Sierpiński Cube-Octahedron Compound Fractal - Level 3

While learning about geometry, I came across a Wikipedia article on duality, which used a cube-octahedron compound as an example. Intrigued by the shape, I modeled it in CAD ( https://cults3d.sitegames.net/en/3d-model/art/compound-of-cube-and-octahedron ) and realized it could be used as the base for a Sierpiński octahedron. Instead of a single octahedron, this structure follows the same recursive method but is built from the cube-octahedron compound.

This is Level 3 of the Sierpiński Cube-Octahedron Compound series. If you'd like to see more, you can find Level 2 here: https://cults3d.sitegames.net/en/3d-model/art/sierpinski-cube-octahedron-compound-level-2

Have fun! 🥳

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This model is licensed under Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND). You may share, copy, and redistribute this file for non-commercial purposes with proper attribution. However, you may not modify or create derivative works from this model. Selling this model, either digitally or as physical prints, is strictly prohibited.

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Print Settings:

s: Manually Painted Snug s (Use Pre-Painted 3MF – Painting Guide Coming Soon)
Infill: Gyroid, 10%
Brim: You'll want to use a brim to avoid adhesion issues.
Ironing: Recommended on the top surfaces for a smooth finish but not required.

I’ve included a 3MF file for printing two halves as pyramids that need to be combined. To capture the full fractal design, print both halves and glue them together.

Alternatively, you can print just one half as a standalone pyramid—it offers a unique perspective on its own and looks great with tri-color filament and a fancy bottom surface pattern like Hilbert Curve or Archimedean Chords. (A separate 3MF for the single pyramid is also included, along with the STL.)

A Quick Note on s - I put a lot of effort into minimizing s, testing multiple approaches—including organic tree s—but after several failed attempts, I found that snug s provided the best balance of stability and clean print quality.

Most overhangs print fine without , so I’ve manually painted s only where absolutely necessary rather than relying on auto-generated ones. The included 3MF file reflects this optimized setup.

Feel free to leave a comment or reach out in a DM if you have any questions—I’m here to help!