{"id":136,"date":"2009-05-07T20:20:40","date_gmt":"2009-05-08T01:20:40","guid":{"rendered":"http:\/\/www.cartogrammar.com\/blog\/?p=136"},"modified":"2009-08-19T08:51:43","modified_gmt":"2009-08-19T13:51:43","slug":"accidental-map-projections","status":"publish","type":"post","link":"https:\/\/andywoodruff.com\/blog\/accidental-map-projections\/","title":{"rendered":"Accidental map projections"},"content":{"rendered":"<p>Oops, this isn&#8217;t what an azimuthal equidistant map projection is supposed to look like.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/azimuthal.jpg\" alt=\"Azimuthal equidistant projection mistake\" \/><\/p>\n<p>I&#8217;ve been working (occasionally fighting) with map projections a lot recently, pumping latitude and longitude coordinates through equations that mathemagically shape the world.  Occasionally a small error in a projection equation results in an incorrect but fascinating map.  So why not try deliberately introducing some errors and see what happens?  Here are some maps I created by tossing random modifications into ordinary map projection equations.<\/p>\n<p>Take a simple plate carr\u00e9e projection, and give it a couple of twists.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/equirectangular.png\" alt=\"Twisted plate carr\u00e9e map projection\" \/><\/p>\n<p>Winkel Tripel becomes some sort of beverage vessel.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/winkel.png\" alt=\"Winkel Tripel snifter projection\" \/><\/p>\n<p>There&#8217;s a certain elegance to this one, an Albers equal area conic projection, also with a couple of twists.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/albers.png\" alt=\"Twisted Albers projection\" \/><\/p>\n<p>We can also take that a bit further.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/albers2.png\" alt=\"More twisted Albers projection\" \/><\/p>\n<p>Put some ripples in this (very modified) sinusoidal map projection.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/sinusoidal.png\" alt=\"Wavy sinusoidal projection\" \/><\/p>\n<p>My favorite, a warped polyconic projection.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/polyconic.png\" alt=\"Warped polyconic projection\" \/><\/p>\n<p>But most of the time, messing with a projection just breaks the world.<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.cartogrammar.com\/images\/albers3.png\" alt=\"Screwed up projection\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Oops, this isn&#8217;t what an azimuthal equidistant map projection is supposed to look like. I&#8217;ve been working (occasionally fighting) with map projections a lot recently, pumping latitude and longitude coordinates through equations that mathemagically shape the world. Occasionally a small error in a projection equation results in an incorrect but fascinating map. So why not [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[42,21],"class_list":["post-136","post","type-post","status-publish","format-standard","hentry","category-my-maps","tag-math","tag-projections"],"_links":{"self":[{"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/posts\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/comments?post=136"}],"version-history":[{"count":14,"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/posts\/136\/revisions"}],"predecessor-version":[{"id":363,"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/posts\/136\/revisions\/363"}],"wp:attachment":[{"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/media?parent=136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/categories?post=136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/andywoodruff.com\/blog\/wp-json\/wp\/v2\/tags?post=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}