Description Usage Arguments Details Value Mandelbrot set Credits References
Generates a view on the Mandelbrot set using an underlying C function.
1 2 3 4 5 | mandelbrot(xlim = c(-2, 2), ylim = c(-2, 2), resolution = 600,
iterations = 50)
mandelbrot0(xlim = c(-2, 2), ylim = c(-2, 2), resolution = 600,
iterations = 50)
|
xlim |
limits of x axis (real part) |
ylim |
limits of y axis (imaginary part) |
resolution |
either an integer n for n^2 pixels
or a list with x and y components specifying the resolution
in each direction (e.g. |
iterations |
maximum number of iterations to evaluate each case |
mandelbrot0
is an experimental interface
for generating tidy data.frames faster than
as.data.frame(mandelbrot())
.
a mandelbrot
structure with components: x
a vector
of the real parts of the x-axis; y
the imaginary parts of each
number (the y-axis); z
a matrix of the number of iterations that
|z|<2
In brief, the Mandelbrot set contains the complex numbers where the 0 orbit of the following function remains bounded (<2):
f_{z+1} = z^2 + c
For information and discussion on the Mandelbrot and related sets, one great resource is plus.maths.org. There's also a popular YouTube video by Numberphile.
Wraps original C code by Mario dos Reis, September 2003.
https://stat.ethz.ch/pipermail/r-help/2003-October/039773.html http://people.cryst.bbk.ac.uk/~fdosr01/Rfractals/index.html
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