noun
definition
A mathematical set that has a non-integer and constant Hausdorff dimension; a geometric figure that is self-similar at all scales.
definition
An object, system, or idea that exhibits a fractal-like property.
adjective
definition
Having the form of a fractal.
definition
Exhibiting a fractal-like property.
definition
Having a broken part
Examples of fractal in a Sentence
Click on an image to see each beautiful fractal in more detail.
Using the techniques of fractal geometry, which he himself invented, Mandelbrot believes he has finally realized his ambition.
A method of texture segmentation is introduced which is based on the Fractal Dimension.
Figure 3.19 - Difference maps showing difference between surfaces interpolated in each of the four profile directions and the original surface fractal.
A tantalizing glimpse of the axed V&A Spiral in the form of samples of the fractal tiles which would have covered the building.
The fractal structure of these signals can be reveal using the wavelet transform.
The system is embedded in a single spatiotemporal fractal structure (p. 172).
Describe how Lyapunov exponents can be used to determine the fractal dimension of a strange attractor in a dissipative system.
The original fractal, this is a pictorial representation of a complex equation to describe systems with a hierarchy of repeating patterns.
The most famous fractal is the Mandelbrot fractal that I suspect has some bearing on the form of the aura.
You might be amused by a photo, Alien; I think it's the first fractal to feature on the Mirror Project.
The approach assumes a self-similar fractal - this result suggests considerable approximations are involved in the application of box counting to discrete FBM.
The other dimension that is often spoken of is the fractal dimension which tells you about how complicated the structure is.