Hypersphere II





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Uploaded on Oct 14, 2008

A hypersphere animation, but only showing the vertices where grid lines would meet.

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So can somebody explain what a hypersphere is, came form another video to figure out what it is so I can understand that video better
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ok cool now it makes sense thanks
Yes, like you can see all sides of a sphere at once. Although I wouldn't use the word "overlapping". You can think of a sphere as an infinite number of circles of different sizes all stacked on top of each other, but none of them really intersect each other. Same thing here. A hypersphere can be thought of as an infinite number of regular spheres "stacked" on top of one another, but again - none of them are really overlapping each other. :-)
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Daniel Burdick
Depictions of the surface of these things elaborate that as thee surface is 3D and as with a regular sphere, on its 2D surface, if you aim any direction the shortest distance is a great circle and you come around which ever way you point, with a 4D version you aim any which way up down right left forward back, aim any sort of direction and it is a circlular path you are aiming right back to your back.
Daniel Burdick
yes. Take a circle. Go to outside ring - go any direction and you come back to where you started. pick any diameter of the circle and turn it about that diam. or Axis and it turns thru 3D world, after 180 degrees its swept out/indicated 2 Hemispheres, a whole Sphere. Select any great circle of Sphere, hold it fixed firmly in our 3D. Turn it. One hemisphere leaves our universe in up 4D way, and the other down into 4D. After 180 turn Tada!! Hyper. Pick any 3D direction and go! They're all circles
Does this elaborate why an object traveling linearly forwardly within fourth-dimensional space-time will end at the identical location where the object began its journey?
Today, I just got mindfucked
Daniel Burdick
As in our 3D world viewing of an object - turning the object about, one way and another - is similar to traveling around it and looking at it from one available angle of view and another. If we painted one hemisphere of a beach ball orange and the other blue, we may see it as an orange circle or as the orange surface of a sphere facing us. 4D world they have a 3D retina. They will see a orange sphere thru and thru. And 180 degrees around, they have a blue sphere shape in their 3D retina. 
Mr Annibal
oh so it rotates in 4th dimension. '-'
you successfully managed to fry my brain (not healthy at all)
Nelson Baietti
I have a feeling you're tricking us... ; )
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