Tessellations in Islamic Calligraphy

@article{Ahuja1995TessellationsII,
  title={Tessellations in Islamic Calligraphy},
  author={Mangho Ahuja and A. L. Loeb},
  journal={Leonardo},
  year={1995},
  volume={28},
  pages={41 - 45}
}
The authors provide a brief history of the art of calligraphy in Muslim cultures, highlighting examples of tessellations of words. The underlying principles for designing a word tessellation inscribed in a hexagon are discussed, and a test for determining which words can be tessellated is provided. The authors demonstrate their attempts at tessellating the word “Ali.” 

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References

SHOWING 1-10 OF 25 REFERENCES
In the Tower of Babel: Beyond symmetry in islamic design
A personal account of an interdisciplinary inquiry into the study of Islamic geometric design and architectural decoration touching on the fields of History, History of Science, Scientific Theory of
History of Indian and Eastern Architecture
The architecture of India is rooted in its history, culture and the numerous religions worshipped by the people. The information on architecture was, however, available only in the silpa-shastras,
Episodes in the mathematics of medieval Islam
1. Introduction.- x1. The Beginnings of Islam.- x2. Islam's Reception of Foreign Science.- x3. Four Muslim Scientists.- Al-Khw?rizm?.- Al-B?r?n?.- 'Umar al-Khayy?m?.- Al-K?sh?.- x4. The Sources.- x5.
Symmetries of culture
BRIDGES Mathematical Connections in Art, Music, and Science Plane patterns, both one-color and two-color, can be naturally classified according to the symmetries they admit. In this survey the
Tilings and Patterns
"Remarkable...It will surely remain the unique reference in this area for many years to come." Roger Penrose , Nature "...an outstanding achievement in mathematical education." Bulletin of The London
THE MAGIC OF THE PENTANGLE: DYNAMIC SYMMETRY FROM MERLIN TO PENROSE
Abstract Merlin the Magician instructs his charges Arthur and Kay in the secrets of dynamic symmetry, the logarithmic spiral, the golden fraction, -rectangle, and -triangle, Fibonacci numbers and the
The visual mind: art and mathematics
Mathematical forms rendered visually can give aesthetic pleasure; certain works of art - Max Bill's Moebius band sculpture, for example - can seem to be mathematics made visible. This collection of
The Fascination of Tiling
Mosaics that cover surfaces have long been of interest to designers and artists. Recently, however, mathematicians have turned their attention to these visual displays and found them a fascinating
Escher on Escher: Exploring the Infinite
Presents a selection of Escher's art and shares his comments on his work, symmetry, infinity, and paradox.
...
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2
3
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