Minimal self-similar Peano curve of genus 5$\times$5

The paper presents a plane regular fractal Peano curve with a Euclidean square-to-line ratio ($L_2$-locality) of 5$\frac{43}{73}$, which is minimal among all known curves of this class. The presented curve has a fractal genus of 25. Performed calculations allow us to state that all the other regular curves with a fractal genus not exceeding 36 have a strictly greater square-to-line ratio.