Sagrada Familia Schools Roof
Begin with a basic sine wave and incrementally alter lists of points to alter positions and profiles utilizing replication guides in Design Script (ver. 3.1)
p = Point.ByCoordinates (Math.DegreesToRadians((0..(180*8)..10)),(-10..10..#9)<1>,(Math.Sin((-90..(180*8)..10)+(0..90..10)<1>)*(-1.25..1.25..#10))<1>);
GeometryColor.ByGeometryColor(NurbsSurface.ByPoints(Point.ByCoordinates (p.X,(p.Z<-0.6 ? p.Y+(-p.Y*(p.Z)*0.08) : p.Y),p.Z)).Thicken(0.25).Translate(0,0,1.5),Color.ByARGB(255,255,250,200));While the code required to create this geometry can be packed into a couple of lines of Design, below is a stepwise elaboration of the process.
// Sine Wave
r = 0..360;
x = Math.DegreesToRadians(r);
y = 0;
z = Math.Sin(r);
p = Point.ByCoordinates (x,y,z);
// Decrease point count
r = 0..360..10;
// Increase Frequency
r = (0..360..10) * 4;
// Increase Amplitude
z = Math.Sin(r) * 1.5;
// A range of values along the Y-axis
y = -10..10..#9;
// Repeat waves along the Y-axis
p = Point.ByCoordinates (x,y<1>,z);
// Nurbs Surface
s = NurbsSurface.ByPoints(p);
// Increase Z incrementally
z = Math.Sin(r +(0..90..#9)<1>) * 1.5;
// Apply to wave profiles
p = Point.ByCoordinates (x,y<1>,z<1>);
// Incrementally minimizing amplitude of waves towards the middle
a = List.Flatten([1.5..0..#4,0,0..1.5..#4],-1);
z = Math.Sin(r +(0..90..#9)<1>) * a;
// Trough Protrusion
tp = p.Z < -1.4 ? p.Y+(-p.Y*(p.Z)*0.1) : p.Y;
pp = Point.ByCoordinates(p.X,tp,p.Z);
// Sine Wave
r = (0..360..10) * 4;
x = Math.DegreesToRadians(r);
y = -10..10..#9;
a = List.Flatten([1.5..0..#4,0,0..1.5..#4],-1);
z = Math.Sin(r +(0..90..#9)<1>) * a;
p = Point.ByCoordinates (x,y<1>,z<1>);
// Trough Protrusion
tp = p.Z<-1.4 ? p.Y+(-p.Y*(p.Z)*0.1) : p.Y;
pp = Point.ByCoordinates(p.X,tp,p.Z);
// Nurbs Surface
s = NurbsSurface.ByPoints(pp).Thicken(0.25);Last updated