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- Publisher Website: 10.1512/iumj.1999.48.1612
- Scopus: eid_2-s2.0-0001904322
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Article: Geometry of Self-Affine Tiles I
| Title | Geometry of Self-Affine Tiles I |
|---|---|
| Authors | |
| Issue Date | 1999 |
| Citation | Indiana University Mathematics Journal, 1999, v. 48, n. 1, p. 1-23 How to Cite? |
| Abstract | For a self-similar or self-affine tile in ℝn we study the following questions: (1) What is the boundary? (2) What is the convex hull? We show that the boundary is a graph directed self-affine fractal, and in the self-similar case we give an algorithm to compute its dimension. We give necessary and sufficient conditions for the convex hull to be a polytope, and we give a description of the Gauss map of the convex hull. |
| Persistent Identifier | http://hdl.handle.net/10722/362960 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.272 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Strichartz, Robert S. | - |
| dc.contributor.author | Wang, Yang | - |
| dc.date.accessioned | 2025-10-10T07:43:43Z | - |
| dc.date.available | 2025-10-10T07:43:43Z | - |
| dc.date.issued | 1999 | - |
| dc.identifier.citation | Indiana University Mathematics Journal, 1999, v. 48, n. 1, p. 1-23 | - |
| dc.identifier.issn | 0022-2518 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/362960 | - |
| dc.description.abstract | For a self-similar or self-affine tile in ℝ<sup>n</sup> we study the following questions: (1) What is the boundary? (2) What is the convex hull? We show that the boundary is a graph directed self-affine fractal, and in the self-similar case we give an algorithm to compute its dimension. We give necessary and sufficient conditions for the convex hull to be a polytope, and we give a description of the Gauss map of the convex hull. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Indiana University Mathematics Journal | - |
| dc.title | Geometry of Self-Affine Tiles I | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1512/iumj.1999.48.1612 | - |
| dc.identifier.scopus | eid_2-s2.0-0001904322 | - |
| dc.identifier.volume | 48 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 1 | - |
| dc.identifier.epage | 23 | - |