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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 == | ||
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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