Tetraviews of Elementary Functions

The natural living space of a function with being a complex variable is the two-dimensional complex space with coordinates or the four-dimensional real space with coordinates . This Demonstration shows three-dimensional projections from the four-dimensional space. By carrying out rotations in the four-dimensional space, different views of the function can be obtained (including views of the inverse function ).

THINGS TO TRY

SNAPSHOTS

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DETAILS

— rotation angle around the -plane

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