In which order should brackets be used?

try this info

Parentheses and (square) brackets have many functions, such as:
1. they introduce additional explanations which could be safely omitted;
2. they make reference to paragraphs, sections, etc;
3. they are used in juridical papers;
4. they could be used to present particular situations. For example, translated words.

Example:
He loved Giconda more than his life [Giconda means “the wife of Francisco del Gicondo” in (small talk) Italian].

Parentheses and brackets complicate the reading of a literary document a lot. If possible, try to avoid them, and particularly nesting parentheses. They are used mostly in specialty documents, as are the grammar ones, to present additional information. The alternative to a pair of parentheses is a pair of commas or a pair of “em” dashes.

Literally, nesting parentheses may take the following acceptable forms:
( ( ) ); ( [ ] ); [ ( ) ].

http://www.corollarytheorems.com/Grammar/punctuation.htm

Brackets are punctuation marks used in pairs to set apart or interject text within other text. With respect to computer science, the term is sometimes said to only strictly apply to the square or box type.[1]

There are four main types of brackets:

round brackets or parentheses: ( )
square brackets or box brackets: [ ]
curly brackets or braces or Nances: { }
angle brackets or chevrons: < >

http://en.wikipedia.org/wiki/Bracket

{[()]} i think