{"id":910,"date":"2026-07-02T08:09:46","date_gmt":"2026-07-02T08:09:46","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/a-new-type-of-tessellations-in-the-poincare-model-of-hyperbolic-geometry\/"},"modified":"2026-07-02T08:09:46","modified_gmt":"2026-07-02T08:09:46","slug":"a-new-type-of-tessellations-in-the-poincare-model-of-hyperbolic-geometry","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/en\/a-new-type-of-tessellations-in-the-poincare-model-of-hyperbolic-geometry\/","title":{"rendered":"A new type of tessellations in the Poincar\u00e9 model of hyperbolic geometry"},"content":{"rendered":"<p><em>Miroslava Tkadlecov\u00e1<\/em><br \/><small>Mendelova univerzita v Brn\u011b, Brno<\/small><\/p>\n<p>In 2023, an aperiodic monotile was introduced: a shape that admits a tiling of the Euclidean plane, but the tessellation is never periodic. The first version of an aperiodic monotile was based on a triangular tiling. Similar triangular tilings also exist in the hyperbolic plane. This article is about searching for such an aperiodic monotile in the Poincar\u00e9 model of hyperbolic geometry.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Miroslava Tkadlecov\u00e1Mendelova univerzita v Brn\u011b, Brno In 2023, an aperiodic monotile was introduced: a shape that admits a tiling of the Euclidean plane, but the tessellation is never periodic. The first version of an aperiodic monotile was based on a triangular tiling. Similar triangular tilings also exist in the hyperbolic plane. This article is about [&hellip;]<\/p>\n","protected":false},"author":46,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-910","post","type-post","status-publish","format-standard","hentry","category-presentations"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/910","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/users\/46"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/comments?post=910"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/910\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/media?parent=910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/categories?post=910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/tags?post=910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}