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Quantum1332
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Can someone explain how a hypersphere is possible. Because obviously it would not add up to 360 degrees. Could it just be a 3d sphere rotating in a 4d (or more dimensions) hyperspace. Can someone shed some insight.
Quantum1332 said:Can someone explain how a hypersphere is possible. Because obviously it would not add up to 360 degrees. Could it just be a 3d sphere rotating in a 4d (or more dimensions) hyperspace. Can someone shed some insight.
hossi said:what should add up to 360 degrees? This seems to me a weird definition of a hypersphere. A sphere is defined to be all the points that have the same distance to some central point. You can do that in an arbitrary number of dimensions.
B.
Quantum1332 said:i was talking about the degrees. Hyper means higher dimensions, a hypersphere is a sphere that exists in higher dimensions, as in a 4d sphere.
Quantum1332 said:What I don't understand is how you can have a sphere in a 4d hyperspace. So what i want to know is, if it would basically be a sphere that is suspeded withing a 4d hyperspace.
Quantum1332 said:Can someone explain how a hypersphere is possible. Because obviously it would not add up to 360 degrees. Could it just be a 3d sphere rotating in a 4d (or more dimensions) hyperspace. Can someone shed some insight.
Quantum1332 said:Other dimensions are very hard to imagined. I have another question, why can't we see these other dimensions.
marcus said:Quantum1332 I will offer to make a deal with you.
Start your threads in a more appropriate forum and I will give you some hints about how to imagine a sphere in one higher dimension than usual.
Your question about imagining higher dim spheres could just as well have been asked before 1915. It is a classical type question. That is not bad! We need all that classical understanding----you should be asking. but it does not belong here.
So if you open it in, say, "Special and General Relativity"
forum it will not be so off - topic and you SHOULD get a fuller response.
Quantum1332 said:... you don't have to be so angry about it.
Is your problem specifically with a hypersphere, or with any object embedded in a 4d space ?Quantum1332 said:Can someone explain how a hypersphere is possible.
When you are using math, you need to be very specific about your description. What does not add to 360 degrees ? And the answer is not "I'm talking about the degrees". The degrees add to 360 degrees ? That doesn't help, does it ? You need to tell us what "it" is.Because obviously it would not add up to 360 degrees.
I think that will work.Could it just be a 3d sphere rotating in a 4d (or more dimensions) hyperspace.
A hypersphere is a four-dimensional shape that is analogous to a three-dimensional sphere. Just as a three-dimensional sphere has all points equidistant from its center, a hypersphere has all points equidistant from its center in four-dimensional space. While it may be difficult to visualize, mathematically it is possible to describe and understand a hypersphere.
A hypersphere is a four-dimensional shape, while a regular sphere is a three-dimensional shape. This means that a hypersphere has one extra dimension, allowing for more complex and unique properties. For example, a hypersphere has a larger surface area and volume compared to a regular sphere of the same radius.
Hyperspheres are used in various fields of science, including mathematics, physics, and computer science. In mathematics, hyperspheres are used to study higher-dimensional geometry and topology. In physics, they are used to describe and model objects in four-dimensional space. In computer science, hyperspheres are used in algorithms and data analysis for high-dimensional data sets.
While we cannot directly observe a hypersphere with our three-dimensional perception, it is theoretically possible for a hypersphere to exist in our universe. Some theories in physics, such as string theory and the concept of extra dimensions, suggest the existence of higher-dimensional objects like hyperspheres.
A hypersphere and a black hole are two different concepts. A hypersphere is a geometric shape, while a black hole is a region of space with a gravitational pull so strong that nothing, including light, can escape. However, some theories propose that black holes may have a hypersphere-like shape in higher dimensions, but this has not been confirmed.