Noble Faceted Snub Cube
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A polyhdron characterized by identical (but non-regular) intersecting faces and identical vertices.
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- 0 / 5
- Polubienia
- 3
- Pobrania
- 20
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- 0
- Wyświetlenia
- 66
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Informacje o modelu
- Źródło
- Printables
- Kategoria
- Math
- Licencja
- Creative Commons — Attribution
I came across this polyhedron on the Numberphile video here (at about 14 min):
It was first created by Robert Webb. Here are some facts about the solid:
It is created by connecting the vertices of a Snub Cube in a different way (refaceting), using a self-intersecting pentagon (a sort of 'fish' shape)
The faces themselves intersect each other, which creates additional interior edges and corners. These edges divide each pentagonal face exposing 3 polygons
There are 24 pentagon faces, exposing 24 irregular pentagons and 48 triangles, 24 each of two different triangular shapes
It has the rotational symmetry of a cube/octohedron, but not mirror symmetry, being derived from a 'snub' cube
It has chirality, or 'handedness', meaning it differes from its mirror image (print them both!)
Regarding this model:
I made this largely to challenge myself in Solidworks and I like the appearance.
I printed it so the intesecting edges that make an 'X' rested on the build plate, and this works well. Since its such a small surface, I added a brim after a failed attempt that detached from the bed after about 30% complete. I may have succeeded if I washed the build plate and tried again. YMMV
When oriented as described above, the overhangs are just under 60 degrees, which printed perfectly without supports on my Core One printer. For reference, I used the .15 mm 'balanced' profile with 12% gyroid infill.
The included model has 40 mm edges and took about 4 hours to print.
It's 91.4 mm in each direction between the 'cube' faces. Rescale as you see fit
I would love to color the faces as shown in the video, but I don't have a multi-color printer yet. I should have the INDX upgrade soon and I'll reprint when I have it