This paper focuses on the original articles written by Waclaw Sierpinski in 1915, where he introduced the recursive structure that bears his name, the Sierpinski’s triangle. His first aim was to exhibit an example of a new set, a curve, traced starting from the geometry of the well-known triangle. The triangle, which embodies geometric recursion, was rigorously defined in 1915, but appeared also before Sierpinski, and is still a reference point for scientists.
Magrone, P. (2020). Sierpinski’s curve: a (beautiful) paradigm of recursion. In Proceedings, 19th Conference on Applied Mathematics Aplimat 2020 (pp.759-769). Bratislava : Slovak University of Technology in Bratislava, in Publishing house SPEKTRUM STU.
Sierpinski’s curve: a (beautiful) paradigm of recursion
paola magrone
2020-01-01
Abstract
This paper focuses on the original articles written by Waclaw Sierpinski in 1915, where he introduced the recursive structure that bears his name, the Sierpinski’s triangle. His first aim was to exhibit an example of a new set, a curve, traced starting from the geometry of the well-known triangle. The triangle, which embodies geometric recursion, was rigorously defined in 1915, but appeared also before Sierpinski, and is still a reference point for scientists.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
