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Sphere rotated 45 degrees down, and 45 degrees clockwise horizontal. (This version
is the North Pole only.)
Sharon Liu. Supported and cared for, by The Access Project, dad and mum, the NHS, and the brainnet team.
2023/08/04.
r_sphere = 1.
North Pole (rotated).
North Pole (x, y) = (-sin(45)*sin(45), cos(45)).
r_halo = sin(down).
d_x = -sin(clockwise_horizontal)*r_halo.
d_y = cos(down).
d_z = -cos(clockwise_horizontal)*r_halo.
Radial plot, of a circle.
d_x = sin(theta).
d_y = cos(theta).

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