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Pecs, HU
Immortal since Sep 3, 2010
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    From BenRayfield
    Physics and Computing...
    Now playing SpaceCollective
    Where forward thinking terrestrials share ideas and information about the state of the species, their planet and the universe, living the lives of science fiction. Introduction
    Featuring Powers of Ten by Charles and Ray Eames, based on an idea by Kees Boeke.
    From erdos's personal cargo

    Experiments With Logarithmic Spirals
    The nature of the logarithmic spiral contains the subject of implicite infinity. That is, the distance from the origin of a point is growing exponentially in the function of the rotation parameter. For an other approach, however, the rotation of a point is growing in a logarithmic function of its distance from the centre. Either of the two give the same curve with a finite length and limited boundary.

    Any shape that is built up of straight line segments can be spiralized by replacing the edges with such double spirals. Shrinking the whole figure proportiopnal to the change of the side lengths will give constant area. This process also keeps tessellation properties.

    Sun, Aug 12, 2012  Permanent link

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    edanet     Mon, Aug 13, 2012  Permanent link