As you already know, I’m just in the middle of getting a thesis done. This means quite a lot of hand-written papers, full of definitions and on top of it all a lot of notational problems. I have quite a few similarly named spaces, with its corresponding norms… It is a mess.
When I had already proved my “first” theorem (in the thesis context, I mean… I have a paper soon to be published :), I started LaTeXing it.
I feel like I contributed something. I rewrote Wikipedia’s Siegel disk page, adding references and images. It is now quite dense… Ill have to re-read it to simplify it several times. Or someone else… Wikipedia’s wonders.
Snapshot! (Via Paparazzi!)
As I already did with Douady Rabbits, here is another dynamical plane, this time corresponding to a Siegel disk in an entire transcendental family in a parameter corresponding to a polynomial-like region.
Siegel disk in an ETF, available below as wallpaper
Siegel disk for desktop background 1280x800
Siegel disk for desktop background 1024x768
You can also buy a poster version here.
If you liked it, or have whatever else to say please leave a comment, digg, stumble or whatever you feel like doing.
Screenshots!
Back when I was in school, I had a really nice game in my 80286 computer, under Windows 3.1. Yes, it was 15 years ago… The game was Hyperoid, by Edward Hutchins. When I got my first Pentium with Windows 95, I longed that game… and the 3.1. version didn’t work completely OK in it. Anyway I played… then found Hyperoid95. I even recompiled it, to add firepower (the author of this version cut the fire speed).
Image from Flickr
Arrow’s impossibility theorem and related results
Background: Let K={A,B,C…} be a finite set of alternatives (maybe political parties), with more than 3 items. Let’s call transitive preference a way to sort all these elements, with draws possible. It’s just a funny name for a vote, in the more general sense as we can split our vote (Let A have 0.5, B 0.25 and C 0.25 of our vote).
This evening I was bored at home, and decided to have a look at my old Lisp raytracer… a project that just went idle a year ago. I picked up another programming project I had idling for a long time (an emacs lisp project, to interact with my console-based fractal drawers). I had a coding breakthrough that time, and managed to advance quite a bit in a little time, so today I tried again.