THE SIERPINSKI TRIANGLE PLANE

被引：3
|
作者：
Ettestad, David [1 ]
Carbonara, Joaquin [2 ]
机构：
[1] SUNY Buffalo State, Dept Phys, 1300 Elmwood Ave, Buffalo, NY 14222 USA
[2] SUNY Buffalo State, Dept Math, 1300 Elmwood Ave, Buffalo, NY 14222 USA
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2018年 / 26卷 / 01期
关键词：
Fractals; Fractal Geometry; Sierpinski Triangle; HAUSDORFF MEASURE; GASKET;
D O I：
10.1142/S0218348X18500032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Sierpinski Triangle (ST) is a fractal which has Haussdorf dimension log(2) 3 approximate to 1.585 that has been studied extensively. In this paper, we introduce the Sierpinski Triangle Plane (STP), an infinite extension of the ST that spans the entire real plane but is not a vector subspace or a tiling of the plane with a finite set of STs. STP is shown to be a radial fractal with many interesting and surprising properties.
引用
收藏
页数：11
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