Pixelated sphere DE?

[Patryk Kizny]

Totally Cool!

[DarkBeam]

You can just simulate low resolution coordinates:

Code:

double Sphere(double x,double y,double z){
x*=45;
y*=45;
z*=45;
x=int(x);
y=int(y);
z=int(z);
x/=45;//just for clarification
y/=45;
z/=45;
const double a=sqrt(x*x+y*y+z*z)-1;
return (a);
}

I finally was able to remove the discontinuity!
I used a smooth function.
Instead of int I split x in xi= int(x) and the fractional part xf = x-xi. Then I did xf = xf^5*p where p ensures that xf(0.5)-xf(-0.5)=1. Any similar treatment can work if you respect the last condition.
Then I sum back xf and xi and use same method as Aexion getting a smooth DE! Formula m3f is downloadable in my zip.

[DarkBeam]

pretty pic

[Aexion]

Looks very good!!  Congratulations!


Now weave your mathematical magics with Hexes  
I have attached is modified a Fragmentarium example (Mandelbox), just zoom.
Two parameters (in the Mandelbox tab): Shape, that going from Triangles, Hexagons and some sort of futuristic bathroom tiles,
and Segments, that is, the number of tile segments..

Have fun!

  

[Crist-JRoger]

Aexion, minekraft comes to fragmentarium  Thank you!

[Crist-JRoger]

PseudoKleinian-Voxel. Many thanks Knighty for these scripts  

[Crist-JRoger]

Menger into Voxel 

[Crist-JRoger]

Is it possible to create several basic shapes and use them both randomly?