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The ideas behind fractal geometry came out of work undertaken in the 19th century by mathematicians like Bernard Bolzano, Bernhard Riemann and Karl Weierstrass. They were studying functions which were continuous [everywhere] but not differentiable [almost anywhere]. The term "fractal" was first used by a modern mathematician called Benoit Mandelbrot.
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When was The Fractal Geometry of Nature created?
The Fractal Geometry of Nature was created in 1982.
What mathematics is involved in 3d snowflake?
Probably fractal geometry.
What is the mathematical basis of fractals?
A fractal is a geometric shape that when zoomed in on, will look approximately the same as it did before. Fractal geometry is a more complex version of regular Euclidean geometry. Euclidean geometry included just circles, squares, triangles, hexagons, octagons and all other regular shapes. Fractal geometry is the study of fractals and all of its components. Fractal geometry, out of all of its other uses, is mainly used to describe every other shape possible that isn’t classified into regular Euclidean geometry. Although not many people know what a fractal is, they encounter them on a regular basis and fractals have many uses all of which are extremely overlooked by many people.
Who was the mathematician best known for developing fractal geometry?
Benoit Mandelbrot
Who developed analytical geometry?
René Descartes developed analytic geometry
Who discovered fractals?
Benoît B. Mandelbrot[ is a French mathematician, best known as the father of fractal geometry
How did fractal geometry impact technology?
Fractal geometry has significantly influenced technology by providing tools for modeling complex, irregular structures found in nature, such as coastlines, clouds, and mountains. This has enhanced fields like computer graphics, where fractal algorithms are used to create realistic textures and landscapes in video games and simulations. Additionally, fractals have applications in telecommunications, improving signal processing and antenna design by optimizing bandwidth and efficiency. Overall, the principles of fractal geometry have led to advances in various technological domains, enabling more efficient and innovative solutions.
What has the author Robert J MacG Dawson written?
Robert J. MacG Dawson has written: 'Convex and fractal geometry' -- subject(s): Convex geometry, Fractals
What kinds of discoveries did Hellenistic scholars make?
They developed several kinds of mathematics, Astronomy, and geometry
Who developed basic geometry?
Euclid
What is the smallest shape in geometry?
A point. It has zero dimensions. It has no length and no width - only a position.
How would you go about making a 3D model of the game Chaos the one based on fractal geometry?
I would suggest using a 3d printer and thingiverse.
