GEMATMW - Fractals

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What is a fractal?

Back

A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity.

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What is the Koch Snowflake?

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The Koch Snowflake is a fractal curve that starts with an equilateral triangle and adds smaller triangles to each side, creating a snowflake-like shape.

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Where can fractal patterns be found in nature?

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Fractal patterns can be found in various natural forms, such as fern leaves, tree branches, and blood vessels.

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What is the basic shape used in an Apollonian gasket?

Back

The basic shape used in an Apollonian gasket is a circle.

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What type of triangle is used in the Sierpinski Triangle?

Back

The Sierpinski Triangle uses an equilateral triangle.

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Who is known as 'The Father of Fractal Geometry'?

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Benoit Mandelbrot is known as 'The Father of Fractal Geometry'.

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What is self-similarity in fractals?

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Self-similarity is a property of fractals where a shape can be divided into parts that are similar to the whole shape.

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Can fractals be found in art?

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Yes, fractals are often used in art to create visually appealing patterns and designs.

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What is the Mandelbrot set?

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The Mandelbrot set is a famous fractal defined by a simple mathematical formula, known for its intricate and infinitely complex boundary.

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What is a fractal dimension?

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Fractal dimension is a measure that describes how completely a fractal appears to fill space as you zoom in on it.