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In this paper, we have considered a uniform distribution on a regular hexagonand the set of all its six vertices as a conditional set. For the uniformdistribution under the conditional set first, for all positive integers $n\geq6$, we obtain the conditional optimal sets of $n$-points and the $n$thconditional quantization errors, and then we calculate the conditionalquantization dimension and the conditional quantization coefficient in theunconstrained scenario. Then, for the uniform distribution on the hexagontaking the same conditional set, we investigate the conditional constrainedoptimal sets of n-points and the conditional constrained quantization errorsfor all $n \geq 6$, taking the constraint as the circumcircle, incircle, andthen the different diagonals of the hexagon.

Conditional constrained and unconstrained quantization for a uniform distribution on a hexagon