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Showing posts from October, 2015

Improved Fractal Lorenz Curve

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Four years ago I conducted a 'loose' experiment on a Christmas tree to test the weight distribution of branches for Lorenz curve wealth distribution similarities in an economy. This week I finished the Figure 3 chart (below) after modelling the Koch Snowflake fractal for (Lorenz) area distribution. Took me hours.  I found the area distribution not only follows what we observe with wealth distribution, but expands as the fractal grows (or develops) with time (Table 1). I also found different area groups (triangle sizes) grow with time (from an arbitrary size), and accelerate apart from each other with time. This is a geometry and can be observed in any fractal structure. I have updated my post at academia.edu Abstract: Global income has increased exponentially over the last two hundred years; while, and at the same time respective Gini coefficients have also increased: this investigation tested whether this pattern is a property of the mathematical geometry te