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The secret of Nature’s microscopic patterns  97



                                 embodies these principles and has provided structures which were func-
                                 tional and have stood the test of time. Furthermore, the Greeks were aware
                                 of some fundamental patterns in nature. Their architects recognised the
                                 intrinsic aesthetic value of the ‘golden ratio’ (1:1.618) which is derived
                                 from adjacent numbers in the Fibonacci series. The same mathematical
                                 series governs many space-filling operations in nature, seen most obvi-
                                 ously in the arrangement of scales in a pine cone or of seeds on a sunflower
                                 head.
                                    The DNA (our blueprint) gives rise to proteins (commonly our compo-
                                 nents) by converting the genetic code into a sequence of linked amino acid
                                 units. The proteins roll up in a specific (self-assembling) way governed by
                                 the interactions of the side chains. Some, by a long history of chance and
                                 evolutionary selection, behave as efficient catalysts (enzymes) to bring
                                 about the formation of other types of molecule from the same simple com-
                                 ponents. Others break apart molecules releasing energy to power these pro-
                                 cesses. The self-assembly of biological molecules and synthetic analogues
                                 has received some attention from biochemists, but exactly how does an
                                 organism progress from such a molecular cocktail to something with a
                                 spinal column, a stem or a complex silica shell? What is the workforce that
                                 operates to achieve construction from our genetic blueprint?

                                 6.1.2 The inertia of natural patterns
                                 In his inspiring work On growth and form, D’Arcy Thompson saw that the
                                 production of many relatively small scale biological structures such as
                                 radiolarian skeletons and the spiral shells of many marine organisms
                                 resulted from packing phenomena (as in pine cones or sunflowers) upon
                                 surfaces or in three dimensions. Today his work is perhaps seen as being
                                 overly directed to the description of nature by ‘natural’ mathematical
                                 rules, very much in the Greek tradition. However, the nub of his argument
                                 still has great merit; rules do apply in development and, as expounded by
                                 Kauffman, they are those of biophysics and chemistry acting at the inter-
                                 faces of components derived from the molecular soup within cells. Further,
                                 it is the interaction between cells so constructed and constrained that gives
                                 rise to the varied shapes of multicellular organisms, including ourselves.
                                 Nonetheless, it is at the scale of single-celled organisms that the mecha-
                                 nisms of self-assembly are most apparent and close observation of the often
                                 spectacular architecture displayed at this level, should give clues to the
                                 nature of these mechanisms. These interactions, as noted by Thompson,
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