Can anyone make me a list of fabrics that can not be dyed?

I have a light blue chair I want to be dyed brown and want to know if the fabric can be dyed. The chair is like this http://www.bedbathandbeyond.com/product.asp?order_num=-1&SKU=15026359

All animal fibers can be dyed with acid dyes. All plant fibers can be dyed with reactive dyes. And then there are synthetic products. The Most of those who can not be dyed, but some of them to take a "stain" and may be altered in any way. Nylon will dye very well, it is considered as a rayon fiber plant. Remember that dyes only add to what you have. Dyes make something darker. You can not do anything with a lighter dye. If you have dark fiber, you have to delete first, then dye. Often, damaging the fiber, so they prefer white sheep and white cotton. Races older ewes really have a great natural colors, and are preferred for hand weavers. The natural color cotton are very rare and beloved by artisans, but hated by the cotton industry for fear of being "polluted" his white cotton.

The Gadget Show – The Critical List: Smart Fabrics