{"id":7742,"date":"2023-01-19T14:04:28","date_gmt":"2023-01-19T21:04:28","guid":{"rendered":"https:\/\/mattfife.com\/?p=7742"},"modified":"2023-01-19T14:08:48","modified_gmt":"2023-01-19T21:08:48","slug":"really-useful-caustics","status":"publish","type":"post","link":"https:\/\/mattfife.com\/?p=7742","title":{"rendered":"Really useful caustics"},"content":{"rendered":"\n<p>With the right set of curvatures, it\u2019s possible to make a clear object project an image that\u2019s not visible until light shines through it. Science educator\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/www.youtube.com\/channel\/UCEIwxahdLz7bap-VDs9h35A\" target=\"_blank\">Steve Mould<\/a>\u00a0explains the optical and mathematical properties of these uniquely engineered lenses. It turns out the problem has a lot to do with moving the minimal amount of dirt to build a structure and was studied extensively by mathematicians who called it <a href=\"https:\/\/kantorovich.org\/post\/ot_intro\/\">optimal transport<\/a>. These <a href=\"https:\/\/en.wikipedia.org\/wiki\/Transportation_theory_(mathematics)\" data-type=\"URL\" data-id=\"https:\/\/en.wikipedia.org\/wiki\/Transportation_theory_(mathematics)\" target=\"_blank\" rel=\"noreferrer noopener\">transport theory<\/a> problems have a <a rel=\"noreferrer noopener\" href=\"https:\/\/en.wikipedia.org\/wiki\/Caustic_(optics)\" data-type=\"URL\" data-id=\"https:\/\/en.wikipedia.org\/wiki\/Caustic_(optics)\" target=\"_blank\">number of solutions and applications<\/a>.<\/p>\n\n\n\n<p>A similar effect can be created with mirrors and reflected light.\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/rayform.ch\/\" target=\"_blank\">Rayform<\/a>\u00a0specializes in the technique for a wide variety of luxury and architectural items.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/wk67eGXtbIw?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>With the right set of curvatures, it\u2019s possible to make a clear object project an image that\u2019s not visible until light shines through it. Science educator\u00a0Steve Mould\u00a0explains the optical and mathematical properties of these uniquely engineered lenses. It turns out the problem has a lot to do with moving the minimal amount of dirt to build a structure and was studied extensively by mathematicians who called it optimal transport. These transport theory problems have a number of solutions and applications&#8230;.<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/mattfife.com\/?p=7742\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[9,5],"tags":[],"class_list":["post-7742","post","type-post","status-publish","format-standard","hentry","category-cool","category-technical"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4WECr-20S","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/7742","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7742"}],"version-history":[{"count":5,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/7742\/revisions"}],"predecessor-version":[{"id":7747,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/7742\/revisions\/7747"}],"wp:attachment":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7742"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7742"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7742"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}