  In this paper, we have considered a uniform distribution on a regular hexagon
and the set of all its six vertices as a conditional set. For the uniform
distribution under the conditional set first, for all positive integers $n\geq
6$, we obtain the conditional optimal sets of $n$-points and the $n$th
conditional quantization errors, and then we calculate the conditional
quantization dimension and the conditional quantization coefficient in the
unconstrained scenario. Then, for the uniform distribution on the hexagon
taking the same conditional set, we investigate the conditional constrained
optimal sets of n-points and the conditional constrained quantization errors
for all $n \geq 6$, taking the constraint as the circumcircle, incircle, and
then the different diagonals of the hexagon.
