Timeline for How many unit simplices are needed to cover a unit $n$-cube?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 25, 2015 at 15:16 | comment | added | Harry Altman | These don't seem to be regular tetrahedra; the edges that include the center have length shorter than 1. Edit: Oops, nevermind, that means regular ones are even larger and thus cover. Ignore this. | |
| Apr 25, 2015 at 15:13 | comment | added | Yoav Kallus | @TheMaskedAvenger It's possible that you can push one of the corners in without pushing any of the other corners out, but I haven't been able to. Pulling the tetrahedra that the corners sticks out of out does sound promising. | |
| Apr 25, 2015 at 11:58 | comment | added | Joseph O'Rourke | Very clever to use the icosahedron in this fashion! | |
| Apr 25, 2015 at 5:41 | comment | added | The Masked Avenger | Even cooler (to the point of freaky) would be to push 18 of the tetrahedra in and pull the other two out just enough to cover. Probably not enough room though. | |
| Apr 24, 2015 at 23:19 | comment | added | The Masked Avenger | Can you push the cube to one side and get 21? You can cover a large bit of the corner with one tetrahedron. | |
| Apr 24, 2015 at 23:11 | history | answered | Yoav Kallus | CC BY-SA 3.0 |