This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# FindDivisions

 FindDivisions finds a list of about n "nice" numbers that divide the interval around to into equally spaced parts. FindDivisions makes the parts always have lengths that are integer multiples of dx. FindDivisions finds successive subdivisions into about , , ... parts. FindDivisions uses spacings that are forced to be multiples of , , .... FindDivisions gives all numbers in the interval that are multiples of the .
• FindDivisions searches for numbers that are shortest in their decimal representation.
• FindDivisions searches for numbers that are shortest in their base k representation.
• The first and last numbers may be slightly outside the range to .
• The can be exact numbers such as Pi specified in symbolic form.
• FindDivisions yields a list of lists, in which later lists omit elements that occur in earlier lists.
• For some choices of , some of the lists generated may be empty.
Find five divisions of the interval [0,1]:
Division end points may be outside the initial range:
Generate multiple levels of divisions:
Find divisions that are aligned to multiples of :
Find divisions that are short in a given base:
Find five divisions of the interval [0,1]:
 Out[1]=

Division end points may be outside the initial range:
 Out[1]=

Generate multiple levels of divisions:
 Out[1]=

Find divisions that are aligned to multiples of :
 Out[1]=
 Out[2]=

Find divisions that are short in a given base:
 Out[1]//BaseForm=
 Out[2]//BaseForm=
 Out[3]//BaseForm=
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