Here is a test done during spring break 2013 with importing graphs of functions to Google earth.
You see the function f(x,y) = 1/|zeta(x+i y)| which has the poles at the zeros of the zeta function. The graph is
placed in front of the Science Center. Click on a thumbnail to see 2000 x 1200 pictures.
The color at a point (x,y) is the argument of zeta(z) and the chosen
rectangle is -8≤ Re(z)≤ 8 and -90≤ Im(z) ≤ 90 or
in which there are 50 roots of the zeta function on the critical line Im(z)=1/2. A second shot took
the parameters -8≤ Re(z)≤ 8 and -150≤ Im(z) ≤ 150.
The basic Mathematica command which plots the
graph is
The video shows some flight simulator shots with a slalom around the roots of the zeta function.
(Higher quality Quicktime or
low resolution Webm,Ogg)
Music "Fading like a flower" by Roxette 1991.
And here is an other take with 106 nontrivial roots of the zeta function on the critical line re(z)=1/2.
The rectangle is [-8,8] x [-150.1,150.1] in the complex plane. It contains the following 106 zeros
(where each one appears plus or minus 1:
14.1347, 21.022, 25.0109, 30.4249, 32.9351, 37.5862, 40.9187,
43.3271, 48.0052, 49.7738, 52.9703, 56.4462, 59.347, 60.8318, 65.1125,
67.0798, 69.5464, 72.0672, 75.7047, 77.1448, 79.3374, 82.9104, 84.7355,
87.4253, 88.8091, 92.4919, 94.6513, 95.8706, 98.8312, 101.318, 103.726,
105.447, 107.169, 111.03, 111.875, 114.32, 116.227, 118.791, 121.37,
122.947, 124.257, 127.517, 129.579, 131.088, 133.498, 134.757, 138.116,
139.736, 141.124, 143.112, 146.001, 147.423, 150.054.
Youtube upload:
2012: Hommage to Christo
The pool was implemented in the science center for a free problem in a review lecture:
After some attempts to use Google sketchup,
I had in December 2006 a few free hours to try it out on a MacBook. I chose the
Widner Library as a first object.
Google 3DWare house.
