@ARTICLE{10.21494/ISTE.OP.2020.0498, TITLE={Geometry and the life of forms}, AUTHOR={Ruth Scheps, }, JOURNAL={Art and Science}, VOLUME={4}, NUMBER={Issue 2
}, YEAR={2020}, URL={http://openscience.fr/Geometry-and-the-life-of-forms}, DOI={10.21494/ISTE.OP.2020.0498}, ISSN={2515-8767}, ABSTRACT={Viewed globally, the life of forms shows the same tendency to complexification for natural forms and for geometric forms resulting from mathematics or art, with a clear acceleration for the latter in modern times. Since the beginning of the 20th century, geometric advances (non-Euclidean geometries, catastrophe theory, algorithmic geometry, fractal theory) have inspired artists, particularly those of geometric abstraction through all its avatars – from suprematism to digital art, via optical art, kinetic art, conceptual art and minimalism. This article addresses the "life of forms" in multiple ways: the respective status of form and formation in nature, the arts and the sciences; the role of time and movement in the perception of forms; the difficulty of the idea of form, at extreme dimensional scales; the relevance of the notions of edge and content as determining criteria of mathematical or artistic forms; the limits of the geometric approach to the knowledge of forms. Finally, the hypothesis will be put forward of a life of forms that goes beyond geometry and requires a sensory or spiritual approach.}}