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The World's Best Skylines

-- Mathematical analysis --

by Egbert Gramsbergen
-- Mathematical analysis --

Based on Marshall's Hot 500, july 1999.

The orange points are actual skyline data, the green line is an approximation given by
y(n) = A (1/n - 1/N)
with
A = 8500m and N = 104
is the total number of cities passing the threshold.
Note that given N, changing the only free parameter A merely shifts the whole curve up or down on the log scale.
This means that the fit is surprisingly good, despite the simplicity of y(n).

For a similar graph for individual buildings rather than city skylines, see the skyscraper heights analysis.

For a similar graph for individual buildings rather than city skylines, see the skyscraper heights analysis.

created: 1999-11-11 last update: 2002-02-19 |