Fractals can be considered repeating similar structures which are nevertheless not identical and thus provide a form of quasi-ordered chaos.It is interesting to speculate that such pseudo-patterns may provide a manner of allowing a more long-lasting life for ordered structures via the avoidance of the force causing all to tend towards chaos,due to the lack of actual duplication of a pattern and instead the occurrence of many variations upon what appears to be a theme or motif.The theme or motif may be fairly easy for a human brain to detect although it may be more difficult to define mathematically.The Fibonacci Series provides an example of what is in a sense a fractal series of numbers and indeed,it might be considered the arrangement of petals on flowers which follows this series in an example of this.It allows,instead of concentric circles,a spiral.This is perhaps a simple fractal.However,as it is fairly easy to define mathematically,it is not as disordered as some repeating patterns.In the Fibonacci Series,it is the numbers which are the repeating patterns and the equation defining each successive number is in a sense fractal as it is a variation upon a theme and each incorporates the one before to define itself.Thus one can dissociate the spiral into a series of pseudo-circles,with the number of constituent subunits varying according to the series,which may be regarded as a simpler form of fractal.It may be that such structures have,as it were,less fragility as they have fewer obvious,or perhaps less regular,places which can provide fracture points.Another biological system along such lines,might be the network of cells,interlocked somewhat in the manner of a jigsaw puzzle,found in epithelia,or perhaps other biological networks such as the branching systems found in the vascular system or the alveolar system.It may also be that other systems,such as patterns of the series of waves in the ocean as they break,the ripples on the surface of a body of water,the patterns of density of matter in the universe,that is solar systems,galaxies and clusters of galaxies,inter alia.