For those lacking travel destinations I have a map with geographical centers (centroids) of each Romanian county. For the moment only latitude and longitude to be checked in Google Maps.

For example the center of Bucharest seems to be one block north of Cișmigiu Park. Also my estimated centroid of Romania is about two kilometers due north from the “official” estimate, south-east of the town of Făgăraș.

The error indicated above is likely to be a projection error. Indeed, the above calculations are made using planar coordinates, and overestimate the size of the northern parts of any surface. The real “spherical” centroid is thus always due south from our estimation. Also the largest planar county above is Suceava, while the county with the largest surface “on the ground” is Timis. The difference is entirely explained by their latitude.

A much less colorful version with code.

Also south of the town of Făgăraș, one can find the inner and outer circle centers. The inner circle center is the only point in Romania located more than 218km from any other country. Similarly the outer circle center is the only point located less than 371km from any other point in Romania. The outer circle is defined by the westernmost point of Romania (near a three countries border) and the easternmost point (near Sulina town in the Danube delta). Its center is very near a summit in the Făgăraș mountain chain.

As an extra, I was exploring the application of the graph coloring ideas to the county map of Romania. The map cannot be colored with three colors without having neighbors with the same color. As it is well known there is at least one coloring of the map with four colors. For the county’s map there seem to be millions of colorings, and below is an example with minimal usage of the forth color.