Below are illustrations of two
natural
fractals. These trees are similar in their structure but
not identical. Their similar structure contains many small
branches
and few large ones. The patterns are also similar across
the small detailed and coarser
branches emerging from the
trees'
trunk. This pattern similarity occurs at different (spatial)
scales and is
an example
of 'statistical similarity.' We will see an analagous
property
in eye-movement patterns where there are many small movements (i.e.,
fixational eye movements) and far fewer large movements (ie.,
saccades) which
maintain their similarity over the course of seconds, minutes
and much longer time periods.