An RF inductor such as a Tesla antenna splices nanotube ends together to form a nanostructure in a polymer foam matrix. High Internal Phase Emulsion (HIPE) is gently sheared and stretched in a reactor comprising opposed coaxial counter-rotating impellers, which parallel-align polymer chains and also carbon nanotubes mixed with the oil phase. Stretching and forced convection prevent the auto-acceleration effect. Batch and continuous processes are disclosed. In the batch process, a fractal radial array of coherent vortices in the HIPE is preserved when the HIPE polymerizes, and helical nanostructures around these vortices are spliced by microhammering into longer helices. A disk radial filter produced by the batch process has improved radial flux from edge to center due to its area-preserving radial vascular network. In the continuous process, strips of HIPE are pulled from the periphery of the reactor continuously and post-treated by an RF inductor to produce cured conductive foam.