On the Aesthetics of Sierpinski Gaskets Formed from Large Pascal's Triangles
Bibliographic Data
| ID | 10272896 |
|---|---|
| Authors | Clifford A Pickover (corresponding author) |
| Year | 1990 |
| Volume | 23 |
| Issue | 4 |
| Pages | 411 |
| Publication date | 1990-01-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Leonardo (JOURNAL) |
| Journal identifiers | ISSN: 0024-094X • E-ISSN: 1530-9282 |
| Publisher | JSTOR (PUBLISHER) |
| DOI | 10.2307/1575344 |
| OpenAlex | W2324441438 |
| Language | EN |
| References cited | 1 |
The mathematical characterization of patterns in Pascal’s triangle is useful and can be achieved by a variety of brute-force computations, but sometimes at a cost of the loss of an intuitive feeling for the regularities and irregularities in the structure. The graphic and mathematical approach described here reveals a visually striking and intricate class of patterns that make up a family of regular fractal networks known as Sierpinski gaskets. The figures indicate self-similarity of the gasket structures for several orders of dilational invariance
Aesthetics · Art · Composite material · Fractal · Gasket · Mathematical analysis · Pascal (unit) · Sierpinski triangle · Computer Science · Materials Science · Mathematical Dynamics and Fractals · Mathematics · Theoretical and Computational Physics · Topological and Geometric Data Analysis
| Citation velocity | historical |
|---|---|
| Highly cited | No |