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Mandelbrot set.
Example:
This program is time consuming because it must make a lot of operations; the computing time is also related with the number of grid points.
(%i1) load("fractals")$
(%i2) plot3d (mandelbrot_set, [x, -2.5, 1], [y, -1.5, 1.5],
                [gnuplot_preamble, "set view map"],
                [gnuplot_pm3d, true],
                [grid, 150, 150])$
Julia sets.
This program is time consuming because it must make a lot of operations; the computing time is also related with the number of grid points.
Example:
(%i1) load("fractals")$
(%i2) plot3d (julia_set, [x, -2, 1], [y, -1.5, 1.5],
                [gnuplot_preamble, "set view map"],
                [gnuplot_pm3d, true],
                [grid, 150, 150])$
See also julia_parameter.
Default value: %i
Complex parameter for Julia fractals.
Its default value is %i; we suggest the values -.745+%i*.113002, 
-.39054-%i*.58679, -.15652+%i*1.03225, -.194+%i*.6557 and 
.011031-%i*.67037.
While function julia_set implements the transformation
julia_parameter+z^2, function julia_sin implements
julia_parameter*sin(z). See source code for more details.
This program runs slowly because it calculates a lot of sines.
Example:
This program is time consuming because it must make a lot of operations; the computing time is also related with the number of grid points.
(%i1) load("fractals")$
(%i2) julia_parameter:1+.1*%i$
(%i3) plot3d (julia_sin, [x, -2, 2], [y, -3, 3], 
                [gnuplot_preamble, "set view map"],
                [gnuplot_pm3d, true],
                [grid, 150, 150])$
See also julia_parameter.
Next: Definitions for Koch snowflakes, Previous: Definitions for IFS fractals, Nach oben: Top [Inhalt][Index]