Is the number 8 special in turning a sphere inside out? So after watching the famous video on youtube How to turn a sphere inside out I noticed that the sphere is deformed into 8 bulges in the process. Is there something special about the number 8 here? Could this be done with any number of bulges, including 2?
Image:

Video: How to Turn a Sphere Inside Out

No, 8 isn't special beyond it being the choice they made for that specific video. 
The software the group wrote to make that video allowed you to choose that parameter arbitrarily.  I bet if you spent some time digging you could find that software somewhere on the internet, and create your own eversion videos with a different choice of the number of corrugations. 
You can find a (modified) version of the source code here: http://profs.etsmtl.ca/mmcguffin/eversion/
as well as commentary from Silvio Levy on the choice of number of strips. 
