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 *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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 10423

Species: Mandelbrot fractal,

Image ID: 10423

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18724

Species: Mandelbrot fractal,

Image ID: 18724

Fractal design. 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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18725

Species: Mandelbrot fractal,

Image ID: 18725

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18726

Species: Mandelbrot fractal,

Image ID: 18726

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18727

Species: Mandelbrot fractal,

Image ID: 18727

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18728

Species: Mandelbrot fractal,

Image ID: 18728

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18730

Species: Mandelbrot fractal,

Image ID: 18730

Fractal design. 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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18733

Species: Mandelbrot fractal,

Image ID: 18733

Fractal design. 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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18734

Species: Mandelbrot fractal,

Image ID: 18734

Fractal design. 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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18735

Species: Mandelbrot fractal,

Image ID: 18735

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18736

Species: Mandelbrot fractal,

Image ID: 18736

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18738

Species: Mandelbrot fractal,

Image ID: 18738

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.

Species: Mandelbrot fractal,*Mandelbrot set*

Image ID: 18740

Species: Mandelbrot fractal,

Image ID: 18740

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All photographs copyright © Phillip Colla / Oceanlight.com, all rights reserved worldwide.

All photographs copyright © Phillip Colla / Oceanlight.com, all rights reserved worldwide.