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Pentachoron — image 1
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Pentachoron

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Model information

Category
Math
License
Creative Commons — Attribution — Noncommercial — Share Alike

The pentachoron is the 4-dimensional simplex, the simplest possible convex 4-polytope, and is analogous to the pyramid in three dimensions and the triangle in two dimensions.

Read the articles in Wikipedia: https://en.wikipedia.org/wiki/5-cell

There you can also find a nice animation of a 3D projection of a pentachoron: https://upload.wikimedia.org/wikipedia/commons/d/d8/5-cell.gif

Printable without support, but with brim can be useful.

If you require other sizes, use OpenSCAD and the scad-file supplied.

Update: 
- Correct calculation of the high
- Bigger lines for more stability

Update2:
- Smaller corrections, brim