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    A knot that corresponds to a prism manifold through Dehn surgery.

 

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Chloe Hsu
undergraduate student, PMA

How to visualize objects in four-dimensional spaces? In topology research, mathematicians often have to deal with four-dimensional geometric objects beyond human imagination.

Fortunately, some manifolds in four-dimensional spaces can be corresponded to knots in the three dimensional sphere. This is an example of such a knot.

The image is based on a blackboard drawing with contribution from William Ballinger, Chloe Hsu, Wyatt Mackey, Yi Ni, Tynan Ochse, and Faramarz Vafaee.

chhsu@caltech.edu

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