A sphere was rotated 45 degrees down and 45 degrees clockwise horizontally, with coordinates provided for its new position at the North Pole. Some mathematical formulas are also included relating to the sphere's radius, as well as the x, y, and z distances from the sphere's center based on the down and clockwise horizontal rotation amounts. A radial plot of a circle is also mentioned with formulas for the x and y distances in terms of the theta parameter.