Goldbach Tilings - Abstract

Sharol Nau
Meeting Alhambra, ISAMA-BRIDGES Conference Proceedings (2003)
Pages 545–546


A simple, though still unproved mathematical concept was utilized in making drawings and paintings which were visually interesting and maintained references to nature. Christian Goldbach (1690-1764) conjectured that any even number greater than two has at least two primes that sum to that number. A series of drawings, paintings and assemblages involved partitioning a rectangle into an even number of triangles. Upon completion of the division, the triangles were rearranged corresponding to two prime numbers until an aesthetically satisfYing adjustment was produced. Color and texture heightened the visual effect as well as lent a human hand significance to the abstract image.