Brief Info

Dear Reader,

My name is Guido Wuyts AKA 'wugi' on the net. I'm a retired (I'm afraid so;-) railway engineer who since my youth has been fascinated by the (im-)possibility of rendering the "true 4D" geometrical nature of complex valued functions w=f(z).

All, or almost, traditional methods ignore the possibility of a full 4D rendering, and abide by 2D and/or 3D visualisation methods.

Yet since my highschool and college years I've discovered and been exploring a simple but "true" 4D visualisation method, ie, one where the complex function surface is rendered entirely, with all its 4D coordinates shown geometrically in a single picture. As an aside I've also worked on a "true" 3D method. 

The tools I've worked with in the past comprise mm-paper and an early calculator, various forms of Basic, until I discovered the Graphing Calculator 4.0 which is a bit outdated by now, yet the only tool I know of that comes with full 4D features built in! Recently I've been using Geogebra and Desmos/Desmos3D, preferring largely the latter for its visuals and user-friendliness.

This math contest is an invitation to develop, within one of the mathematical tools available, a stand-alone app, propose a demo of it, write a Wikipedia page and a scientific math paper about this method and that app, to make them known by and available to the complex function studying public.

The contest will reward the contender who submits the best app and accessories in that respect. Oh, BTW, the contest prize is  10,000 Euro.

Are you a student at a European Union university or college, or at Brown University (for further conditions on age, faculties etc. see under Contest-Data), then this contest is open to you!