Today’s new collector is a repository for information about the topology and geometry of triangulated meshes. It’s a work in progress that I hope to add to over time, as I learn more about these things.
One of the things we’ll talk about in the Mesh Wisdom Collector is the Schönhardt polyhedron, which is the simplest example of a non-tetrahedralizable polyhedron:
It’s hard to see in this two-dimensional picture, but in person it isn’t hard to see why this object cannot be subdivided into tetrahedra that share its vertices. You can download a copy for 3D printing here:
- 3D-printable model of the Schönhardt polyhedron on Thingiverse
If you have information, references, or links that you think would be good for the Mesh Wisdom Collector, please let me know!
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