Credit: by Zhaoju Yang, Eran Lustig, Yaakov Lumer and Mordechai Segev
Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. The book provides a significant contribution to material already published about the beautiful mathematical objects drawn by computers using recursive or iterative algorithms. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. There are changes throughout the text in this updated edition, taking into account developments in the subject matter since 1990. Sections have been rewritten and are now clearer and more focused. The book also contains many good illustrations of fractals, including 16 color plates.
Illustrated tutorial for creating Julia and Mandelbrot Set fractals.
Another very useful application for fractal processes is to create 3D vegetation for your models. There are several very good commercial products which use algorithms to create plants, which combin…
Differential topology From Wikipedia, the free encyclopedia In mathematics , differential topology is the field deali...
The discovery (or invention) of topology, the new idea of space to summarise, is one of the most interesting examples of the profound repercussions that mathematical ideas will have on culture, art…
Torus fields have always been engendered in the forms of plasma fields, clouds of charge, structures of photons and even in some elevated forms of DNA, alphabet, symbolism are just to name a few. T…
Ayer comenzamos a elaborar un árbol pitagórico fractal de cartulina, con alumnos y alumnas de 2º y 3er ciclo de primaria (8-12 años) en el CEIP San Fernando de Almería. Siguiendo ese enlace veréis…
Frequently occuring in nature, minimal surfaces are defined as surfaces with zero mean curvature. These surfaces originally arose as surfaces that minimized total surface area subject to some cons…
Ayer comenzamos a elaborar un árbol pitagórico fractal de cartulina, con alumnos y alumnas de 2º y 3er ciclo de primaria (8-12 años) en el CEIP San Fernando de Almería. Siguiendo ese enlace veréis…
( Click on the image for a larger view. ) ( Click on the image for a larger view. ) ( Click on the image for a la...
Refraction experiments uncover phi proportions managing color logic. The mathematics are found to correspond to phi based electromagnetic wave damping.
Abstract Dancing of colored hypnotic lines with pure css Enjoy! 🍻 live demo: https://codepen.io/Tsankashvili/full/rpvZYE code here: https://codepen.io/Tsankashvili/pen/rpvZYE
South African researchers have claimed that the universe is governed by a 'golden ratio'. This is said to be 1.618 and causes similar geometric shapes that can be seen in objects across the cosmos.
