Planning a dynamical movement of patterns based on groups relations
*Paz AmsellemCorresponding authorpazamsellem@gmail.comDepartment of Industrial DesignHolon Institute of TechnologyHolon, 5810201, IsraelView full profile → , Shai Gulshaigo@hit.ac.ilDepartment of MathematicsHolon Institute of TechnologyHolon, 5810201, IsraelView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Apr 2024
- Published Online:
- 21 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2069
- Pages:
- 1505–1516
Abstract
Keywords
Subject Classifications
References
[1] B. Berman, “3-D Printing: The New Industrial Revolution,” Business Horizons, vol. 55, no. 2, pp. 155–162 (2012).
[2] K. Neuburg, S. Quadflieg, and S. Nestler, “Will Artificial Intelligence Make Designers Obsolete?” in Proc. First Conf. Designing with Artificial Intelligence, München: appliedAI, pp. 80–85 (2021).
[3] K. Warisaya, J. Sato, and T. Tachi, “Freeform Auxetic Mechanisms Based on Corner-Connected Tiles,” Journal of the International Association for Shell and Spatial Structures, vol. 63, no. 4, pp. 263–271 (2022).
[4] J. Hervé, “The Lie Group of Rigid Body Displacements, a Fundamental Tool for Mechanism Design,” Mechanism and Machine Theory, vol. 34, no. 5, pp. 719–730 (1999). [Online]. Available: https://www.sciencedirect.com/science/article/pii/S0094114X98000512.
[5] R. Watada, M. Ohsaki, and Y. Kanno, “Group Theoretic Approach to Large-Deformation Property of Three-Dimensional Bar-Hinge Mechanism,” Japan Journal of Industrial and Applied Mathematics, vol. 36, pp. 177–208 (2019).
[6] A. Derouet-Jourdan, S. Kaji, and Y. Mizoguchi, “A Linear Algorithm for Brick Wang Tiling,” Japan Journal of Industrial and Applied Mathematics, vol. 36, pp. 749–761 (2019).
[7] “The Fletcher Capstan Table,” March (2023). [Online]. Available: https://www.youtube.com/watch?v=hsmTPBToih4. [Accessed: Mar. 2023].
[8] “Expanding Table,” May (2020). [Online]. Available: https://www.youtube.com/watch?v=L5w16WtRQ1I. [Accessed: May 2020].
[9] K. Kshirsagar, “Hex-Flex,” Bridges Aalto 2022 Art Exhibition Catalog. [Online]. Available: http://gallery.bridgesmathart.org/exhibitions/2022-bridges-conference/kkshir.
[10] P. Amsellem and S. Gul, “Dynamical Tilings in Industrial Design,” in Proc. Bridges 2023: Mathematics, Art, Music, Architecture, Culture, J. Holdener, E. Torrence, C. Fong, and K. Seaton, Eds. Phoenix, Arizona: Tessellations Publishing, pp. 413–416 (2023). [Online]. Available: http://archive.bridgesmathart.org/2023/bridges2023-413.html.
[11] J. H. Conway, H. Burgiel, and C. Goodman-Strauss, The Symmetries of Things. Taylor and Francis Group: CRC Press (2016).
[12] “Dynamical Tiling - 632,” Sep. (2013). [Online]. Available: https://www.youtube.com/watch?v=rhO6J8cZK20. [Accessed: Sep. 2013].




