Iso-Area Triangle Twists (CFW 68)

Crease Pattern

The Crease Pattern and pictures of finished model can be found in Shuzo Fujimoto’s books:

Solid Origami, page 100 (this book presents the model in the clearest way, in my opinion)
Invitation to Creative Playing with Origami, pages 160, 161, and 163 (note that pictures and CP of this model are mixed with those of other models) Twist Origami I, page33, marked C6 (just a very low-quality image of model in back-light)

The basic idea is as follows:

Fold a triangle twist on one side of the sheet.
Turn the model over.
From the back of the triangle twist made on the other side, emerge three pleats. Choose one to work on.
Raise the pleat a little and split it one grid unit from the center of the twist that is on the other side.
Create a triangle twists using the split pleat.
Repeat for the other two pleats.
Turn the model over again. Now, find the back sides of the twists you created in previous step. One of the three pleats emerging from the center of their back sides will already be used by the triangle twist you created in the very first step of folding. For the other two, repeat the splitting and twisting procedure.
Continue until the whole grid has been used. While the pattern is simple and nicely symmetric, in practice folding this model with a large grid can be a bit confusing. Still, the end result looks great in back-light, and the folding process is a good exercise in managing twists on a hex grid.