Ultracold atoms are crucial for unlocking truly precise and accurate quantum metrology and provide an essential platform for quantum computing, communication, and memories. One of the largest ongoing challenges is the miniaturization of these quantum devices. Here, we show that the typically macroscopic optical lattice architecture at the heart of many ultraprecise quantum technologies can be realized with a single-input laser beam on the same diffractive chip already used to create the ultracold atoms. Moreover, this inherently ultrastable platform enables access to a plethora of new lattice dimensionalities and geometries, ideally suited for the design of high-accuracy, portable quantum devices.