This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
 Developer Package Symbol

# FindDivisions

 FindDivisions[{xmin, xmax}, n] finds a list of about n "nice" numbers that divide the interval around xmin to xmax into equally spaced parts. FindDivisions[{xmin, xmax, dx}, n] makes the parts always have lengths that are integer multiples of dx. FindDivisions[{xmin, xmax}, {n1, n2, ...}] finds successive subdivisions into about n1, n2, ... parts. FindDivisions[{xmin, xmax, {dx1, dx2, ...}}, {n1, n2, ...}] uses spacings that are forced to be multiples of dx1, dx2, .... FindDivisions[{xmin, xmax, {dx1, dx2, ...}}] gives all numbers in the interval with spacings dxi.
• FindDivisions[{xmin, xmax}, n] searches for numbers that are shortest in their decimal representation.
• FindDivisions[{xmin, xmax}, n, k] searches for numbers that are shortest in their base k representation.
• The first and last numbers may be slightly outside the range xmin to xmax.
• The dxi can be exact numbers such as Pi/2 specified in symbolic form.
• FindDivisions[{xmin, xmax}, {n1, n2, ...}] yields a list of lists, in which later lists omit elements that occur in earlier lists.
• For some choices of dxi, some of the lists generated may be empty.