glen/dyna3
1
0
Fork 0
Code Issues 14 Pull Requests 1 Actions Projects Releases 2 Wiki Activity

Specify "real"

Vectornaut 2024-02-13 21:52:12 +00:00
parent 2d1fccd845
commit 1352af7a3f
1 changed files with 1 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
Engine-prototype.md

@ -7,7 +7,7 @@
### Challenging examples
With three mutually tangent spheres, `HomotopyContinuation` doesn't seem to find solutions, even though we know there are some. One solution, in $[r, s, x, y, z]$ coordinates, is:
With three mutually tangent spheres, `HomotopyContinuation` doesn't seem to find real solutions, even though we know there are some. One solution, in $[r, s, x, y, z]$ coordinates, is:
* $[0, 0, 0, 0, 1]$ (plane perpendicular to $z$ axis)
* $[1, 0, 0, 0, 1]$ (unit sphere above plane, touching at $[x, y] = [0 ,0]$)
* $[1, 4, 0, 2, 1]$ (unit sphere above plane, touching at $[x, y] = [0, 2]$)