A contact lens having a cap, core, and base forming three layers to allow for the contact lens to be thick enough to accommodate a payload, while ensuring sufficient oxygenation of the wearer's eye. The cap and base are each a thin layer of gas-permeable material, each shaped to form an air gap between them and the core. The two air gaps are connected by air passages that traverse the core. Oxygen from an outside environment passes through the gas-permeable cap to reach the outer air gap, through the air passages to the inner air gap, and through the gas-permeable base to reach the cornea of the wearer's eye. The cap may be annular in form, having a center hole such that the cap does not extend over the central zone of the core, reducing a thickness of the contact lens.