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Elementary Functions > Sec[z] > Visualizations

3D plots over the Riemann sphere (3 graphics)

Real part (left) and imaginary part (right) of over the Riemann sphere. The inward‐outward bending of a unit sphere is proportional to and . The many poles on the northern hemisphere and the essential singularity at results in a complicated structure at the north pole. The quarter‐space is not shown.

Values of as a Riemann sphere vectorially added to the Riemann sphere of . Shown is the part .