You need at least Java 1.4.0 and at least a 1GHz processor. This is experimental and some menu items may not work. You can "spin" the objects by clicking (left mouse) and dragging them. A single left mouse click without dragging usually stops motion.
The series SUM(1/n^s) for n=1,2,3,...infinity converges in the half plane for each s=x+iy where x=Re(s) > 1 and is known as Riemann Zeta Function
Riemann postulated that all the non-trivial zeroes of its analytic continuation only occur on the line x=1/2. So far no one has found a way to prove or disprove this statement. The image above shows some of the 'trivial' zeroes on the left along y=0, while you can make out the non-trivial zeroes running vertically along the line x=1/2 and a single pole at x=1 (centre of screen).
The colouring algorithm for this image was based entirely on that found in Zoltan Kovács' "Real-Time Zooming Math Engine (rtzme)".
My other web pages may be of interest :-
(These pages contain similar words in Hungarian and Afro-Asiatic, Altaic, Austro-Asiatic, Basque, Caucasian, Dravidian, Etruscan, Indo-European, Sino-Tibetan, Sumerian etc., and NO claim of a relationship is made between any of them.)
Majláth Family
History
(site is no longer available)
(You will find here the meaning of the family name and its origin; a brief account of the history and geography of the kingdom of Hungary; six coats of arms of three families: Maylád de Szunyogszeg, Majlát de Zéch and Mailáth de Székhely. )
To the best of my knowledge I am NOT related to any families contained herein.
Copyright © 2000-2010
Last updated 20 February 2010