{"id":797,"date":"2011-11-02T19:26:36","date_gmt":"2011-11-03T00:26:36","guid":{"rendered":"http:\/\/sites.williams.edu\/Morgan\/?p=797"},"modified":"2011-11-22T11:29:17","modified_gmt":"2011-11-22T16:29:17","slug":"the-story-of-the-contractor-and-the-hexagonal-tiles","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/Morgan\/2011\/11\/02\/the-story-of-the-contractor-and-the-hexagonal-tiles\/","title":{"rendered":"The Story of the Contractor and the Hexagonal Tiles"},"content":{"rendered":"<p>After Hales proved in 1999 the Hexagonal Honeycomb Conjecture\u2014that regular hexagons provide the least-perimeter, minimal-interface way to tile the plane with unit areas\u2014I decided I wanted hexagonal tiles for my kitchen:<\/p>\n<p><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2011\/11\/P1010002.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-798\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2011\/11\/P1010002-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2011\/11\/P1010002-225x300.jpg 225w, https:\/\/sites.williams.edu\/Morgan\/files\/2011\/11\/P1010002-768x1024.jpg 768w, https:\/\/sites.williams.edu\/Morgan\/files\/2011\/11\/P1010002.jpg 1080w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>In the middle of the job, the contractor ran out of grout for the interfaces between the tiles. He had an excuse: he explained that hexagonal tiles apparently required more grout! That was the wrong time and place for that excuse. I had to respond: &#8220;Actually&#8230;&#8221;.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>After Hales proved in 1999 the Hexagonal Honeycomb Conjecture\u2014that regular hexagons provide the least-perimeter, minimal-interface way to tile the plane with unit areas\u2014I decided I wanted hexagonal tiles for my kitchen: In the middle of the job, the contractor ran out of grout for the interfaces between the tiles. He had an excuse: he explained [&hellip;]<\/p>\n","protected":false},"author":269,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14042,14043],"tags":[],"class_list":["post-797","post","type-post","status-publish","format-standard","hentry","category-general-interest","category-math"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/797","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/269"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=797"}],"version-history":[{"count":4,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/797\/revisions"}],"predecessor-version":[{"id":801,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/797\/revisions\/801"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/categories?post=797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/tags?post=797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}