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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 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 terme