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TRANSFIGURAL MATHEMATICS (TfM) is a new kind of mathematics which is representative of Nature and natural processes as a flowform of one in the other. Unlike classical mathematics which is fundamentally discrete and about models and modern mathematics which tries to flow but ends up being discrete among its members such that both end up representing purely theoretical setting, in transfigural mathematics everything flows. What results is the representation of the natural within the theoretical setting and the theoretical within the natural setting.The name, 'Transfigural Mathematics' originated from ’transfigural’ which originates from 'Trans = across, over, beyond' and 'figure= a shape, form, figure' from which we have 'Transfigure = change the form of', to which is added 'figural = consisting of or forming figures.' From these follows that we have transfigural which is, 'transfigural = trans figure figural' as the change of form across, through and beyond. TfM treats both numerical and logic forms and geometric ’figures’ as open dynamic flow-forms permeated by space, not closed-off entities that either occupy or are confined by ’space’.Correspondingly, these figures cannot be abstracted from the spatial context that they both fold into and in from, and space is not a meaningless ’absence of presence’ or ’emptiness’, but instead a limitless, receptive presence of ’openness’, full of creative potential.Both ’zero’ and ’infinity’ are natural qualities of this receptive space that can neither be cut up into nor assembled from discrete quantitative ’units’, like the discontinuous ’sets’ of ’one’ or ’many’ in conventional mathematical formulations. These qualities are vital to the dynamic point as a flow that becomes the line and the line that folds to become the point without beginning nor end. What results is the point as line and the line as point constituting a flow of one in the other which is a flowform. In this flowing, folding and forming, a thing is itself and the context of its story. This context is the environment, the home, the habitat which is Nature. Things as relative infinities in Transfigural Mathematics means that one is in the other of all and there is none that is greater or less than the other but each is unique and distinct as local in the nonlocality that is in all and everywhere.Transfigural Mathematics is a thought, that is transfigural thought, a philosophy which is transfigurality, a way of life that is one in the other and a mathematics, physics, biology, indeed the sciences, social and natural, including literature and the arts, spirituality. Indeed TfM is a way of life of one as a flow in the other and of worlds within worlds in which one is equal to the other but different yet the same. All of this and more that cannot be said here but are to be found in the works on Transfigural Mathematics are brought together succintly in what Transfigural Mathematics is which is what we have below: Transfigural Mathematics is the study of change in permanence and permanence in change of figure across, among and in between, on the inside, within and beyond. This is the study of the permanence in change and change in permanence of figure in inter, intra, omni and transspatial realms - where, ultimately it is the space that is permanent and the figure that transfigures as a configuration of space.
