Interesting Shapes

The first several shapes are related as everything is built from the dodecahedron (12 pentagonal sides).

Either start with the "rhombic_triacontahedron_small.stl" file or start with the "dodecahedron_small.stl" file. With the dodecahedron, you can optionally use (12) "type0_bumpout_small.stl" which when glued to the face of the dodecaheron will convert the dodecahedron into a rhombic triacontahedron. Once you have a rhombic triacontahedron, use (12) "type1_from_rhombic_triacontahedron_small.stl" parts for the next step to turn it into an everlasting gobstopper. Optionally you can skip building a rhombic triacontahedron and you will not need the type0 bumpouts. My recommended processis to just start with the dodecahedron and superglue on (12) "type1_bumpouts_dodecahedron_small.stl" to convert the dodecahedron directly into the everlasting gobstopper without creating a rhombic tricontahedron. I am calling it the "everlasting gobstopper" due to lack of a better name but it is essentially a dodecahedron with its 12 faces extended outward and rotated. You could also skip this and just start with the everlasting gobstopper which is interesting by itself.

Use the everlasting gobstopper with many (12 I think) of the type2 bumpouts (I included an everlasting gobstopper with one type2 bumpout stl to illustrate)

That leaves you at the "almost_done.stl" stage. Installing the type3 bumpouts is all that is left.

Once type3 bumpouts are applied, you are "Finished" (holes filled in with type3 bumpouts)

For anyone that is familiar with the fascinating Zometools Hyperdo, these shapes may look familiar. If you are curious you may wish to explore the following videos and information regarding 120 cell hyperdodecahedrons that I thought were interesting:

https://www.youtube.com/watch?v=D5OsI9z7NFk at minute 4:36

https://www.youtube.com/watch?v=MFXRRW9goTs at minute 2:05

https://www.youtube.com/watch?v=2s4TqVAbfz4 at minute 17:06

https://en.wikipedia.org/wiki/120-cell

Also, Here is a neat 120-cell model. I aligned the base and printed at 800% scale with a large brim: https://www.thingiverse.com/thing:3967077

Enjoy!

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Other random shapes I made and also included here:

Star shapes similar perhaps to a pointed dodecahedron (maybe a pointed Animal Crossing star fragment)...? One has shorter points and another has longer points.

icosahedron (20 sides)

octahedron (8 sides)

icosidodecahedron (20 triangles and 12 pentagons)

Print Settings

Printer Brand:

Creality

Printer:

Rafts:

No

Supports:

Resolution:

200

Infill:

Filament: PolyMaker PLA

Category: Math Art