The Nischke-Danzer-Deltoid 6-fold-2-2 was discussed and derived in [ND96] .
[ND96]
Nischke, K-P and Danzer, L
A construction of inflation rules based on $n$-fold symmetry
Discrete and Computational Geometry
1996,
15,2,
pp. 221-236,
96j:52035