Manhattan property of geodesic paths on self-affine carpets
The authors show that, unlike in the case of Bedford-McMullen self-affine carpets, the geodesic path on a self-similar carpet between point \((x_1,y_1)\) and \((x_2,y_2)\) does not have length \(L \geq |x_1-x_2|+|y_1-y_2|\).
scientific article; zbMATH DE number 6924003
scientific article