From "ZERO" - The Biography of a Dangerous Idea by Charles Seife:(adsbygoogle = window.adsbygoogle || []).push({});

"Riemann imagined a translucent ball sitting atop the complex plane, with the south pole of the ball touching zero. If there were a tiny light at the north pole of the ball, any figures that are marked on the ball would cast shadows on the plane below. The shadow of the equator would be a circle around the origin. Every point on the ball has a shadow on the complex plane. Every circle on the plane is the shadow of a circle on the ball, and a circle on the ball corresponds to a circle on the plane .... with one exception. a circle that goes through the north pole of the ball, the shadow is a line. The north pole is like the point at infinity."

http://www.nti.co.jp/~kobakan/contents/zero.html#chap5 [Broken]

Edit:

You can find Pdf file of mine on this sybject here:

http://www.geocities.com/complementarytheory/RiemannsBall.pdf

Organic

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Riemann's Translucent ball

**Physics Forums | Science Articles, Homework Help, Discussion**