Creating Fractals

Description

Fractals are the name given to certain types of iterated equations that produce very strange results and are capable of creating unusual and beautiful patterns. Creating Fractals describes the characteristics and mathematical background of fractals and shows the reader how the accompanying fractal-generating program is used to produce thousands of different kinds of fractals, to enlarge them, to color them, and to save them–without any knowledge of computers or programming. The program works with any computer using Windows. In addition to producing artistic effects, the reader can gain an understanding of how each type of fractal is created and how it might be used to treat natural phenomena, e.g., the turbulence of liquids, the behavior of the stock market, and the compression of graphic images. Mathematical terminology is explained in elementary terms.

描述

分形是指某些類型的迭代方程式所產生的非常奇特的結果，能夠創造出不尋常且美麗的圖案。《創造分形》描述了分形的特性和數學背景，並向讀者展示了如何使用附帶的分形生成程式來產生成千上萬種不同類型的分形，放大它們，給它們上色，並保存它們 - 而不需要任何關於電腦或編程的知識。該程式可在使用Windows的任何電腦上運行。除了產生藝術效果外，讀者還可以了解每種類型的分形是如何創建的，以及如何應用於處理自然現象，例如液體的湍流、股市的行為和圖像的壓縮。數學術語以基本術語解釋。