The Archer ny Yang Liu

"The Archer" by Yang Liu - © Yang Liu
Oil on canvas, 36 by 36 inches, January 2009.

Meander Art

"Geometry is the right foundation of all painting." - Albrecht Durer

Meander art deals with the incorporation of meander curves into artworks. For example, in the above painting titled "The Archer" by Yang Liu, there is a single meandering closed curve that comprises: the archer pulling the string of the bow, the string and bow themselves, and the curve that meanders around 9 of the 10 suns in the universe.

You can read more about this topic in the following papers.
  1. Yang Liu and Godfried T. Toussaint, “The marble frieze patterns of the Cathedral of Siena: Geometric structure, multi-stable perception, and types of repetition,” Journal of Mathematics and the Arts, Vol. 5, Issue 3, 2011, pp. 115-127.
  2. Yang Liu and Godfried T. Toussaint, "Types of repetition and multistable perception in the frieze patterns on the marble pavement of the Cathedral of Siena," Proceedings of Bridges-2010: Mathematics, Music, Art, Architecture, Culture, Pécs, Hungary, July 24-28, 2010, pp. 43-50.
  3. Yang Liu  and Godfried T. Toussaint, “A unique Venetian meander pattern in the Palazzo Cavalli Franchetti: A comparative geometric analysis and application to pattern design,” Proceedings of ISAMA 2010, Ninth Interdisciplinary Conference of the International Society of the Arts, Mathematics, and Architecture, DePaul University, Chicago, Illinois, June 21-25, 2010, pp. 69-82.
  4. Yang Liu and Godfried T. Toussaint, “Categories of repetition in the geometric meander art of Greek and Roman mosaics,” Hyperseeing, Spring 2010, pp. 25-38. Published by ISAMA, The International Society of the Arts, Mathematics, and Architecture.
  5. Godfried T. Toussaint and Yang Liu, "Repetition of geometric meander patterns in  ancient Greek and Roman mosaics," Proceedings of the 8th International Conference on Arts and Humanities, Honolulu, Hawaii, January 13-16, 2010, pp. 761-773.
  6. Yang Liu and Godfried T. Toussaint, "Unraveling Roman mosaic meander patterns: a simple algorithm for their generation," Journal of Mathematics and the Arts, Vol. 4, No. 1, March 2010, pp. 1-11.
  7. Yang Liu, “Visual art as research: explorations with Sona drawings,” Leonardo, Vol. 43, No. 2, April 2010, pp. 129-131.
  8. Yang Liu, "Cross-culturalism in painting: visualization via meanders," Journal of Visual Arts Practice, Vol. 8, No. 3, 2009, pp. 205-214.
  9. Yang Liu, “From Sona drawings to contemporary art,” HYPERSEEING, Summer 2009, pp. 37-41. Published by ISAMA, The International Society for the Arts, Mathematics, and Architecture.
  10. Yang Liu and Godfried T. Toussaint, “A new method for classifying fret and meander patterns,” HYPERSEEING, Summer 2009, pp. 43-50. Published by ISAMA, The International Society for the Arts, Mathematics, and Architecture.