"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.
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.
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.
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.
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.
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.
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.
Yang Liu, “Visual art
as
research: explorations with Sona drawings,” Leonardo, Vol. 43, No. 2, April
2010, pp. 129-131.
Yang Liu, "Cross-culturalism
in painting: visualization via meanders," Journal of Visual Arts Practice,
Vol. 8, No. 3, 2009, pp. 205-214.
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.
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.