The Mandelbrot Fractal, Mandelbrot set



The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set., Mandelbrot set, natural history stock photograph, photo id 10374Add To Light Table
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The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10368
The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10369
Detail within the Mandelbrot set fractal.  This detail is found by zooming in on the overall Mandelbrot set image, finding edges and buds with interesting features.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10375
Detail within the Mandelbrot set fractal.  This detail is found by zooming in on the overall Mandelbrot set image, finding edges and buds with interesting features.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10378
Detail within the Mandelbrot set fractal.  This detail is found by zooming in on the overall Mandelbrot set image, finding edges and buds with interesting features.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10383
Detail within the Mandelbrot set fractal.  This detail is found by zooming in on the overall Mandelbrot set image, finding edges and buds with interesting features.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10391
Detail within the Mandelbrot set fractal.  This detail is found by zooming in on the overall Mandelbrot set image, finding edges and buds with interesting features.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #10395
The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #18729
The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #18731
Fractal design.  Fractals are complex geometric shapes that exhibit repeating patterns typified by <i>self-similarity</i>, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set. Image #18732

The Mandelbrot Fractal. Fractals are complex geometric shapes that exhibit repeating patterns typified by self-similarity, or the tendency for the details of a shape to appear similar to the shape itself. Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves. Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns. The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set.

Stock Photo: 10374
Species: Mandelbrot Fractal, Mandelbrot set
Format: Digital 1:1
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Keywords: abstract, abstracts and patterns, fractal, fractal detail, fractal picture, mandelbrot fractal, mandelbrot set

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Updated: July 16, 2020

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