RecordNumber
2064
Author
Goldstine, Susan
Title of Article
Capturing Eight-Color Double-Torus Maps
Title Of Journal
Bridges
Publication Year
2014
Page
377-380
Notes
ProceedingsofBridges2014:Mathematics,Music,Art,Architecture,Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
Abstract
The extensions of the Four-Color Map Theorem to surfaces of higher genus are difficult to visualize. For instance, without a physical model of a torus map with seven pairwise adjacent countries, it is hard to imagine that there are maps on a torus that require seven colors to color all the countries so that no adjacent countries are the same color. Making maps with large numbers of pairwise adjacent countries is a delightful artistic challenge that lends itself to a variety of media. Here, we present a scheme to produce a map that requires the maximum eight colors on a twoholed torus and show two artworks made with that scheme: a painted ceramic tea set and a bead crochet pendant.
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