Sierpinskitype
Sierpinskitype is a term used in fractal geometry to describe a family of self-similar sets that generalize the classic Sierpinski construction by varying the base shape, the removal pattern, and the scaling rules. It serves as a typology for describing different Sierpinski-inspired fractals within a unified framework.
A Sierpinskitype typically starts from a base shape, such as a polygon or polyhedron. At each iteration,
The classic Sierpinski triangle is a well-known Sierpinskitype: start with a triangle and remove the central
Sierpinskitypes exhibit self-similarity and fractal structure. Their Hausdorff dimension is influenced by the number of copies
Sierpinskitypes relate to other fractals such as the Sierpinski triangle and Sierpinski carpet. They appear in
Sierpinski triangle, Sierpinski carpet, fractal geometry, iterated function system.