Search Results: 'Fractal Curves'

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8 results for "Fractal Curves"
The Family Tree of Fractal Curves By Jeffrey Ventrella
Paperback: $20.00
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This book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandelbrot's original book. Many new fractal... More > curves are introduced. The taxonomy is based upon the Gaussian integers and the Eisenstein integers - each forming a lattice (square and triangular). These lattices have algebraic properties, which allows number theory to be used in describing and classifying these curves. This work has been under development for over 30 years. An earlier version of this taxonomy is described in the book "Brain-filling Curves", also by Jeffrey Ventrella. More on plane-filling curves can be found at fractalcurves.com< Less
Brainfilling Curves - A Fractal Bestiary By Jeffrey Ventrella
Paperback: List Price: $65.20 $48.90 | You Save: 25%
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* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color images * An in-depth taxonomy of... More > Koch-constructed Fractal Curves * An intuitive introduction to Koch construction * A must-read for anyone interested in fractal geometry< Less
Fractals and how to draw them By Oliver Linton
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A detailed guide explaining the principles behind the generation of the major classes of fractal images. Using many illustrations and example computer code this book will show you how to use... More > recursion to draw a Koch snowflake; how to draw the Peano-Gosper curve using Lindenmayer formulae; how to draw Hopalong fractals such as the Barnsley fern and the Tinkerbell fractal, and how to draw Julia sets and the famous Mandelbrot map.< Less
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
Paperback: $18.95
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The book “Lunda Geometry” explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author’s research of ‘sona’,... More > illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed. Several chapters were published in journals like ‘Computers & Graphics’ (Oxford), ‘Visual Mathematics’ (Belgrade), and ‘Mathematics in School’ (UK). (198 pp.)< Less
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
eBook (PDF): $4.95
The book “Lunda Geometry” explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author’s research of ‘sona’,... More > illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed. Several chapters were published in journals like ‘Computers & Graphics’ (Oxford), ‘Visual Mathematics’ (Belgrade), and ‘Mathematics in School’ (UK). (198 pp.)< Less
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
eBook (ePub): $4.95
The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations... More > traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed. Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK). (198 pp.)< Less
Sixteen Variations on a Single Theme By Kerry Mitchell
Paperback: $14.95
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This book presents 16 images that are variations on a single theme of the Hilbert curve fractal. Also included are brief discussions of the curve and the methods by which the variations were... More > generated.< Less
Singing the Universe Awake By Laurie Riley
Paperback: $16.00
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Exploring the connection of music to science and spirit, using tangible concepts soundly rooted in science. Fractals, frequency, symbols, Pythagorean concepts, the Golden Mean, the Fibonacci series,... More > lissajous figures, Cymatics, the harmonic curve, circle of fifths, and much more.< Less

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