From 7fdd57d09d272a9f6da636724de1eaa95217243e Mon Sep 17 00:00:00 2001 From: Vectornaut Date: Thu, 29 May 2025 23:59:05 +0000 Subject: [PATCH] Finish writing about degenerate solutions for points on two spheres --- Test-problems.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Test-problems.md b/Test-problems.md index 00a505a..b8f03b9 100644 --- a/Test-problems.md +++ b/Test-problems.md @@ -35,7 +35,7 @@ Choose a whole number $n \ge 1$. Make two spheres and constrain $n$ points to ea #### Notes -The spheres are allowed to coincide, and the points are also allowed to coincide, +In a generic solution, both spheres and all the points are different, but there are degenerate solutions where the two spheres or some or all of the points coincide. These are valid solutions to the problem as stated here, but it's also interesting to test whether one can gravitate toward generic solutions or deform a degenerate solution into a generic one. ### Rigid hexagon