@pbacot said:
how does one create the evenly warped surface in the example?
Actually, in this case it wasn't so hard - the whole structure is made of strips that correspond to 5 degree rotations (of the central "layer"). The Soapskin & Bubble Ruby looks really nice though. For me, the important thing was when I realized that I could rotate the edge of many different rectangles at once.
First, I made a single rectangle that was as wide as I wanted the 5 degree strip to be, but 1/6th as wide in the other direction. Then I copied it so that there were 6 of those touching so that they glue together. Then I drew a single line across one long edge, selected this and rotated it by 5 degrees. Then I copied this 5 times to get the stack, selected the whole stack, copied it and moved it and rotated it by 5 degs so that it almost connected. Then I had to by hand move the end points slightly on the original strip (and in the end all of the triangle vertices as described above) so that they connected well with the new strip. Then I discarded the new strip (it was just a template) and copied and rotated the old one (then copied two and rotated two, etc. etc.). Thats a lot of words, but actually fairly fast in the end.
Attached is as new and improved section (as per the suggestions of Alan Fraser) as well as the beginnings of a new one (with 5 rather than 6 segments) in case my description made no sense.
Thanks to everyone for the suggestions!