By extending the concept congruence from integer to real number field

this paper defines a concept named ‘part’ of real number. A real number can be represented as an infinite sequence

a finite sequence of it is called 'part'. If two real numbers have the same part

then they are called isopart. By Studying the part of a real value function

we have the conclusion as following: the set which includes all the isopart points is normally a binary fractals

The image of the new function generated by taking the part of the given function is multi-value fractals. The infinity of real number leads to the complexity of this kind of fractals

and the given function leads to the regularity. The method does not need iterative operations which are essential for traditional fractal generation methods. In addition

it makes the connection between numbers and fractals.