Robotic bipedal mass scales with the square of leg length rather than the cubic scaling found in biological systems.
March 25, 2026
Original Paper
Allometric Scaling Laws for Bipedal Robots
arXiv · 2603.22560
The Takeaway
This challenges the assumption that robots should follow biological isometric scaling laws, suggesting that structural mass in bipedal robots scales more efficiently. This finding provides a new empirical foundation for engineers designing robots across different size scales, moving from centimeters to meters.
From the abstract
Scaling the design of robots up or down remains a fundamental challenge. While biological systems follow well-established isometric and allometric scaling laws relating mass, stride frequency, velocity, and torque, it is unclear how these relationships translate to robotic systems. In this paper, we generate similar allometric scaling laws for bipedal robots across three orders of magnitude in leg length. First, we conduct a review of legged robots from the literature and extract empirical relat