Structures having nanoscale 3D geometries are valuable as multifunctional materials,where multi-continuous microphases can synergistically influence mechanical,optical,transport and other properties.Such very high interface surface to volume ratio structures occur in a variety of materials including natural materials such as butter fly wings and sea urchin exoskeletons and in synthetic self-assembled structures such as surfactant/water systems and block polymers.Quantitative morphological characterization of such complex geometric structures is quite challenging.Unit cell sizes range from 10-300 nm with corresponding feature sizes on the 2-50 nm scale.Since these nanoscale network structures are bicontinuous,when one constituent is removed,the structure is still self supporting.Removal of one component produces a nanoporous material that may be in-filled with another component,or the surfaces of the nanopores can be coated with ultra-thin layers by atomic layer deposition to offer multifunctional capabilities.Due to the ability to individually tailor the properties of the network(s) and matrix,for example,to create strong dielectric or impedance contrast,such spatially periodic structures are excellent for the interference of waves (electromagnetic for photonic applications and acoustic for phononic applications) that can lead to bandgaps and hence the control of wave propagation in the material.This mini-review will focus on networks formed by bottom up self assembly of block polymers.In addition to structural issues,we emphasize the special physical properties related to bi-or tri-continuous networks.