The Design of a Fractal-based Number Generator

Abstract

This study is to investigate a number generator based on the curve or fold input and use it to simulate and verify the real world events. The main technology is to use and modify the principle and characteristics of fractal interpolation, in combination of our developed Affine Function of Vertical Distance Selection Method and Initial Point Selection Method, as well as various linear data characteristics of the input curves and folds, in order to obtain a series of numbers consistent with the undulation of these curves or folds. Since this method is produced based on Fractal related principles, we call it Fractal Number Generator. From the similarity comparison result between the simulation experimental data and original input data, it can be sure that no matter in simple statistical curve or complex statistical curve, Fractal Number Generator is of extremely high similarity with the original input curves or folds, so Fractal Number Generator can really have the simulation experimental data much more consistent with the curve distribution of historical data and endow the simulation process and result with more reference value.