The Art of Equations

Lin Hsin Hsin
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 413–416


From the soft-edged apple peels to the bird of paradise and leaves, from the hard-edged durians to desert cactus and coccothrinax, all can be formulated entirely by a 3-equations foundation. That is, one equation for each axis (x, y, z). The software auto computes the coordinates for each of the x, y and z axes as well as a varying real-time driven surface color and lighting parameters. Equations can be shaped to generate nature-like plants, birds and bees, marine creatures and 3D objects, to formulate Balinese face masks, kimono and obi belts. These generated 3D structures can be animated and morphed automatically, and it can be Web-enabled. When creating surfaces for the same object, equations are preferred over 3D modeling as it is extremely scalable and it is implemented with lean computational resources in hardware, software and manware, in fact, it is the minimum. This economy of expression is also the most flexible in real-time driven continuous facade changing for 3D geometry. It is an ecological purification of mathematically generated bit streams. This paper presents the results of an array of 3D structures formulated by equations. Keywords: 3D geometry, 3D modeling, equations, surfaces, digital sculptures, animation