This week I describe an artistic exploration I went on after modeling as realistic looking of a seashell as I could using Rhino and Grasshopper (described here). That model was a surface defined by two different curves that were replicated, at increasingly smaller scales, around a logarithmic spiral. Once I had done this, I decided to experiment. I wanted
This week I’ll describe one strategy for representing 4-dimensional objects in 3-dimensions, using both modern and traditional media. While more than three spatial dimensions is a foreign concept to most people, Mathematicians have been studying theoretical objects in four dimensions and more for over a century. (Some contemporary Mathematicians even think about infinite-dimensional things, whatever that means!).
Anyone who has ever seen my work should have expected that sooner or later I would write a post (or two or three) about seashells…. There are many places in nature where there appear to be mathematical laws at play. For example, pinecones exhibit the mathematical phenomenon of phyllotaxis, tree branching can be modeled with various fractal-generating
This week has been an exciting one here at Pitzer College. I’m currently co-teaching a class on “Mathematics and 3D Printing” with our Ceramics Professor, Tim Berg. Tim is also teaching a class on mold-making that I’ve been auditing when I can. For the benefit of both classes, Tim invited Bryan Czibesz, from SUNY New
Many years ago my wife and I co-taught a class on the Mathematics of Tilings. We have a lot of Islamic tiling patterns around our house, and I think we were excited about the class because it gave us the chance to learn more about the general theory of tilings, as well as about how these particular
This project was neither Math nor Art, but it called on a lot of the skills I developed doing both, so I thought it appropriate to write about here. Last June I was contacted by our Office of Student Affairs about a student who would be joining us in the Fall. The student is visually impaired,
A little over a year ago (February, 2015) I was contacted by Los Angles artist Clare Graham about making some models. He had become interested in the illustrations of polyhedra in the 1509 book De Divina Proportione, by Luca Pacioli. What’s significant about these illustrations is that they were done from woodcuts by Leonardo da