Fibonacho Tray

A math teacher friend wants a “fibonacho that” A chips and dip tray that looms like a nautilus shell. I have no clue how to design it. I could use some hints and advice. Thanx

you might be able to incorporate one of these designs into the general shell pattern…

http://www.craftsmanspace.com/free-patterns/mathematical-2d-patterns.html