In the news, a new aperiodic tiling, with one tile. It does use mirrored copies as well.

https://cs.uwaterloo.ca/~csk/hat/
89 page math paper...

The STL can be opened in MeshLab, and saved as .Obj.
The Obj can be imported to MoI, and desired edges or faces further utilized. I used the importObj script. The MoI conversion tool to Obj would probably work(?)
The Obj is a solid, but I re-extruded it anyway...
I did boolean to create a single tile, and also used a 180 degree axis reflection to mirror a copy.
The edges are confusing, so a copy of the available 4 tile Triangular-ish picture to duplicate it.

- Brian
Getting the geometry into MoI was challenging.
A quick Rhino try did not help. SVG did not help. Direct STL import script did not help.