A nanotube-based insulator is provided having thermal insulating properties. The insulator can include a plurality of nanotube sheets stacked on top of one another. Each nanotube sheet can be defined by a plurality of carbon nanotubes. The plurality of carbon nanotubes can be configured so as to decrease normal-to-plane thermal conductivity while permitting in-plane thermal conductivity. A plurality of spacers can be situated between adjacent nanotube sheets so as to reduce interlayer contact between the nanotubes in each sheet. The plurality of spacers can be ceramic or alumina dots or provided by texturing the nanotube sheets.