Symmetric fractal trees in three dimensions

نویسندگان

  • R. M. Frongillo
  • G. Iovane
چکیده

In this paper, we classify and describe a method for constructing fractal trees in three dimensions. We explore certain aspects of these trees, such as space-filling and self-contact. 2006 Published by Elsevier Ltd.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Transmission properties of one dimensional fractal structures

In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...

متن کامل

Definition of geometric space around analytic fractal trees using derivative coordinate funtions

The concept of derivative coordinate functions proved useful in the formulation of analytic fractal functions to represent smooth symmetric binary fractal trees [1]. In this paper we introduce a new geometry that defines the fractal space around these fractal trees. We present the canonical and degenerate form of this fractal space and extend the fractal geometrical space to R explicitly and R ...

متن کامل

Fractal dimension of backbone of Eden trees.

We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dynamical exponent z. In two dimensions, it gives fractal dimension of backbone equal to 4/3 and spectral dimension of trees equal to 5/4. In three dimensions, it provides us a new way to estimate z numerically. We get z = 1.617± 0.004. Dense branching patterns are found in many different physical s...

متن کامل

Pedotransfer functions for estimating soil moisture content using fractal parameters in Ardabil province

Extended abstract 1- Introduction Soil moisture curve is an important characteristic of soil and its measurement is necessary for determining soil available water content for plant, evapotranspiration and irrigation planning. Direct measurements of soil moisture coefficients are time-consuming and costly. But it is possible to estimate these characteristics from readily available soil propert...

متن کامل

Generalized Fractal Views: A Fractal-Based Method for Controlling Information Display

ion level high low Fig. 1. Generations of triadic Koch curve. By changing the scale, its abstraction level also changes. 1). This approximation, by changing the scale, can also be seen when we process digital images and so on. We call this approximation mechanism fractal views. The information structures used in computers, such as the directory structure of UNIX 2 , are generally represented as...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006