Additional Pictures and Projects
Here you will find a few pictures and some information about my recreational projects.
Artistic Projects
Most of what I do has some kind of artistic component; it's more apparent in some projects than others.
Papercraft
Some fun during the holidays! Click through for descriptions, animated gifs and interactive spinners!
![[stellated icosahedron]](images/papercraft/sticosa/IMG_20151228_151734099.jpg)
![[klein quartic]](images/papercraft/kleinquart/IMG_20151230_101013953.jpg)
The 120-cell
During a discussion of the 120-cell I used the Sage Single-Cell server to make an interactive model of the relevant Hopf fibers, based on my earlier Hopf fibration project.
![[120-cell fibers]](images/120-cell-fibers.jpg)
Fibers showing the 12 cores for rings of dodecahedra making up the 120-cell. The view shown here is looking straight down the z-axis.
Constructing a spectral sequence
Here is a colored-pencil illustration to accompany the construction of a spectral sequence for a filtered chain complex. The longest part of this, by far, was drawing all those parallel lines.
![[spectral sequence
diagram]](teaching/sseq_diagram_thumb.jpg)
Visualizing seven-manifolds
In January 2012 I finished an animation Visualizing Seven-Manifolds based on Milnor's 1956 construction of exotic 7-spheres. This 9-minute video is my longest to date!
![[slice of S^7]](images/S7-slice.png)
Hopf animation
My first major video project was an animation of the Hopf fibration, inspired by Ken Shoemake's famous picture. Check out the result on my Hopf video page!
![[fibers in Hopf fibration]](images/hopf2010/sage10-small.png)
A raytraced visualization of the Hopf fibration, computed using Sage and Tachyon.
![[fibers in Hopf fibration 2]](images/hopf2010/two_tmp_143-small.png)
A second version, showing the base 2-sphere and the special fibers over the North and South poles.
Aperiodic tilings
An aperiodic tiling fills the plane without ever repeating!
Pythagorean triples
Learn how to derive a formula for Pythagorean triples. It's based on finding rational points on the circle!
Even more
Here is a list of other projects, and other things I think are neat.
- My incomplete, anecdotal notes about applying for jobs.
- Some time I'd like to learn how to use trackbacks. Then I could send links to the arXiv.
- I use MathJax to display LaTeX on my webpage: \[ \int_{- \infty}^\infty e^{-x^2} \, dx = \sqrt{\pi} \]
- I use TeX4ht to generate pdf and html versions of my CV from the same source file.
- I have implemented a JavaScript feature which you can use to send me an RSA-encrypted message using my public key, in case that was something you needed to do. In the HTML source there, you can also read how to set up a function like this for yourself, using your own public key.
- A QR code:
Where does it point? Well, that's for you to figure out :) Here is one link which will let you generate your own.
- I've started to be a regular user of TikZ, and now I have my own TikZ demo page.
- My Erdős number is at most 4. I've collaborated with Brian Boe, Nick Gurski, and Dan Nakano, all of whom have Erdős number at most 3
The content of