HOME | DD
MathMod — Sleeping Bugs
#3d #mathmod #mathematics
Published: 2015-10-11 23:45:04 +0000 UTC; Views: 242; Favourites: 0; Downloads: 0
Redirect to original
Description
Sleeping Bugs (parametric surface)This model was derived from the "Pseudo Hopf Tori" mathematical model (see my previous post)
MathMod script:
{
"Param3D": {
"Description ": ["Sleeping bugs by Abderrahman Taha 11/10/2015"],
"Name": ["Sleeping bugs"],
"Component": ["Sleepingbugs"],
"Const": ["cu=0.0000000001",
"cv=0.0000000001",
"N=3"],
"Funct": ["Tickness= -.5*(abs(sin(15*u)*cos(15*v)))^7 + .35*((sin(2*N*u)))",
"Fx=-cos(u+v)/(sqrt(2.)+cos(v-u))",
"Fy=sin(v-u)/(sqrt(2)+cos(v-u))",
"Fz=sin(u+v)/(sqrt(2.)+cos(v-u))",
"DFxu= ((Fx(u,v,t)-Fx(u+cu,v,t))/cu)",
"DFxv= ((Fx(u,v,t)-Fx(u,v+cv,t))/cv)",
"DFyu= ((Fy(u,v,t)-Fy(u+cu,v,t))/cu)",
"DFyv= ((Fy(u,v,t)-Fy(u,v+cv,t))/cv)",
"DFzu= ((Fz(u,v,t)-Fz(u+cu,v,t))/cu)",
"DFzv= ((Fz(u,v,t)-Fz(u,v+cv,t))/cv)",
"n1= (DFyu(u,v,t)*DFzv(u,v,t)-DFzu(u,v,t)*DFyv(u,v,t))",
"n2= (DFzu(u,v,t)*DFxv(u,v,t)-DFxu(u,v,t)*DFzv(u,v,t))",
"n3= (DFxu(u,v,t)*DFyv(u,v,t)-DFyu(u,v,t)*DFxv(u,v,t))",
"R=sqrt(n1(u,v,t)^2+n2(u,v,t)^2+n3(u,v,t)^2)",
"Gx=Fx(u,v,t)+Tickness(u,v,t)*n1(u,v,t)/R(u,v,t)",
"Gy=Fy(u,v,t)+Tickness(u,v,t)*n2(u,v,t)/R(u,v,t)",
"Gz=Fz(u,v,t)+Tickness(u,v,t)*n3(u,v,t)/R(u,v,t)"],
"Fx": ["Gx(u,v,t)"],
"Fy": ["Gy(u,v,t)"],
"Fz": ["Gz(u,v,t)"],
"Umax": ["pi"],
"Umin": ["0"],
"Vmax": ["2*pi"],
"Vmin": ["0"]
},
"Texture": {
"Colors": [
"R=.9",
"G=0.81*abs(cos((x*x+y*y+z*z)/2)*sin((x*x+y*y+z*z)/2))+.3",
"B=0.8601*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(2*x,2*y,2*z,4,2,0)+NoiseP(2*x,2*y,2*z,4,12,0.1)"
}
}
