Recently I posted a question asking whether or not every closed loop is guaranteed to have an interior point from which a cross could be drawn which intersects the loop in four right angles. The answer was no. I wish to expand upon this: is there a closed-form equation which gives the maximum number of rays which can be spaced equidistantly from a point in the interior which guarantee all of them are perpendicular to a surface homomorphic to an n-sphere in each dimension? For my loop question, it seems to to be two. Any help would be appreciated.
Asked
Active
Viewed 41 times
1
-
I'am not really sure what you mean by "rays which can bespaced equidistantly from a point in the interior which guarantee all of them hit a surface homomorphic to an n-sphere in each dimension". I am having especially trouble translating/interpreting the word "bespaced". Can you give an example or expalin this some more? – Ernie060 Sep 15 '18 at 22:45