Two points on a surface which are opposite to each other but not farthest from each other (e.g., the midpoints of opposite edges of a cube) are said to be transitive points. The sphere has no transitive points.
Transitive Points
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References
Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, p. 175, 1999.Referenced on Wolfram|Alpha
Transitive PointsCite this as:
Weisstein, Eric W. "Transitive Points." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TransitivePoints.html