one single name
two single names, side by side (usually cut apart after preparation)
two single names, back to back (usually cut apart after preparation)
two single names criss-crossed, enclosed in a circle of words
two single names criss-crossed, enclosed in a square of words
three single names forming an equilateral triangle
three single names forming an equilateral triangle, enclosed in a circle of words
three single names forming an equilateral triangle, enclosed in a square of words
one name repeated line after line
one name repeated line after line, covered by a command
one name repeated line after line, criss-crossed by a command
two names repeated line after line in two columns (usually cut apart after preparation)
two names repeated line after line, one name covering over the top of the other
two names repeated line after line, one name over the top of the other in reversed direction
two names repeated line after line, one name criss-crossed over the top of the othe
two names repeated line after line criss-crossed, enclosed in a circle of words
two names repeated line after line criss-crossed, enclosed in a square of words
Et cetera.
This is not something that can be quickly explained in a forum. Basically, there are symbolical reasons as well as the weight of traditional behind these ways of writing, You can study a number of different ways of writing petition papers in my book, "Hoodoo Herb and Root Magic," where they are illustrated. The theory behind these variations, with examples of how to use them in different situations is covered in depth, and gets an entire chapter, in my "Hoodoo Rootwork Correspondence Course."
Also, this post should not have been in the section "Ask for Help with Your Situation." Writing out a petition paper is not a situation, in the sense that a love affair, a divorce, a job change, or getting a mortgage refinanced is a situation.

Good luck.