[Steuard]

This is really cool! It's a nice explanation of the topic (including some very effective diagrams), and the resulting visualizations are great.

[Side note: In discussing the distortion of the event horizon, the author says "I suspect the punctured sphere → disk map is conformal/biholomorphic". There is a conformal map between the punctured sphere and the plane[0], but there is no conformal bijective map between the open unit disk and the full plane.[1] Thus, the punctured sphere and the unit disk cannot be conformally equivalent.]

[0] http://en.wikipedia.org/wiki/Stereographic_projection [1] http://en.wikipedia.org/wiki/Unit_disk#The_open_unit_disk.2C...