Paper by Erik D. Demaine

Reference:

Erik D. Demaine, Martin L. Demaine, Perouz Taslakian, and Godfried T. Toussaint, “Sand Drawings and Gaussian Graphs”, in Proceedings of the 9th Annual Conference of BRIDGES: Mathematical Connections in Art, Music, and Science (BRIDGES 2006), London, England, August 4–8, 2006, pages 79–88.

Abstract:

Sand drawings form a part of many cultural artistic traditions. Depending on the part of the world in which they occur, such drawings have different names such as sona, kolam, and Malekula drawings. Gaussian graphs are mathematical objects studied in the disciplines of graph theory and topology. We uncover a bridge between sand drawings and Gaussian graphs, leading to a variety of new mathematical problems related to sand drawings. In particular, we analyze sand drawings from combinatorial, graph-theoretical, and geometric points of view. Many new mathematical open problems are illuminated and listed.

Length:

The paper is 10 pages.

Availability:

The paper is available in PostScript (1609k), gzipped PostScript (927k), and PDF (186k).

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Sona_JMA (Sand Drawings and Gaussian Graphs)