The form of geometry that is applied to shapes in nature is Fractal geometry. Like all other forms of geometry it deals with the mathematics of size, shape and special relationships. The point where Fractal geometry differs from Euclidean geometry is that it deals with shapes that are infinitely irregular. Fractals are non-regular geometric shapes that have the same degree of non-regularity on all scales and when viewed in finer and finer detail, show themselves to be constructed of ever smaller parts, similar to the original. Clouds, snowflakes, mountains, ferns and many other naturally-occurring entities demonstrate fractals to mathematicians. ~ Wikipedia

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