Arithmetic-Analytic Representation of Peano Curve

In this work, we obtained a nonmatrix analytic expression for the generator of the Peano curve. Applying the iteration method of fractal, we established a simple arithmetic-analytic representation of the Peano curve as a function of ternary numbers. We proved that the curve passes each point in a un...

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Bibliographic Details
Main Authors: Guangjun Yang, Xiaoling Yang, Ping Wang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2019/6745202
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