Timeline for How many unit simplices are needed to cover a unit $n$-cube?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 24, 2015 at 17:47 | comment | added | Yoav Kallus | 20 unit-edge tetrahedra cover a unit-edge icosahedron, which nearly covers a unit-edge cube. Seems like you should be able to perturb that a bit and add a few tetrahedra to cover the cube completely. | |
| Apr 8, 2015 at 8:03 | comment | added | The Masked Avenger | hmm. Two unit tetrahedra seem to cover a cube of side length root(2)/3. Add one for each face and edge of the unit cube, and I get 34 total. | |
| Apr 8, 2015 at 4:43 | comment | added | The Masked Avenger | If you take two tetrahedra, put them base to base, twist one 60 degrees, then smash them together, you might get something that covers a cube of side length close to 1/2. In any case, I'm guessing the required number of tetrahedra is close to 20. | |
| Apr 8, 2015 at 0:29 | history | answered | Joseph O'Rourke | CC BY-SA 3.0 |