Clifford torus


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1:0 - Clifford Torus
Загружено 23 апреля 2017
It has the connectivity of a torus, but is embedded on the surface of a four dimensional sphere. This is its stereographic projection onto 3D space.
1:12 - Grapher - Clifford Torus Work-In-Progress
Загружено 5 октября 2013
This is a work in progress model of a Clifford Torus made in Grapher.
1:11 - Grapher - Clifford Torus Work-In-Progress
Загружено 5 октября 2013
2:18 - Grapher - Clifford Torus 1
Загружено 4 октября 2013
Finally! After months of research, trial and error, I have successfully created a clifford torus in Grapher. This is the first video of 2 where I show a couple of variations of the clifford torus. This video shows the clifford torus with regular bands and demonstrates how they go from following around the tube to following around the hole of the torus due to it being turned inside out.<br/><br/>
2:17 - Grapher - Clifford Torus 1
Загружено 4 октября 2013
2:9 - Grapher - Clifford Torus 2
Загружено 4 октября 2013
This is the second video showing the clifford torus I made in Grapher. This one is made from a set of circles called hopf circles or villarceau circles which lie on the torus, which lies on the three sphere. An interesting image can be observed when it passes through the projection point, a parabolic ring cyclide.
2:8 - Grapher - Clifford Torus 2
Загружено 4 октября 2013
2:11 - Grapher - Clifford Torus 3
Загружено 4 октября 2013
The third video showing the clifford torus I made in Grapher.<br/><br/>
2:10 - Grapher - Clifford Torus 3
Загружено 4 октября 2013
1:5 - Stereographic Projection of a 4D Clifford Torus
Загружено 2 октября 2013
>The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.The Demonstration rotates the stereographic projection of a 4D Clifford torus (or square torus), defined by the points (r cos(h),r sin(h),r cos(v),r sin(v)). Every point on this hypersurface is at the same distance from the origin.Contributed by: Gerard BalmensAudio created with Wolfra
1:3 - Stereographic Projection of a 4D Clifford Torus
Загружено 2 октября 2013
4:57 - Clifford torus
Загружено 25 июля 2012
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