The generalization of Sierpinski carpet and Sierpinski triangle in $n$-dimensional space
Differential Geometry
2017-11-22 v2
Abstract
We obtain a nature generalization for an affine Sierpinski carpet and Sierpinski triangle to -dimensional space, by using the generations and characterizations of affinely-equivalent Sierpinski carpet. Exactly, in this paper, a Menger sponge and Sierpinski simplex in -dimensional space could be drawn out clearly under an affine transformation. Furthermore, the method could be used to a much broader class in fractals.
Keywords
Cite
@article{arxiv.1702.04901,
title = {The generalization of Sierpinski carpet and Sierpinski triangle in $n$-dimensional space},
author = {Yun Yang and Yanhua Yu},
journal= {arXiv preprint arXiv:1702.04901},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1601.06530, arXiv:1609.02702