Mandelbrot (ImageMandelbrotSource)
Representation (unsigned char) of the Mandlebrot set in up to 3 dimensions
The Mandelbrot source can be used to add a uniform rectilinear grid with scalar values derived from the Mandelbrot set to the 3D scene. The equation used is z = z^2 + C (where z and C are complex, and C is a constant). The scalar values in the grid are the number of iterations of the equation it takes for the magnitude of the value to become greater than 2. In the equation, the initial value of z is 0. By default, the real component of C is mapped onto the X axis; the imaginary component of C is mapped onto the Y axis; and the imaginary component of the initial value is mapped onto the Z axis. If a two-dimensional extent is specified, the resulting image will be displayed. If a three-dimensional extent is used, then the bounding box of the volume will be displayed. The output of the Mandelbrot source is image (uniform rectilinear) data.

PropertyDescriptionDefault Value(s)Restrictions
Maximum Number of Iterations
(MaximumNumberOfIterations)
The value of this property specifies the limit on computational iterations (i.e., the maximum number of iterations to perform to determine if the value will go above 2). Values less than 2.0 after the specified number of iterations are considered in the fractal set. 100

The value must be greater than or equal to 1 and less than or equal to 5000.

 
Origin CX
(OriginCX)
The four values of this property indicate (in order) the components of C (real and imaginary) and the components of the initial value, X (real and imaginary). -1.75 -1.25 0 0  
Projection Axes
(ProjectionAxes)
The three values in this property allow you to specify the projection from the 4D space used by the Mandelbrot set to the axes of the 3D volume. By default, the real component of C (represented by 0) is mapped to the X axis; the imaginary component of C (represented by 1) is mapped to the Y axis; and the real component of X, the initial value (represented by 2) is mapped to the Z axis. The imaginary component of X is represented by 3. All values entered must be between 0 and 3, inclusive. 0 1 2  
Size CX
(SizeCX)
The four values of this property indicate the length of the output in each of the four dimensions (the real and imaginary components of C and the real and imaginary components of X). The three dimensions specified in the Projection Axes property will determine which of these values specify the length of the axes in the output. 2.5 2.5 2 1.5  
Subsample Rate
(SubsampleRate)
This property specifies the rate at which to subsample the volume. The extent of the dataset in each dimension will be divided by this value. 1

The value must be greater than or equal to 1.

 
Whole Extent
(WholeExtent)
The six values in the property indicate the X, Y, and Z extent of the output data. The first two numbers are the minimum and maximum X extent; the next two are the minimum and maximum Y extent; and the final two are the minimum and maximum Z extent. The numbers are inclusive, so values of 0, 250, 0, 250, 0, 0 indicate that the dimensions of the output will be 251 x 251 x 1. 0 250 0 250 0 0