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Treat the 3D sphere as a 2D circle. The radius for the sphere is the same radius as for the circle. No matter where on the sphere you place a mark, the distance (radius) from the mark to the centre of the sphere will always be the same as the circle.
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Draw a diameter on the circle from A to B and mark the midpoint, C (center of the circle). Mark the midpoint, D, of one of those radii (halfway between center and edge). Draw a perpendicular line to the diameter from D to the two edges of the circle, E and F. Draw radii from E to C and F to C. Lines AC, EC, and FC mark the three equal parts of a circle.