As Stephen Wolfram wrote in his lates blog post:
A basic interactive system for generating logos is a tiny amount of Mathematica code. But getting everything exactly right turns out to be quite tricky, and to involve some quite sophisticated mathematics. It’s easy to apply symmetry operations to regions representing font characters. The issue is rendering them. The most obvious thing is to layer them in the order they’re generated. But if the regions overlap, then doing that can break symmetry. And the only way to guarantee to preserve symmetry is to do some intricate computational geometry, breaking up the regions just right.
- Does someone have an idea what he meant? Most of you probably know the MomathExplorer from Chris Carlson. Why did that normally work out on a desktop system, but not on a desktop system in Momath museum?
- How to generate layers anyway in Mathematica for graphical objects?
- How to prevent regions that overlap, to break symmetry?
- How to break up regions just right?
I can't really imagine what was going wrong and to be honest this sounds a little bit confusing.
