Further to David's suggestion, here are a few favourite fractal movies. Best viewed in darkened room, fullscreen, resolution at least 720p; screen illumination at max if using anaglyph specs. YouTube technology is pretty stretched displaying this material; it's more satisfactory to download (via add-on readily available on web) and view locally instead. Jeremie Brunet "Weird Planet II" http://www.youtube.com/watch?v=APsLfpfDGOI (no anaglyph version) d0lphchrist "Mandelbox x OctahedronIFS" http://www.youtube.com/watch?v=QkLvO5fMUAI http://www.youtube.com/watch?v=OOEPYuHBDaU [anaglyph] San Base "Our World is a Crazy Fractal" http://www.youtube.com/watch?v=Nn9_JGPA9j0 http://www.youtube.com/watch?v=h3SxuJE6Ie8 [anaglyph] teamfresh (fractal) 3D Mandelbrot zoom (HD) - Split Point II (also I, III) http://www.youtube.com/watch?v=mMLOBkJltIw Krzysztof Marczak Trip to center of hybrid fractal http://www.youtube.com/watch?v=E91yxk_pT_A http://www.youtube.com/watch?v=d94FagJyaT0 [anaglyph] These authors have plenty of clips uploaded, and would probably welcome the opportunity to collaborate on tailor-made material. Also YouTube suggests several others, some more recent since I last explored this scene. [Just checking that the URLs are current proved dangerously enticing ...] Fred Lunnon On 5/4/14, David Makin <makinmagic@tiscali.co.uk> wrote:
I assume you mean virtual models not physical ones ? In which case I would suggest 3D(+) fractals - just search on YouTube for "Mandelbulb" and "Mandelbox" for examples.
For appropriate software see Mandelbulber and Mandelbulb3D among others here:
http://www.fractalforums.com/index.php?action=downloads;cat=1 http://www.mandelbulber.com/
The above software will allow creation/animation of objects such as the Menger Sponge and Mandelbulb. Similar software will render them in realtime using the GPU instead of CPU with appropriate hardware (sorry haven't really tried these myself).
For other 3D objects that can be modelled - Kleinian Groups (Indra's Pearls), the Kleinian Bottle,, Knots or any "special" topological object that would look interesting in 3D ;)
For inspiration see:
http://www.josleys.com/ http://www.shadertoy.com/
Unfortunately the latter is beta and some of the shader demos are unstable (depending on your hardware and choice of browser).
bye Dave
On 1 May 2014, at 14:42, Guy Haworth wrote:
Here at the University of Reading, we have an 'immersion room' giving the full 3D-experience in which one can 'walk around' 3D-models.
We also have a portable 'cube' version of the same which - with much less expensive technology these days - cost about an eighth of what the fixed system cost.
I was wondering what 3D mathematical models could be built, and shown and maybe animated [how?] using these 3D-room facilities.
First choices should favour ease of creating the models - and be models which would be useful as learning resources for final-school-exam students.
We have a work-experience 16-year-old who is into 3D-modelling, and going forward to Maths/CS, visiting us to do some modelling work in the summer.
Ideas welcome: thank you.
Guy Haworth, UoR
"Three more men: maxMate times ten!"
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