There is only one point in front of a perspective drawing where its three mutually perpendicular vanishing points appear in mutually perpendicular directions, but such a drawing nonetheless appears realistic from a variety of distances and angles.
Zeeman's Paradox
See also
Leonardo's Paradox, Perspective, Vanishing PointExplore with Wolfram|Alpha
References
Dixon, R. Mathographics. New York: Dover, p. 82, 1991.Referenced on Wolfram|Alpha
Zeeman's ParadoxCite this as:
Weisstein, Eric W. "Zeeman's Paradox." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZeemansParadox.html