Hi there
I'd like to know if it's possible to have the menger sponge with a low number of "holes" but sharp edges?
In my image there's maxIterM = 3 because I don't want more holes in it.
The problem is, that all "boxes" look like balls rather.
Threshold, number of rays etc. is fine. I think I need to work with abs() instead of sqrt() here, but some experiments I made failed...
The following code is from a thread in this forum from some years ago.
I only changed the syntax to fit java.
void DE(V3D w0) {
double x = w0.getX();
double y = w0.getY();
double z = w0.getZ();
double r2 = x * x + y * y + z * z;
double CX = 1.0;
double CY = 1.0;
double CZ = 1.0;
int iter = 0;
while(iter < maxIterM && r2 < bailout){
x = Math.abs(x);
y = Math.abs(y);
z = Math.abs(z);
if(x - y < 0){
double x1 = y;
y = x;
x = x1;
}
if(x - z < 0){
double x1 = z;
z = x;
x = x1;
}
if(y - z < 0){
double y1 = z;
z = y;
y = y1;
}
x = scale * x - CX * (scale - 1);
y = scale * y - CY * (scale - 1);
z = scale * z;
if(z > 0.5 * CZ * (scale - 1)){
z -= CZ * (scale - 1);
}
r2 = x * x + y * y + z * z;
iter++;
}
dist = (Math.sqrt(x * x + y * y + z * z) - 2) * Math.pow(scale, -iter * refine);
}I think this relates to the sierpinsky triangle as well. I don't have sharp edges there either for a low iteration count.
But I want them so bad
Thanks in advance for any help
void DE(V3D p) {
double x = p.x;
double y = p.y;
double z = p.z;
double r = x * x + y * y + z * z;
int i = 0;
for(; i < iterSierp && r < maxRadius ; i++){
if(x + y < 0){
double x1 = -y;
y = -x;
x = x1;
}
if(x + z < 0){
double x1 = -z;
z = -x;
x = x1;
}
if(y + z < 0){
double y1 = -z;
z = -y;
y = y1;
}
x = scale * x - (scale - 1);
y = scale * y - (scale - 1);
z = scale * z - (scale - 1);
r = x * x + y * y + z * z;
}
dist = (Math.sqrt(r) - 2) * Math.pow(scale, -i);
}
June 07, 2007, 04:17:23 PM
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