A challenge to all math experts... Follow me if you love such challenging questions as I keep on asking such questions to check the mindsets of the mathematicians roaming in
Please don't answer unnecessarily as your bad effort to gain points will be reported by me, first of all try in paper then only answer as your wrong answer reduces the chance for other mathematicians
This question is a bit easy than rest of others that I have asked earlier.

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.