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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 [Contents][Index]