Open AccessArt and Science Euclidean Geometry-The Five Axioms via Art
Author(s) -
Abraham Tamir
Publication year - 2019
Publication title -
archives of industrial engineering
Language(s) - English
Resource type - Journals
ISSN - 2637-9252
DOI - 10.31829/2637-9252/aie2019-2(1)-110
Subject(s) - mondrian , euclidean geometry , non euclidean geometry , painting , axiom , basis (linear algebra) , geometry , mathematics , foundations of geometry , art , visual arts , differential geometry , projective geometry
The major objective of this article is to demonstrate by artworks Euclid’s five axioms, which are the basis of his planar geometry. Euclid, a Greek mathematician and philosopher, lived between 325 BC and 265 BC where his image is demonstrated in (Figure 1). It was transplanted on an artwork of the Dutch painter Piet Mondrian (1872-1944) consisting of a grid of vertical and horizontal black lines which are the basis of Euclidean geometry.