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On the contraction ratio of iterated function systems whose attractors are Sierpinski n-gons
- Source :
- Chaos, Solitons & Fractals. 150:111140
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- In this paper we apply the chaos game to n -sided regular polygons to generate fractals that are similar to the Sierpinski gasket. We show that for each n -gon, there is an exact ratio that will yield a perfect gasket. We then find a formula for this ratio that depends only on the angle π / n .
- Subjects :
- Yield (engineering)
General Mathematics
Applied Mathematics
Gasket
Regular polygon
General Physics and Astronomy
Chaos game
Statistical and Nonlinear Physics
Computer Science::Computational Geometry
Sierpinski triangle
Combinatorics
Iterated function system
Fractal
Attractor
Condensed Matter::Statistical Mechanics
Mathematics::Metric Geometry
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 150
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........c766c2a58e06a4f78ca074b2c524b6c6