A three-dimensional computer infrastructure cooling system is provided. The three-dimensional computer infrastructure cooling system includes at least one compute, storage, or communications brick. In addition, the three-dimensional computer infrastructure cooling system includes at least one coldrail to facilitate the removal of heat from the at least one compute, storage, or communications brick. Also, the three-dimensional computer infrastructure includes a brick-internal carrier within the at least one compute, storage, communications brick, wherein the brick-internal carrier is attached to the at least one coldrail. Moreover, the three-dimensional computer infrastructure includes a power dissipating electronic element within the at-least-one compute, storage, or communications brick, wherein the power dissipating element is attached to the brick-internal carrier.