# mandelbrot

From future v1.16.0
by Henrik Bengtsson

##### Mandelbrot convergence counts

Mandelbrot convergence counts

- Keywords
- internal

##### Usage

`mandelbrot(...)`

##### Arguments

- Z
A complex matrix for which convergence counts should be calculated.

- xmid, ymid, side, resolution
Alternative specification of the complex plane

`Z`

, where`mean(Re(Z)) == xmid`

,`mean(Im(Z)) == ymid`

,`diff(range(Re(Z))) == side`

,`diff(range(Im(Z))) == side`

, and`dim(Z) == c(resolution, resolution)`

.- maxIter
Maximum number of iterations per bin.

- tau
A threshold; the radius when calling divergence (Mod(z) > tau).

##### Value

Returns an integer matrix (of class Mandelbrot) with non-negative counts.

##### Examples

```
# NOT RUN {
counts <- mandelbrot(xmid = -0.75, ymid = 0, side = 3)
str(counts)
# }
# NOT RUN {
plot(counts)
# }
# NOT RUN {
# }
# NOT RUN {
demo("mandelbrot", package = "future", ask = FALSE)
# }
# NOT RUN {
# }
```

*Documentation reproduced from package future, version 1.16.0, License: LGPL (>= 2.1)*

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