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Throughout nature there is a balance between order and disorder so
from this perspective it is always easier to research natural phenomena as opposed to the empirical approach which seeks laws,rules or order to nature as though it were a machine when observations and experience,and especially in evolutionary sciences, dictate otherwise.Nothing is more powerful or satisfying than when an old perspective gives way to an entirely different picture,the shift from geocentric astronomy to the Earth's planetary being one of them,evolutionary geology being another in tandem with the fossil record but these massive shifts were possible because the obliterated overheated and contrived reasoning and allowed a more streamlined and common sense answer to observations. The first mathematical encounter with a balance between order and disorder is arithmetical as the sequence of numbers in the Phi and Pi proportions are neither random or ordered yet contain geometrical information seen throughout nature - http://www.maths.surrey.ac.uk/hosted...ott/Fibonacci/ The recent breakthrough,at least as I see it,was a totally geometric expression of the random/ordered balance in the form of Penrose tiling first and then quasicrystals later as they are found and grow in a real setting as opposed to being just a mathematical curiosity.Like all forms which contain the Phi proportion,the balance between beauty and natural efficiency has resonated with genuinely interested people as opposed to the current atmosphere which lacks any hint of an underlying balance and tries to treat nature like a machine that is running down and spluttering to an end. Quasicrystals an their antecedents on the plane ;Penrose tiling are different to the Phi related forms in biology insofar as they grow to an indeterminate limit like a geometrical form of the non periodic Phi and Pi values and this is where those of a religious or intuitive intelligence spots the connection between the Universal and the local.The growth patterns of quasicrystals are local but follow a Universal pattern hence one feeds into the other but to what end do these patterns tend just as all the other natural phi forms do ?. I discovered through a very old representation (it does not originate with me) that contains both hexagonal and pentagonal features, and although I cannot reproduce the representation in a format suitable for the Usenet,I left a representation on Wikipedia showing where the angles of Penrose tiles/quasicrystals point towards a unique geometry - http://en.wikipedia.org/wiki/Talk:Quasicrystal The one copyright I have ,and I regret taking it out in 1990,was an expression of this representation in terms of volume/density ratios in order to represent 3 dimensions within a parent or prime dimension hence 'E Pluribus Unum',of course this travels in the opposite direction of empiricism which invests additional dimensions to natural phenomena.The fact is that in 1994 when the images of Sn1987a emerged,and this supernova event reflects a process where volume/ density ratios are a priority,they traced an idealistic representation of a prime dimension with 432 degrees at its core by way of two large external rings and a smaller intersecting ring. There is so many visual things to discuss and consider and while empiricists may suffocate the attempt to interpret visual data by invoking unseen particles and forces and giving them priority,people should become involved with all the visual data popping up all over the place and moving information around as it is the creative thing to do. |
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