A method being implemented by a map projection system including one or more physical processors and storage media storing machine-readable instructions, the method comprising: determining, by the map projection system, angular relationships from a point of interest to a plurality of peripheral points of interest (306;308;310;312;314;316) on a map; analyzing, by the map projection system, one or more cost functions from the point of interest to the plurality of the peripheral points of interest on the map; generating, by the map projection system, one or more concentric intervals centered about the point of interest on a different representation of the map, wherein each concentric interval represents a respective multiple of a unit of a measurement; generating, by the map projection system, a plurality of vectors emanating from the point of interest to the plurality of the peripheral points of interest on the different representation of the map, wherein the plurality of vectors comprises a first vector emanating from the point of interest to a first point on the different representation of the map in accordance with a particular angular relationship between the point of interest and a first peripheral point of interest, and wherein a first magnitude of the first vector represents a first cost associated with a first route from the point of interest to the first peripheral point of interest, the first cost corresponding to at least one of the one or more cost functions and being a first particular multiple of the unit of the measurement determined based at least in part on a location of the first point in relation to the one or more concentric intervals; and characterised in that the method further comprises generating a second vector emanating from the point of interest to a second point on the different representation in accordance with the particular angular relationship between the point of interest and the first peripheral point of interest, wherein a second magnitude of the second vector represents a second cost associated with a second route from the point of interest to the first peripheral point of interest, the second cost corresponding to the at least one of the one or more cost functions and being a second particular multiple of the unit of the measurement determined based at least in part on a location of the second point in relation to the one or more concentric intervals. determining, by the map projection system, angular relationships from a point of interest to a plurality of peripheral points of interest (306;308;310;312;314;316) on a map; analyzing, by the map projection system, one or more cost functions from the point of interest to the plurality of the peripheral points of interest on the map; generating, by the map projection system, one or more concentric intervals centered about the point of interest on a different representation of the map, wherein each concentric interval represents a respective multiple of a unit of a measurement; generating, by the map projection system, a plurality of vectors emanating from the point of interest to the plurality of the peripheral points of interest on the different representation of the map, wherein the plurality of vectors comprises a first vector emanating from the point of interest to a first point on the different representation of the map in accordance with a particular angular relationship between the point of interest and a first peripheral point of interest, and wherein a first magnitude of the first vector represents a first cost associated with a first route from the point of interest to the first peripheral point of interest, the first cost corresponding to at least one of the one or more cost functions and being a first particular multiple of the unit of the measurement determined based at least in part on a location of the first point in relation to the one or more concentric intervals; and characterised in that the method further comprises generating a second vector emanating from the point of interest to a second point on the different representation in accordance with the particular angular relationship between the point of interest and the first peripheral point of interest, wherein a second magnitude of the second vector represents a second cost associated with a second route from the point of interest to the first peripheral point of interest, the second cost corresponding to the at least one of the one or more cost functions and being a second particular multiple of the unit of the measurement determined based at least in part on a location of the second point in relation to the one or more concentric intervals.