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DUALITY IN MATHEMATICAL SCULPTURE: LINKING KLEIN BOTTLES IN GRANITE

HELAMAN FERGUSON

10512 Pilla Terra Court, Laurel, Maryland 20723-5728, USA

https://doi.org/10.1142/S0218654399000071Cited by:1 (Source: Crossref)

Abstract

My purpose here is to give some background to a series of sculptures I have been creating in which nonorientable surfaces, especially crosscaps, play a mathematical content role. The fundamental circle of theorems involved is on the classification of surfaces in terms of handles and crosscaps. The most basic examples are spheres, tori, möbius bands, projective planes, and klein bottles, cf., [CF1, HF1] for discussion of my earlier sculpture involving these concepts. For an exposition and further references to the mathematical background for the circle of theorems I refer to, see [FG1].

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References

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Helaman Ferguson, Eine Kleine Link Musik, III, IV, V, VI: Gift the Mathematical Association of America to the four coaches of the 1994 U. S. Mathematical Olympiad winning team. each of the four pairs is 0.768 kg, each klein bottle 10 cm in diameter, Serpentine, 1995. Each of i–vi is stone cut on a computer program controlled milling machine . Google Scholar
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