Martin, drawing the spirals is the easiest part of the project, anyone can do it. The hard part of the project, is figuring the angle of the cut. It takes some trial and error work, to figure the angle of cut out. The best way to figure it out, is to get a piece of junk wood and practice. Apply your spiral pattern to the wood, and get to cutting it out. It will take a few pieces of scrap wood to practice with, and you should use some different thicknesses. Start with 4* and go on from there, eventually, you'll find the angle that works for you. There are books out there on this subject, they have all the patterns and angles figured out. It might be cheaper to buy a book, rather then waste time and money on practicing and getting frustrated with the results. There's a good book with this type of pattern in it, it's patterns drawn by Rick and Karen Longabough. It's called Collapsable Basket Patterns, and it has over a hundred different patterns in it. They are of all different shapes and sizes, and you even get info with each pattern of what angle and blade to use. I don't think you would regret buying the book, especially, if you're into this kind of cutting.
Len