![]() given a point (x,y,z) in 3D space you can determine if it is inside or outside his 3D fractal this is in contrast to how 3D fractals are normally described, in terms of distance estimation functions (à la John C. ![]() Thomas Ludwig: I was lucky to be in the right place (active on Fractal Forums) at the right time, but as they say, fortune favors the prepared: I had been writing an experimental rendering engine at the time, with global illumination by Metropolis light transport (specifically the super elegant variant by Csaba Kelemen).ĭaniel White’s description basically gives you an inside/outside test at a point, i.e. MM: Both Daniel and Paul have praised you for your contributions to the discovery of the 3D Mandelbulb! In your own words, can you recall exactly what your role was and how that influenced the process? Paul Nylander I’d run into before in my internet travels he maintains a very informative and interesting website full of math and physics stuff. Some interesting discussion of mathematical limits (particularly Liouville’s theorem) followed, which made me rather pessimistic about finding algebraic 3D fractals that are detailed everywhere, without the smooth “whipped cream” effect that is well-known from the quaternionic Julia sets. Thomas Ludwig: Daniel White (twinbee) first posted on Fractal Forums (where I was an active user since its inception in 2006) with a paper sketch of what kind of 3D Mandelbrot he was hoping to find. MM: How did you meet Daniel White and Paul Nylander? ![]() I learned a lot during our many chats leading up to this interview and have been pleasantly surprised at the detail Thomas has provided to my questions. SIGGRAPH is the world’s largest, most influential annual conference and exhibition in computer graphics and interactive techniques: Five days of research results, demos, educational sessions, art, screenings, and hands-on interactivity featuring the community’s latest technical achievements, and three days of commercial exhibits displaying the industry’s current hardware, software, and services. He will be speaking at SIGGRAPH in Vancouver, Canada this year. He was born in Germany, lived in Indonesia from age 5-8 and in South Africa until age 19, before starting a nomadic life roughly centered around New Zealand (where his family now lives) and Europe. Thomas Ludwig (aka lyc on deviantart and lycium everywhere else) is a very friendly, talented, well traveled and busy fellow.
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