Finally, we ask about distorting fabrics and strings, and ask about the roles of cutting, gluing, and of stretching without cutting or gluing. Describing light as waves and color as wavelength at once explains how mirrors, lenses, and prisms work and explains some uses of light and color in art.
We’ll study more generalized symmetry like scaling and self-similarity that occurs in fractals as well as every self-portrait, and is central to mathematical concepts of dimension and un very different from the work at coarser scales-it is not self-similar. Turning to symmetry, we’ll study rotational and reflective symmetry that arise in tiling and other art and math. What mathematical properties must be lost, and what can be preserved? How does an artwork evoke the feeling of three-dimensional space? We’ll study perspective, depictions of globes by maps, and the role of curvature.
Projection includes the depiction of three-dimensional objects in two dimensions. Major topics include Projection, Symmetry, Wave Behavior, and Distortion. And we’ll make our own art, by drawing, painting, folding origami papers, and more. In this class we will explore the Mathematics in great works of Art as well as folk art, as a way of studying and illustrating central mathematical concepts in familiar and pleasing material. Conversely, Mathematics gives techniques for analyzing, appreciating, and even creating Art, as well as the basis for gallery design, digital cameras, and processing of images. With just a little historical revisionism, we can say that Art has provided inspiration for many fields within Mathematics.
0 kommentar(er)
