4 Dini Surfaces by Luc2
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Description
This is a Dini surface in fact 4 of it. This surface is a pseudosherical surface it's also call a One-soliton surface that corresponds to the following solution of the Sine-Gordon equation;
q(u,v)=4*arctan(exp(cosec(aa*pi)*u-cotan(aa*pi)*v))
For this image I superposed 4 Dini surfaces with variation of the value of "aa" in the equation, I tried to match there positions as much as possible even if it's no perfect. I use a light blue crystal shader with a little bit of gold reflection, for the sky I used my favourite Bryce sky that I saved as HDRI map and used as light source in Carrara.
Please check the image at full resolution.
Your comments are always welcome...
Comments (5)
njb2000
More food for thought Thanks for the equation I will have to give it a try I like the Idea of using the Bryce sky as hdri Lovely shaders and setup! Thanks once again!
A_Sunbeam
There is infinite beauty in mathematics
npauling
A wonderful creation with superb lighting and colouring. Sounds very complicated to do.
erlandpil
soo great done erland
neoexcello
Well, it's fascinating, and it makes me wish I knew what you were talking about. I had math into the 3rd year of college, so I can read the equation, but that's about all. I think it might be a design for a washing machine agitator?