Robustness of the low-energy urban configuration pattern

Establish whether the observed tendency of existing urban configurations to require lower movement energy than translated, rotated, and rescaled alternatives holds beyond the 56 cities and the geometric transformations examined.

Background

The study compares 56 cities with translated, rotated, and rescaled versions of their road networks while keeping mobility demand fixed and evaluates movement energy using horizontal travel distance and cumulative uphill elevation gain. The observed configurations generally lie near the low-energy boundary of the tested alternatives, although four cities exhibit slightly lower-energy displaced configurations and many cities have geographically constrained comparison sets.

The authors explicitly restrict their conclusion to the finite set of cities and transformations analyzed. It remains unresolved whether the same empirical regularity persists across other cities, broader geographic contexts, additional transformation families, or alternative urban configurations beyond those tested.