Snowflake curve

The snowflake curve is continuous but nowhere differentiable—loosely speaking, it is all corners ... 

Snowflake) To construct the famous fractal known as the von Koch snowjlake curve, use an equilateral triangle for. Then do the von Koch procedure of Figure 11.3.1 on each of the three sides. 

Typical examples of these fractals are the Cantor set ( dust ), the Koch curve, the Sierpinski gasket, the Vicsek snowflake, etc. Two properties of deterministic fractals are most important, namely, the possibility of exact calculation of the fractal dimension and the infinite range of self-similarity -°° +°°). Since a line, a plane, or a volume can be divided into an infinite number of fragments in different ways, it is possible to construct an infinite number of deterministic fractals with different fractal dimensions. Therefore, deterministic fractals cannot be classified without introducing other parameters, apart from the fractal dimension. 

Fig. 5 Methane-water phase diagram. The solid line is the experimental [47] three-phase equilibrium curve of methane hydrate. The snowflakes show the result of Jensen et al. [33] for TlP4P/lce model. The filled blue, green, and red symbols show the three-phase coexistence points of Conde and Vega [31], and open symbols show our results Yellow triangles are for SPC/E, green diamonds and red squares for T1P4P/2005 with x = 1 07 and 1.00 in (1), respectively, and blue circles for TlP4P/lce. Our symbols correspond to 5510 unit cell systems. The statistical errors are within the symbols...

Fig. 9.13 Calculated reflection curves for an array of modified snowflake elements in the low (top) as well as the high (bottom) bands.

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