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Hmmm... since you'd also want to avoid radiation as much as possible (don't forget, the Moon has virtually no atmosphere and no radiation belts, hence no protection on the surface from solar radiation), the logical place to build any structures would be below the surface... several meters of lunar regolith would make for a nice radiation shield.

Still, any new advancements that promote space exploration and (especially) colonization are fine with me.
 
Why are they still looking for a fabric, there already is one. Spider silk.
With this they can make suits that can withstand almost anything if it is thick enough.
To give an example: A t-shirt thick shirt has about the protection of a kevlar bullet proof vest. They can already produce spider silk artificially, so we're not far away.
 
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