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Sierpinski sphere / "Spherpinski"

version 3.5 (153 KB) by Nicolas Douillet
Function to compute, display and save the Sierpinski sphere, object I named the "Spherpinski", at any iteration / depth level.


Updated 03 Sep 2020

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Please first check the examples tab (doc) here on the right for a complete description.

Once downloaded, typewrite 'doc Spherpinski' or 'help Spherpinski' in Matlab console for support.

Cite As

Nicolas Douillet (2020). Sierpinski sphere / "Spherpinski" (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (5)

rizwan azam

Nicolas Douillet

Ok, I just download it and ran a series of tests with a variety of input parameters. Everything look fine to me. I get in return the point set V, the triangulation T, and the display when I whish. Could you please check again your code, and especially also you have not modified the files ? Could you download and try again ? Thank you.

Nicolas Douillet

Hi 风小子 zeng, Thabk you for this report. Could you copy and paste your piece of code in comments -or send it to me by pm- for me to reproduce and solve this error ? Thank you. Best. Nicolas

风小子 zeng

{Error using ./
Matrix dimensions must agree.

Error in Spherpinski (line 167)
V1 = V1./D1;

Nicolas Douillet

A set of functions to compute a Sierpinski sphere (fractal 3D surface) with some options (nb_iterations, option_fill, option_display). The resulting sets of vertices and triangles are also available for further computations.

The algorithm principle is based on the projection of the Sierpinski triangular faces of a regular octahedron on the surface of the unitary sphere.

NB : function sample_triangle is included, but may also be found independently here :

You may also have a look at some additional views here :

Tip : from nb_iterations = 4, and if using write_ply.m you struggle with displaying the set out of Matlab [...] try to replace in the file header "uchar ushort" by "uint8 uint32" this may help ;-)



Title (bis)


Title + Summary


Improved typo, help, doc, description, +.mlx


cover img new test


Improved remove duplicated vertices function, cover img, updated description


Remove duplicated vertices and triangles, + Sierpinski ball see also link in doc, free description from comments, comments + tip in comment section.


All in two files only, updated description


+ fix rotate_3D Y rotation matrix bug, add nb triangles warning, improved input parsing, updated help, doc, description, + Flikr links



MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux