PI3MFT

Printable Iterative 3D Meshed Fractal Toolbox

Please first chech the header of main_PI3MFT.m to view the list off possible shapes and options.

Then choose a pattern (pattern_id number) and one shape option.

Example #1

[V,T] = main_PI3MFT(1, 2, true);

gives you the Menger cube at iteration #2, displays it, and stores vertex and triangle sets in V and T output data.

Example #2

[V,T] = main_PI3MFT(2, 3, true);

gives you the cube base koch snowflake at iteration #3, displays it, and stores vertex and triangle sets in V and T output data.

Example #3

[V,T] = main_PI3MFT(16, 3, true); % with torus_shape = true;

gives you the Sierpinki torus at iteration #3, displays it, and stores vertex and triangle sets in V and T output data.

Once you have vertex V and triangle T data output sets, you will need a writer to a 3D printable format (.ply ore .stl writers for instance), which are not included in this toolbox. Beware of the format you use to register your file; some formats (e.g .stl) may mess up the triangulation and waste the 3D printable property.

Normals may not be all coherently oriented; to reorient all them coherently just use reorient_all_faces_coherently function from my mesh processing toolbox or my mesh generation toolbox.

Please don't forget to rate if this code helped and you enjoyed it ! ;-)

3D printed examples created with this code

Cube base Koch snowflake iteration #2

Sierpinski tetrahedron iteration #3

Sierpinski octahedron iteration #3