References
- Artmann, B. (1991). The cloisters of Hauterive. The Mathematical Intelligencer, 13(2), 44–49. https://doi.org/10.1007/BF03024086
- Billings, R. W. (1851). The power of form applied to geometric tracery. William Blackwood and Sons.
- Bonner, J. (2017). Islamic geometric patterns. Springer.
- Bourgoin, J. (1879). Les eléments de l'art arabe: le trait des entrelacs. Firmin-Didot; Plates reprinted in (1973). Arabic Geometric Pattern and Design. Dover Publications.
- Coxeter, H. S. M. (1961). Introduction to geometry. Wiley and Sons.
- Cromwell, P. R. (2016). Modularity and hierarchy in Persian geometric ornament. Nexus Network Journal, 18(1), 7–54. https://doi.org/10.1007/s00004-015-0280-6
- Cromwell, P. R. (2021). Looking at Islamic patterns I: The perception of order. Preprint, https://doi.org/10.31234/osf.io/qhg3f.
- Cromwell, P. R. (2021). Looking at Islamic patterns II: Making sense of geometry. Preprint, https://doi.org/10.31234/osf.io/kwce4.
- Cromwell, P. R. (2023a). Creating constellation patterns I: Composition. Nexus Network Journal, 25. https://doi.org/10.1007/s00004-023-00652-0
- Cromwell, P. R. (2023b). Creating constellation patterns II: Enumeration. Nexus Network Journal, 25. https://doi.org/10.1007/s00004-023-00651-1
- Dunbabin, K. M. D. (1999). Mosaics of the Greek and Roman world. Cambridge University Press.
- Farley, J., & Hunter, F. (2015). Celts: Art and identity. British Museum Press.
- Fejes Tóth, L. (1964). Regular figures (International Series in Monographs on Pure and Applied Mathematics), Pergamon.
- Fernique, T., Hashemi, A., & Sizova, O. (2021). Compact packings of the plane with three sizes of discs. Discrete Comput. Geometry, 66(2), 613–635. https://doi.org/10.1007/s00454-019-00166-y
- Hamekasi, N., & Samavati, F. (2012). Designing Persian floral patterns using circle packing. In P. Richard, M. Kraus, R. S. Laramee & J. Braz (Eds.), GRAPP/IVAPP, Proceedings of joint conference computer graphics theory and applications and information visualization theory and applications (pp. 135–142). SciTePress.
- Hankin, E. H. (1905). On some discoveries of the methods of design employed in Mohammedan art. Journal of the Society of Arts, 53(17 March), 461–477.
- Kennedy, T. (2006). Compact packings of the plane with two sizes of discs. Discrete and Computational Geometry, 35(2), 255–267. https://doi.org/10.1007/s00454-005-1172-4
- Pollicott, M. (2015). Apollonian circle packings. In C. Bandt, K. Falconer & M. Zähle, Fractal geometry and stochastics V, progress in probability, (Vol. 70, pp. 121–142). Birkhauser.
- Schmidhuber, J. (1997). Low-complexity art. Leonardo, 30(2), 97–103. https://doi.org/10.2307/1576418
- Schneider, G. (1980). Geometrische Bauornamente der Seldschuken in Kleinasien (Geometric architectural ornament of the Seljuks in Asia Minor). Reichert.
- Specht, E. (2023). Packomania. https://www.packomania.com/
- Stephenson, K. (2005). Introduction to circle packing: The theory of discrete analytic functions. Cambridge University Press.
- Stephenson, K. (2009). CirclePack software. https://web.math.utk.edu/kens/CirclePack/
- Tarnai, T., & Miyazaki, K. (2003). Circle packings and the sacred lotus. Leonardo, 36(2), 145–150. https://doi.org/10.1162/002409403321554215
- Wade, D. (2023). Pattern in Islamic art: The wade photo-archive. https://www.patterninislamicart.com/