CP for basic Aztec Twist: http://www.origamitessellations.com/diagrams/aztec-twist/
Two days ago I folded my first attempt with pearlescent paper, and wasn't happy with my paper choice. So today I folded it again, using elephant hide. the picture shows the model slightly back-lit, and I'm much happier with the result. It's hard to fold everything 100% accurately, so I'm quite happy with how it turned out.
Paper: hexagon with a side length of 9.75cm (from a 19.5cm square), elephant hide
Model: hexagon with a side length of 5.5cm