Artist: Salvador Dali
Style: Surrealism
Technique: Oil
The Swallow's Tail — Series on Catastrophes (French: La queue d'aronde — Série des catastrophes) was Salvador Dalí's last painting. It was completed in May 1983, as the final part of a series based on René Thom's catastrophe theory.Thom suggested that in four-dimensional phenomena, there are seven possible equilibrium surfaces, and therefore seven possible discontinuities, or "elementary catastrophes": fold, cusp, swallowtail, butterfly, hyperbolic umbilic, elliptic umbilic, and parabolic umbilic. "The shape of Dalí’s Swallow’s Tail is taken directly from Thom’s four-dimensional graph of the same title, combined with a second catastrophe graph, the s-curve that Thom dubbed, "the cusp". Thom’s model is presented alongside the elegant curves of a cello and the instrument’s f-holes, which, especially as they lack the small pointed side-cuts of a traditional f-hole, equally connote the mathematical symbol for an integral in calculus.
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