineticRP,
title={Kinetic Rosette Patterns and Tessellations},
author={Valentina Beatini},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2017},
page={631-641},
doi={https://doi.org/10.2495/CMEM-V5-N4-631-641}
}
Valentina Beatini, et al. "Kinetic Rosette Patterns and Tessellations." International Journal of Computational Methods and Experimental Measurements, v 5, pp 631-641. doi: https://doi.org/10.2495/CMEM-V5-N4-631-641
Valentina Beatini. "Kinetic Rosette Patterns and Tessellations." International Journal of Computational Methods and Experimental Measurements, 5, (2017): 631-641. doi: https://doi.org/10.2495/CMEM-V5-N4-631-641
BEATINI V. Kinetic Rosette Patterns and Tessellations[J]. International Journal of Computational Methods and Experimental Measurements， 2017， 5(4)： 631-641. https://doi.org/10.2495/CMEM-V5-N4-631-641