Barth decic again:

Now cut by the plane at inifinity.

Now cut by the plane at inifinity.

2016-04-26

2 Photos - View album

- Great! I saw and enjoyed your Barth decic in my email; I've just been a bit too busy to get around to it. I'll do an issue of
*Visual Insight*on the Barth decic, featuring your images of it.Apr 26, 2016 - :o)

I realized that the mapping for the second picture is equivalent to a normalisation from 4-homogeneous-space onto the unit 3-sphere then a stereographic projection to the xyz space. Something to do with elliptic space?

The inverse of that mapping becomes:

(x, y, z) :-> (2x, 2y, 2z, 1-r²)/r²

where:

r² = x² + y² + z² + 1

This way I don't have to to do any simplification to the formula in order to remove the denominators (which would give infinities in the computation).Apr 27, 2016 - The inverse of that mapping is actually:

(x, y, z) :-> (2x, 2y, 2z, 1-r²)/(1+r²)

where:

r² = x² + y² + z²Apr 29, 2016

Related Collections