Timeline for Configurations of points and circles
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 7, 2022 at 17:48 | answer | added | Casper Madlener | timeline score: 0 | |
| Sep 1, 2022 at 13:05 | answer | added | Will Brian | timeline score: 3 | |
| Sep 1, 2022 at 10:14 | history | edited | Fedor Nilov | CC BY-SA 4.0 |
added 708 characters in body
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| Aug 30, 2022 at 17:10 | comment | added | Fedor Nilov | Yes, the number of points/circles is finite ("several" means finite). | |
| Aug 30, 2022 at 13:48 | comment | added | LeechLattice | Do you insist that the number of circles and points is finite? Otherwise there is a solution for $n=6$, e.g. https://www.vectorstock.com/royalty-free-vector/seamless-circles-and-hexagons-pattern-vector-2520168 | |
| Aug 26, 2022 at 2:09 | comment | added | Sam Hopkins | These are beautiful! I wonder if it might be useful to put them on a sphere and view them as arrangements of planes in space. | |
| Aug 26, 2022 at 1:00 | comment | added | RavenclawPrefect | Note that the $n=5$ example here arises from taking an icosahedron on the sphere and using circles centered at every vertex with a radius equal to the (spherical) edge length, then taking a stereographic projection to the plane. The uniqueness of the Platonic solids seems like some evidence that such configurations may be very rare, though as your $n=4$ example shows they don't have to derive from regular polyhedra. | |
| Aug 25, 2022 at 9:55 | history | asked | Fedor Nilov | CC BY-SA 4.0 |