Hello,
Sorry, I did not explain very good.
Suppose that we have one n-sphere. Inside it, we have a n-point (this point different of the origin, it is another point named H).
So, I have to compute the intersection of the line (that goes from the origin of the n-sphere passing from H)...
Hello,
Yes, suppose that we have one n-sphere. Inside it, we have a n-point (this point different of the origin, it is another point named H).
So, I have to compute the intersection of the line (that goes from the origin of the n-sphere passing from H) with the n-sphere. do you...
Thank you.
Then, the arclength on a n-sphere can be computed as follows:
S = R*acos(a.b/R2).
I think it is correct. Isn't it?
A last question, do you know how to compute the intersection point between a n-vector and a n-sphere?
Thank you so much again.
Best
Hello,
I'm trying to compute the intersection point between a n-dimensional vector and a n-sphere.
Do you know how to perform this? is it the same than 2 and 3 dimensions?
I can't really find much information about this topic.
Thank you very much,
Hello tiny-tim,
Thank you very much for your answer, and I'm pleased to be in this forum.
Yes, I think the same.
In 2D and 3D is just: (arclength = S, radius = R (in radians), angle between points= ω)
S = R*ω.
Then, I have 3 doubts:
1 - when dealing with dimensions greater than 3...the...
Good morning,
I'm trying to compute the arclength (geodesic distance) between two n-dimensional points over a n-dimensional sphere (hypersphere). Do you know if it is possible? If yes, please, I'd be very pleased if you, as experts, provide me this knowledge.
Thank you very much