Data · dataset · 2024
Supplementary code for the article: Minimum Modulus Visualization of Algebraic Fractals
Listed in e-cienciaDatos
Description of the dataset Fractals are a family of shapes formed by irregular and fragmented patterns.
Description
They can be classified into two main groups: geometric and algebraic. Whereas the former are characterized by a fixed geometric replacement rule, the latter are defined by a recurrence function in the complex plane.
The classical method for visualizing algebraic fractals considers the sequence of complex numbers originated from each point in the complex plane. Thus, each original point is colored depending on whether its generated sequence escapes to infinity. The present work introduces a novel visualization method for algebraic fractals.
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This method colors each original point by taking into account the complex number with minimum modulus within its generated sequence. The advantages of the novel method are twofold: on the one hand, it preserves the fractal view that the classical method offers of the escape set boundary and, on the other hand, it additionally provides interesting visual details of the prisoner set (the complement of the escape set). The novel method is comparatively evaluated with other classical and non-classical visualization methods of fractals, giving rise to aesthetic views of prisoner sets.
Links
Where it is published
- Dataverse dataset page edatos.consorciomadrono.es/dataset.xhtml?persistentId=doi%3A10.21950%2FH1OBX1 ↗
landing page · from edatos consorciomadrono es
- DOI doi.org/10.21950/h1obx1 ↗
DOI / persistent id · from edatos consorciomadrono es
Catalogue records · 1
- Dataverse API edatos.consorciomadrono.es/api/datasets/:persistentId/?persistentId=doi%3A10.21950%2FH1OB… ↗
metadata API · from edatos consorciomadrono es
Topics
- Stated by source
- Ciencias de la información y computación
Provenance · 1 source records, 7 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| e-cienciaDatos | doi:10.21950/H1OBX1 | 13 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| concepts[field].dataverse_subject:ciencias-de-la-informaci-n-y-computaci-n | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 | /subjects |
| created_date | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 | |
| description | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 | /description |
| publication_date | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 | |
| title | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 | /name |
| updated_date | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 | |
| version_label | source · edatos consorciomadrono es | connector:edatos_consorciomadrono_es@1.0.0 |