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He is best known for his discovery of the Möbius strip, a non-orientable two-dimensional surface with only one side when embedded in three-dimensional Euclidean space. It was independently discovered by Johann Benedict Listing a few months earlier. [3] The Möbius configuration, formed by two mutually inscribed tetrahedra, is also named after him.
This is a list of artists who actively explored mathematics in their artworks. [3] Art forms practised by these artists include painting , sculpture , architecture , textiles and origami . Some artists such as Piero della Francesca and Luca Pacioli went so far as to write books on mathematics in art.
Ideas from mathematics have been used as inspiration for fiber arts including quilt making, knitting, cross-stitch, crochet, embroidery and weaving. A wide range of mathematical concepts have been used as inspiration including topology, graph theory, number theory and algebra.
Discovered in 1858 by two German mathematicians—August Ferdinand Möbius and Johann Benedict Listing—the Möbius strip is a mind-bending shape that’s actually relatively easy to make. Take a ...
On a smaller scale, Moebius Chair (2006) by Pedro Reyes is a courting bench whose base and sides have the form of a Möbius strip. [109] As a form of mathematics and fiber arts, scarves have been knit into Möbius strips since the work of Elizabeth Zimmermann in the early 1980s. [110]
12 October 2010 – 13 March 2011: «Mœbius transe forme» exposition at the Fondation Cartier pour l'art contemporain, Paris, France, which the museum had called "the first major exhibition in Paris devoted to the work of Jean Giraud, known by his pseudonyms Gir and Mœbius."
The mathematician Jerry P. King describes mathematics as an art, stating that "the keys to mathematics are beauty and elegance and not dullness and technicality", and that beauty is the motivating force for mathematical research. [91] King cites the mathematician G. H. Hardy's 1940 essay A Mathematician's Apology.
The Möbius function () is a multiplicative function in number theory introduced by the German mathematician August Ferdinand Möbius (also transliterated Moebius) in 1832. [i] [ii] [2] It is ubiquitous in elementary and analytic number theory and most often appears as part of its namesake the Möbius inversion formula.