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Horizontal sphere plot. (Intermediary to the final rotated sphere.)
Sharon Liu.
2023/08/02.
r_sphere = 1.
r_45down = sin(45).
r_135down = r_45down.
d_yHorizontal = -sin(clockwise_horizontal)*r_halo.
d_xHorizontal = cos(down).
r_45down = 0.707106781 .

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