On a new class of planar fractals: the Pascal-Sierpinski gaskets
N S Holter; A Lakhtakia; V K Varadan; V V Varadan; R Messier; N S Holter; Lab. for Electromagnetic & Acoustic Res., Pennsylvania State Univ., University Park, PA, USA; A Lakhtakia; Lab. for Electromagnetic & Acoustic Res., Pennsylvania State Univ., University Park, PA, USA; V K Varadan; Lab. for Electromagnetic & Acoustic Res., Pennsylvania State Univ., University Park, PA, USA; V V Varadan; Lab. for Electromagnetic & Acoustic Res., Pennsylvania State Univ., University Park, PA, USA; R Messier; Lab. for Electromagnetic & Acoustic Res., Pennsylvania State Univ., University Park, PA, USA
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1986-06-21
Аннотация:
A new class of planar fractals called the Pascal-Sierpinski gaskets is described, of which the well known Sierpinski gasket is a special case. Some of these gaskets are true Mandelbrot fractals possessing non-integral dimensions as well as self-similarity; the remaining ones are not self-similar, but appear to have nonintegral dimensions.
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