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Sierpiński Cube-Octahedron Compound Fractal - Level 1 — zdjęcie 1
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Sierpiński Cube-Octahedron Compound Fractal - Level 1

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A level 1 Sierpiński octahedron fractal made using a cube-octahedron compound as its base shape.

Ocena
5 / 5
Polubienia
14
Pobrania
52
Wydruki
1
Wyświetlenia
246
Oceny
1

Aktualizacja u źródła:

Informacje o modelu

Źródło
Printables
Kategoria
Math
Licencja
Creative Commons — Attribution — Noncommercial — Share Alike

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://www.printables.com/model/1166563-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 1 of the Sierpiński Cube-Octahedron Compound series. If you'd like to see more, you can find Level 2 here: https://www.printables.com/model/1172404-sierpinski-cube-octahedron-compound-level-2

Print Settings:

Supports: None
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. To capture the full fractal design, print both halves and glue them together. Alternatively, you can print just one half as a standalone pyramid.

Update - I just added a print profile for a single pyramid with a nice hilbert curve pattern on the bottom. I think it looks nice when printed in printed in Tri-Color Silk PLA with ironing on the top surfaces. The fancy bottom pattern adds a bit of time, but in my opinion, it's worth the wait. You can see the pattern in the photos above.

Feel free to leave a comment or reach out if you have any questions.

License Information:

This model is licensed under Creative Commons Attribution-NonCommercial-ShareAlike (CC BY-NC-SA). You may share, copy, and redistribute the file for non-commercial purposes with proper attribution. Modifications must remain under the same license. Selling this model or modified versions, either digitally or as physical prints, is strictly prohibited.

*Selling physical prints of my designs is only permitted if you are an active member of my Authorized Seller tier on Patreon, Printables, or MakerWorld.* To learn more, visit https://www.patreon.com/c/endlessdesignlab

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