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MathMod — Math Face
#implicit #mathematics #surace #mathmod
Published: 2015-08-13 17:52:25 +0000 UTC; Views: 257; Favourites: 2; Downloads: 0
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Comments: 9
This is awesome and I wish you and your projects good success here on DA too!
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This is a mathematical implicit surface visualized by MathMod and defined by:
-(x^2+y^2+z^2)+cos(5*x)*cos(5*y)*cos(5*z)+(sin(5*x)*sin(5*y)*sin(5*z))+0.2
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Cool - but the bumpy surface is a little extra - right?
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Hi, yes the bumpy surface and colors are defined as (Worley/Perlin) Noise functions, something like what you can use in PovRay scripts. These features were added lately to MathMod. The full script for the image is :
{
"Iso3D": {
"Name": ["Face"],
"Component": ["Face"],
"Fxyz": ["-(x^2+y^2+z^2)+cos(5*x)*cos(5*y)*cos(5*z)+(sin(5*x)*sin(5*y)*sin(5*z))+0.2-NoiseW(13*x,13*y,13*z,1,2,0)/6"],
"Xmax": ["1"],
"Xmin": ["-1"],
"Ymax": ["1"],
"Ymin": ["-1"],
"Zmax": ["1"],
"Zmin": ["-1"]
},
"Texture": {
"Colors": [
"R=.82",
"G=2*abs(cos((x*x+y*y+z*z)/2)*sin((x*x+y*y+z*z)/2))",
"B=2*abs(cos((x*x+y*y+z*z)/2)*cos((x*x+y*y+z*z)/2)*sin((x*x+y*y+z*z)/2))",
"T=1"
],
"Name": "WorleyNoise",
"Noise": "NoiseW(15*x,15*y,15*z,1,2,0)"
}
}
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Downloaded MathMod 3.1 right away and am looking forward to experiment with the new texturing features!
... and try to find out if I can get a Chen Gackstatter surface out of it
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Just to mention that there is a video www.youtube.com/watch?v=EQQJYx… that show how to experiment easily new textures without having to regenerate the mesh each time. It's useful when playing with high resolution or complex implicit equations. Hope this help!
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Awesome - a whole MathMod Video Channel!
Thanks for pointing me there!
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