{"id":55,"date":"2015-10-02T12:27:31","date_gmt":"2015-10-02T12:27:31","guid":{"rendered":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/?page_id=55"},"modified":"2015-10-17T17:36:32","modified_gmt":"2015-10-17T17:36:32","slug":"substitution-editor","status":"publish","type":"page","link":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/substitution-editor\/","title":{"rendered":"Substitution Editor"},"content":{"rendered":"<p><a href=\"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/files\/2015\/10\/substitution-editor-sample.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/files\/2015\/10\/substitution-editor-sample-1024x600.png\" alt=\"substitution-editor-sample\" width=\"584\" height=\"342\" class=\"alignnone size-large wp-image-56\" srcset=\"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/files\/2015\/10\/substitution-editor-sample-1024x600.png 1024w, https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/files\/2015\/10\/substitution-editor-sample-300x176.png 300w, https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/files\/2015\/10\/substitution-editor-sample-500x293.png 500w, https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/files\/2015\/10\/substitution-editor-sample.png 1918w\" sizes=\"auto, (max-width: 584px) 100vw, 584px\" \/><\/a><\/p>\n<p>Substitution Editor is a Java program that allows the user to create rhombic substitution tilings.  It is based on <a href=\"http:\/\/www.dmtcs.org\/dmtcs-ojs\/index.php\/dmtcs\/article\/view\/2702\" target=\"_blank\">this paper in Discrete Mathematics &amp; Theoretical Computer Science<\/a>.  <\/p>\n<p>The tiles are rhombs with angles that are integer multiples of 180\/N degrees, where N is an odd number (the selectable values of which are 5, 7, 9, 11, and 13).  There are (N &#8211; 1)\/2 such rhombs, and it is possible to arrange N copies of the one with angles (2,N-2,2,N-2) to form an N-pointed star.  For some inflation factors, it is possible to find substitution tilings in which these N-pointed stars actually appear.  <\/p>\n<p>Substitution Editor is an open-source project, and the code can be downloaded from <a href=\"https:\/\/github.com\/maloneyg\/Substitution-Editor\" target=\"_blank\">the Substitution Editor GitHub repository<\/a>.  There is also a more detailed <a href=\"http:\/\/maloneyg.github.io\/Substitution-Editor\/\" target=\"_blank\">Substitution Editor homepage hosted at GitHub Pages<\/a>.  <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Substitution Editor is a Java program that allows the user to create rhombic substitution tilings. It is based on this paper in Discrete Mathematics &amp; Theoretical Computer Science. The tiles are rhombs with angles that are integer multiples of 180\/N &hellip; <a href=\"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/substitution-editor\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1124,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-55","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/pages\/55","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/users\/1124"}],"replies":[{"embeddable":true,"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/comments?post=55"}],"version-history":[{"count":7,"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/pages\/55\/revisions"}],"predecessor-version":[{"id":64,"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/pages\/55\/revisions\/64"}],"wp:attachment":[{"href":"https:\/\/www.staff.ncl.ac.uk\/gregory.maloney\/wp-json\/wp\/v2\/media?parent=55"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}