and even in paper towels!īecause tessellations repeat forever in all directions, the pattern can't have unique points or lines that occur only once, or look different from all other points or lines. You can find tessellations of all kinds in everyday things-your bathroom tile, wallpaper, clothing, upholstery. anything goes as long as the pattern radiates in all directions with no gaps or overlaps. They can be composed of one or more shapes. Springer.This month, we're celebrating math in all its beauty, and we couldn't think of a better topic to start than tessellations! A tessellation is a special type of tiling (a pattern of geometric shapes that fill a two-dimensional space with no gaps and no overlaps) that repeats forever in all directions. The Penguin dictionary of curious and interesting geometry. Patterns in the plane and beyond: Symmetry in two and three dimensions. Kaleidoscopes: Selected Writings of HSM Coxeter. Sherk, F Arthur, Peter McMullen, Anthony C Thompson, and Asia Ivic Weiss. Visions of symmetry: Notebooks, periodic drawings, and related work of MC Escher. International Journal of Architectural Computing 10 (1):1-11.
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A family of 3D-spacefillers not permitting any periodic or quasiperiodic tiling: World Scientific: Singapore.ĭunham, Douglas. The Mathematical Intelligencer 31 (1):36-56. The Search for Quasi-Periodicity in Islamic 5-fold Ornament. Cambridge University Press.Ĭromwell, Peter R. Nexus Network Journal 18 (1):223-274.Ĭoxeter, Harold Scott Macdonald. The American Mathematical Monthly 33 (8):397-406.Ĭastera, Jean-Marc. 4 Computer Algorithms for Star Pattern Construction. Journal of Mathematics and the Arts 12 (2-3):128-143. Doing the Jitterbug with Islamic geometric patterns. Islamic geometric patterns: their historical development and traditional methods of construction. 2 Differentiation: Geometric Diversity and Design Classification. Granada, Spain: University of Granada.īonner, Jay. In Meeting Alhambra, ISAMA-BRIDGES Conference Proceedings. Three Traditions of Self-Similarity in Fourteenth and Fifteenth Century Islamic Geometric Ornament. The introduction of the muqarnas into Egypt. Symmetries of Islamic geometrical patterns.
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