WXYZ Impostor. The design is mine, but I include WXYZ units, designed by Tung Ken Lam.
Once a year, I run a little class to teach origami to kids. This year, one of the projects was to create the famous WXYZ model, which consists of four intersecting triangles (labeled W, X, Y, and Z). So I had been thinking about this model, and thought, I could design a variation on the theme. The result is shown above.
Once I had completed it, I realized I could not show this to the kids! It would just confuse them! The WXYZ Impostor looks like the model they were trying to create, but is slightly different in a way that is difficult to place. Check out the comparison below.
Can you tell what the difference is?
I can make a crane.
The equivalent of the blue triangle is flipped in the all-green version?
@xykademiqz
Technically yes, since you can reach any triangle position by reflecting it around the right axis.
In the original, all triangles intersect each other on a median. In the impostor, three triangles do, but the one in the near-vertical plane is rotated 30 degrees. The other triangles intersect it on lines parallel with the sides.
@cvoinescu,
Yeah that’s correct. The bright green triangle is rotated by 30 degrees.