Harvey Porter is a wizard. He waved his wand and made a grain of sand that had a diameter of 0.00002 \text{ m}0.00002 m0, point, 00002, start text, space, m, end text grow to a diameter 0.006 \text{ m}0.006 m0, point, 006, start text, space, m, end text. Approximately how many times as large is the diameter of the grain of sand now as it was before Harvey Porter waved his wand?

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry. how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.