Abstract
The iterative procedure of removing “almost everything” from a triangleultimately leading to the Sierpinski’s gasketSis well-known. But what is in fact leftwhen almost everything has been taken out? Using the Sir Pinski’s game describedby Schroeder [4], we identify two dual sets of invariant points in this exquisite game,and from these we identify points left over in Sierpinski gasket. Our discussion alsoshows that the chaos game does not generate the Sierpinski gasket. It generates anapproximation or, at most, a subset ofS.
| Original language | English |
|---|---|
| Pages (from-to) | 77-90 |
| Number of pages | 14 |
| Journal | Chaotic Modeling and Simulation |
| Issue number | 1 |
| Publication status | Published - 2011 |
| Event | 4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011 - Agios Nikolaos, Crete, Greece Duration: 31 May 2011 → 3 Jun 2011 |
Keywords
- Sierpinski gasket
- Sierpinski points
- Fractals
- Sir Pinski game
- Chaos game
- Self-similarity
- Periodicity