In this paper, we present the topic of electoral geometry and certain methods of drawing boundaries of the electoral districts in order to manipulate electoral results. Through simple examples, we have seen how district boundaries can change election results even though the number of voters has remained unchanged. We started the elaboration of measures with certain intuitive and meaningful assumptions about electoral districts. Adhering to these assumptions when shaping the boundaries of the electoral districts, with the introduced measures we tried to determine the level to which the bias occurred in drawing the boundaries. We have introduced measures of compactness and convexity of the areas which describe the shape of the electoral districts, and we modified them so as not to penalize “weird” district borders if they are caused by state borders or by coastline. Apart from the shape of the area itself, the distribution of the voting population within the district itself also plays a big role in election results, hence certain irregularities in borders can be neglected if they include sparsely populated areas, and additionally punished if they include more densely populated areas. Although there are many measures related to this topic, none of them is an absolute objective measure that tells us whether certain boundaries are biased drawn or not. None of the measures alone is a good criterion given that two districts can have differently ranked results depending on the measure we use, so to get clearer picture we need to take several measures into account. Electoral geometry is still relevant political topic and various mathematical teams are trying to come up with new measures and algorithms which would help solve this problem.