Difference between revisions of "Holonomy Project"

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67 bytes added ,  15:10, 15 March 2020
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Currently, we have a Python demo that shows how we can map from a 2D space into 5D: a 3D space with 2D vectors at each point. The visualization follows the  2D original space (x and y plane) as it varies in time, and shows the total amount of curvature (holonomy; z plane) experienced by a special kind of round-trip in the mapped space. Attached at each point, it also shows the curvature of the output space (otherwise, not visualized) associated with that point, to give a sense of how curvature is generating the holonomy measured at each point along the original space.
Currently, we have a Python demo that shows how we can map from a 2D space into 5D: a 3D space with 2D vectors at each point. The visualization follows the  2D original space (x and y plane) as it varies in time, and shows the total amount of curvature (holonomy; z plane) experienced by a special kind of round-trip in the mapped space. Attached at each point, it also shows the curvature of the output space (otherwise, not visualized) associated with that point, to give a sense of how curvature is generating the holonomy measured at each point along the original space.
== Screenshots ==
[[File:Holonomy Example -1.png|thumb]]


== Cover Image ==
== Cover Image ==
[[File:Holonomy Example -1.png|thumb]]
https://theportal.wiki/images/f/f5/Holonomy.png


[[Category:Projects]]
[[Category:Projects]]
[[Category:Projects Needing a Cover Image]]
[[Category:Projects Needing a Cover Image]]
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