The two-dimensional Hammersley point set of order 
is defined by taking all numbers in the range from 0 to 
and interpreting them as binary
fractions. Calling these numbers 
, then the corresponding 
are obtained by reversing the binary digits of 
. For example, the 
for the Hammersley point set of order 2 are given by 
, 
, 
, and 
, or (0, 1/2, 1/4, 3/4). Reversing the bits then gives
the second component, leading to the set of points (0, 0), (1/2, 1/4), (1/4, 1/2),
and (3/4, 3/4).
The point set can be generalized by truncating 
bits from each coordinate. The result is known as a binary
-net,
with 
representing the dimension (in this case, 
). Examples of these sets are illustrated above for 
, 
, and various degrees of truncation.
