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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.<\/jats:p>","DOI":"10.1155\/2018\/7315695","type":"journal-article","created":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T23:33:41Z","timestamp":1518478421000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Visualization of Spherical Patterns with Symmetries of the Wallpaper Group"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3003-1919","authenticated-orcid":false,"given":"Shihuan","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ming","family":"Leng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0447-3190","authenticated-orcid":false,"given":"Peichang","family":"Ouyang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,2,12]]},"reference":[{"key":"e_1_2_9_1_2","first-page":"245","article-title":"Symmetry in the plane","volume":"2","author":"Fedorov E.","year":"1891","journal-title":"Proceedings of the Imperial St. Petersburg Mineralogical Society"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1524\/zkri.1924.60.1.278"},{"volume-title":"The Grammar of Ornament","year":"1910","author":"Owen J.","key":"e_1_2_9_3_2"},{"volume-title":"Handbook of Regular Patterns","year":"1981","author":"Stevens P. 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