# 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!

### 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.

### 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.

### 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!

### 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!

### 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 Ti
*k*Z, and now I have my own Ti*k*Z 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