Classical Greek geometry consisted of straight lines and curves. However, it was unable to describe mathematically the surface areas of geometric figures. It was only when a right-angled system of coordinates was introduced in the seventeenth century that straight lines, curves, and geometric objects could be translated into mathematical equations. The young discipline of analytical geometry, which first linked geometry and algebra, made it possible to solve geometric problems mathematically. Equations made new geometric constructions possible, which in the second half of the nineteenth century created real models and objects of high complexity and aesthetic beauty.
In the 1930s the Surrealists discovered the beauty of these mathematical models.
In his essay “The Crisis of the Object” (1936) André Breton situates mathematical objects next to other artistic categories of objects such as Objet trouvé, mobile objects, Ready-Mades, irrational objects, and so on. ARTISTS: Rudolf Belling – David Bill – Jakob Bill – Max Bill – Mary Ellen Bute – Gerard Caris – Attila Csörgő – Olafur Eliasson – Equipo 57 – Karlis Johansons – Toshimasa Kikuchi – Konstantin Medunezkij (Dieter Zaha and Michael Düchting: reconstruction) – Henry Moore – François Morellet – Bruno Munari – Man Ray – Alexander Rodchenko –Wladimir Stenberg – Hiroshi Sugimoto – H.W. Twardzik – Timm Ulrichs – Georges Vantongerloo – Mary Vieira – Ruth Vollmer – Martin Willing