Recent content by 7toni7
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Graduate Calculate the arc length between two points over a hyper-sphere
Well, This is how I do it in 2 dimensions. See image. Now, my question is: could this development be extended to N dimensions? Thank you- 7toni7
- Post #9
- Forum: Differential Geometry
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Graduate Intersection point between n-vector and n-sphere
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)...- 7toni7
- Post #4
- Forum: Differential Geometry
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Graduate Calculate the arc length between two points over a hyper-sphere
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...- 7toni7
- Post #7
- Forum: Differential Geometry
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Graduate Calculate the arc length between two points over a hyper-sphere
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- 7toni7
- Post #5
- Forum: Differential Geometry
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Graduate Intersection point between n-vector and n-sphere
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,- 7toni7
- Thread
- Intersection Point
- Replies: 3
- Forum: Differential Geometry
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Graduate Calculate the arc length between two points over a hyper-sphere
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...- 7toni7
- Post #3
- Forum: Differential Geometry
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Graduate Calculate the arc length between two points over a hyper-sphere
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- 7toni7
- Thread
- Arc Arc length Length Points
- Replies: 10
- Forum: Differential Geometry