Package 'faroutman'

shiny fractal viewer

Description

Shiny Fractal Viewer.

Legal Mumbo Jumbo

faroutman is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.

Note

This package is maintained as a hobby.

Author(s)

Steven E. Pav [email protected]

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News for package 'faroutman':

Description

News for package ‘faroutman’

faroutman Initial Version 0.1.0 (2021-04-01)

• first CRAN release.

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fractal_app .

Description

A shiny app to view fractals.

Usage

fractal_app()

Value

a shiny app.

Author(s)

Steven E. Pav [email protected]

Examples

## Not run: 
fractal_app()

## End(Not run)

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Mandelbrot escape function

Description

Compute the Mandelbrot set.

Compute the Fibonacci set.

Compute the Cosine set.

Compute the Exp set.

Compute the Burning Ship fractal set.

Usage

mandelbrot_esc(x, y, maxit = 128L, escape = 4)

fibonacci_esc(x, y, maxit = 128L, escape = 4)

cosine_esc(x, y, maxit = 128L, escape = 987)

exp_esc(x, y, maxit = 128L, escape = 2500)

burning_ship_esc(x, y, maxit = 128L, escape = 4)

Arguments

x	the real coordinates
y	the imaginary coordinates
maxit	the maximum iterations to consider
escape	the condition to determine escape, in squared distance units.

Details

Computes the iterations required to escape based on $z_n \leftarrow z_{n-1}^2 + c$ given input $c$.

Computes the iterations required to escape based on $z_n \leftarrow z_{n-1}^2 + z_{n-2} + c$ given input $c$.

Computes the iterations required to escape based on $z_n \leftarrow cos(z_{n-1}) + c$ given input $c$.

Computes the iterations required to escape based on $z_n \leftarrow exp(z_{n-1}) + c$ given input $c$.

Computes the iterations required to escape based on $z_n \leftarrow \left(|Re(z_{n-1})| + i |Im(z_{n-1})|\right)^2 + c$ given input $c$.

Author(s)

Steven E. Pav [email protected]

References

Wikipedia contributors, "Burning Ship fractal," Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/w/index.php?title=Burning_Ship_fractal&oldid=1145232996 (accessed March 27, 2023).

See Also

https://math.stackexchange.com/a/5705

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