The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group
By constructing invariant mappings associated with wallpaper groups, this paper presents a simple and efficient method to generate colorful wallpaper patterns. Although the constructed mappings have simple form and only two parameters, combined with the color scheme of orbit trap algorithm, such map...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/7315695 |
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| _version_ | 1832563845106761728 |
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| author | Shihuan Liu Ming Leng Peichang Ouyang |
| author_facet | Shihuan Liu Ming Leng Peichang Ouyang |
| author_sort | Shihuan Liu |
| collection | DOAJ |
| description | By constructing invariant mappings associated with wallpaper groups, this paper presents a simple and efficient method to generate colorful wallpaper patterns. Although the constructed mappings have simple form and only two parameters, combined with the color scheme of orbit trap algorithm, such mappings can create a great variety of aesthetic wallpaper patterns. The resulting wallpaper patterns are further projected by central projection onto the sphere. This creates the interesting spherical patterns that possess infinite symmetries in a finite space. |
| format | Article |
| id | doaj-art-6639602dbb87449cb1f7c8cd66a66d8c |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6639602dbb87449cb1f7c8cd66a66d8c2025-02-03T01:12:22ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/73156957315695The Visualization of Spherical Patterns with Symmetries of the Wallpaper GroupShihuan Liu0Ming Leng1Peichang Ouyang2School of Mathematics & Physics, Jinggangshan University, Ji’an 343009, ChinaSchool of Mathematics & Physics, Jinggangshan University, Ji’an 343009, ChinaSchool of Mathematics & Physics, Jinggangshan University, Ji’an 343009, ChinaBy constructing invariant mappings associated with wallpaper groups, this paper presents a simple and efficient method to generate colorful wallpaper patterns. Although the constructed mappings have simple form and only two parameters, combined with the color scheme of orbit trap algorithm, such mappings can create a great variety of aesthetic wallpaper patterns. The resulting wallpaper patterns are further projected by central projection onto the sphere. This creates the interesting spherical patterns that possess infinite symmetries in a finite space.http://dx.doi.org/10.1155/2018/7315695 |
| spellingShingle | Shihuan Liu Ming Leng Peichang Ouyang The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group Complexity |
| title | The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group |
| title_full | The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group |
| title_fullStr | The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group |
| title_full_unstemmed | The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group |
| title_short | The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group |
| title_sort | visualization of spherical patterns with symmetries of the wallpaper group |
| url | http://dx.doi.org/10.1155/2018/7315695 |
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