Timeline for Can every simple polytope be inscribed in a sphere?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 2, 2020 at 17:21 | history | became hot network question | |||
| Oct 2, 2020 at 15:08 | vote | accept | M. Winter | ||
| Oct 2, 2020 at 12:36 | answer | added | Moritz Firsching | timeline score: 23 | |
| Oct 2, 2020 at 10:50 | comment | added | HJRW | I see it now! The straight line between two vertices of the underlying tetrahedron passes "below" the straight line between the vertices in the middle of the faces of the tetrahedron, so the convex hull contains additional edges and vertices. Thanks for the explanation. | |
| Oct 2, 2020 at 10:46 | comment | added | M. Winter | @HJRW The picture shows a spherical polyhedron rather than a convex one (it is not the convex hull of finitely many points, has not only flat faces, etc.). The fact that the triakis tetrahedron is not inscribable can be found e.g. in "Six Topics on Inscribable Polytopes" by Padrol and Ziegler (p. 409 in "Advances in Discrete Differential Geometry"). | |
| Oct 2, 2020 at 10:42 | comment | added | HJRW | Could you give a bit more detail about your reference to the triakis tetrahedron? The page you link to seems to include a picture of an inscription of the triakis tetrahedron on a sphere: en.wikipedia.org/wiki/Triakis_tetrahedron#/media/… . What am I missing? | |
| Oct 2, 2020 at 9:40 | history | edited | M. Winter | CC BY-SA 4.0 |
edited title
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| Oct 2, 2020 at 9:15 | history | asked | M. Winter | CC BY-SA 4.0 |
