There are already states of matter that combine the properties of solids and liquids, including viscoelastic materials and glasses for starters. let’s look at what a supersolid is:
“a ‘supersolid’ is a strange sate of matter that has the crystalline structure of a solid, while flowing like a liquid”.
A quasicrystal could do that. And it’s well known that crystals can flow by the migration of discontinuities through them. Crystal flow works better in thin films than in 3-D masses because the discontinuities tend to get tangled up with each other in 3-D, until they sort themselves out into shear bands.
Let’s look further:
“it can also flow without viscosity” etc.
I think I understood this better in 2004.