A battery electrode includes an electrically conductive sheet and two or more coating layers of an ion transport medium stacked thereon. Each coating layer has a respective two-dimensional array of low porosity regions formed therein, with a remainder of each coating layer that is not the two-dimensional array of low porosity regions defining a respective network of interconnected high porosity regions. Each of the high porosity regions has a feature size D, and an intralayer pitch P is defined between adjacent ones of the high porosity regions of each coating layer, with each pair of adjacent two-dimensional arrays having a respective alignment error E therebetween. A respective first electrically conductive path is formed thereacross via the networks of high porosity regions when D≤E≤P, with a second electrically conductive path being formed across all of the coating layers via the networks of high porosity regions.