Where, in the judgment of the Village Board, on the recommendation
of the Plan Commission, it would be inappropriate to apply literally
the provisions of this chapter because exceptional or undue hardship
would result, the Village Board may waive or modify any requirements
to the extent deemed just and proper. Application for any such variance
shall be made in writing by the subdivider at the time when the preliminary
plat is filed for consideration, stating fully all facts relied upon
by the petitioner, and shall be supplemented with maps, plans or other
additional data which may aid the Plan Commission and Village Board
in the analysis of the proposed project.