One of the mathematical scenes that I’ve been involved with is the lighthouse. The top of the lighthouse will have two lights – one projecting horizontally from within a stained glass dodecahedron made by Bronna Butler, and the other projecting up on the the ceiling.
This will repurpose an old project of mine illustrating something called stereographic projection. Stereographic projection is a map from the sphere to the plane. So just like the Mercator map is a way of getting the continents of the globe on a flat piece of paper, stereographic projection is another way to do that.
A long time ago, I discovered with origami a way to express fascinating and complex mathematical concepts in delicate, infinite and touching forms: flowers, shells, rocks, … During the last year, my Mathemalchemy’s teammates and I have played with shapes, concepts and colors to “unfold” our imaginary realm. It was, and continues to be, aContinue reading “Origami in Mathemalchemy”
The Chipmunks Sorting Primes Vignette in a way expresses my path in mathematics which went from a blind acceptance of facts – here’s a formula, plug and chug, and it will work – to understanding that mathematics is a human endeavor, one where we can create the rules and see how it evolves.
I think about knots a lot these days, and I think about how complicated those knots are. My work involves knots, and knots within knots. The fanciful sea creatures I’m crocheting are a variant of knots called theta curves. Knots with a mathematical twist While knots, in the mathematical sense, are tangled loops, theta curvesContinue reading “Knots, trivial and otherwise”
In recent years, I have been increasingly absorbed by representing different symmetry structures in various fiber arts: knitting, embroidery, beadwork, and so forth. The underlying mathematics is fascinating and often interacts with each handcraft in subtle ways.
Two Ball Arches over Mathemalchemy When you first saw Mathemalchemy, what struck you the most? Let’s guess it’s the two arches showing balls (spheres) of different sizes. Although the spheres in both arches become arbitrarily small, the spheres in one arch extend indefinitely, crashing into the ocean and plummeting into its depths. The spheres in the otherContinue reading “Converging and Diverging Ball Arches”
When people ask me what number theory (my research area) is, we invariably end up talking about primes. When they ask me what I like about my field, I tell them about how I love to see patterns and make connections–something I like about all of mathematics–and about how number theory in particular has problemsContinue reading “Primes in the Garden”