Since I did the dual for the Snub Hex, I figured I should do the dual for the Rhombi Tri Hex. This tiling is called deltoidal trihexagonal (I say Deltoid Tri Hex or DTH). Like the Pentagonal Florets (and all duals to uniform tilings), this is a one-patch quilt.
EQ actually lets me tile this one without any workarounds. One of the quilt layouts they offer is called Baby Blocks:
This takes a square block and distorts it to fit in the diamond shape. So I had to reverse distort my custom block so that it would ultimately fit right: