An aerogel includes a three-dimensional printed structure having printed ligaments geometrically arranged, where an average diameter of the printed ligaments is in a range of greater than 0 microns and less than 50 microns. In addition, an average distance between a center of a first of the printed ligaments and a center of a second of the printed ligaments is at least equal to the average diameter of the printed ligaments, where the first and the second of the printed ligaments are adjacent. Each printed ligament includes of a plurality of random pores, where an average diameter of the random pores is less than 50 nanometers.