{"id":2409,"date":"2016-09-17T08:09:53","date_gmt":"2016-09-17T16:09:53","guid":{"rendered":"http:\/\/blatner.com\/adam\/blog\/?p=2409"},"modified":"2016-09-17T08:09:53","modified_gmt":"2016-09-17T16:09:53","slug":"geometry-of-logarithmic-spirals","status":"publish","type":"post","link":"https:\/\/blatner.com\/adam\/blog\/?p=2409","title":{"rendered":"Geometry of Logarithmic Spirals"},"content":{"rendered":"<p>One of my low-priority hobbies is a bit of geometry, as it helps me contemplate the intricacies of God\u2019s creation. The phenomenon of \u201cgeometric spirals\u201d grabbed my attention recently. Both rectangles and&#160; triangles can be constructed so that their vertices describe a shrinking (or expanding) spiral. Here\u2019s the big picture: <\/p>\n<p><a href=\"http:\/\/blatner.com\/adam\/blog\/wp-content\/uploads\/2016\/09\/geometricspirals.jpg\"><img loading=\"lazy\" decoding=\"async\" title=\"geometricspirals\" style=\"border-top: 0px; border-right: 0px; background-image: none; border-bottom: 0px; padding-top: 0px; padding-left: 0px; border-left: 0px; display: inline; padding-right: 0px\" border=\"0\" alt=\"geometricspirals\" src=\"http:\/\/blatner.com\/adam\/blog\/wp-content\/uploads\/2016\/09\/geometricspirals_thumb.jpg\" width=\"600\" height=\"773\" \/><\/a><\/p>\n<p>Now, below is the spiral within the rectangle.<\/p>\n<p><a href=\"http:\/\/blatner.com\/adam\/blog\/wp-content\/uploads\/2016\/09\/geometricspirals2.jpg\"><img loading=\"lazy\" decoding=\"async\" title=\"geometricspirals2\" style=\"border-top: 0px; border-right: 0px; background-image: none; border-bottom: 0px; padding-top: 0px; padding-left: 0px; border-left: 0px; display: inline; padding-right: 0px\" border=\"0\" alt=\"geometricspirals2\" src=\"http:\/\/blatner.com\/adam\/blog\/wp-content\/uploads\/2016\/09\/geometricspirals2_thumb.jpg\" width=\"570\" height=\"393\" \/><\/a><\/p>\n<p>Here it\u2019s in the triangle. <\/p>\n<p><a href=\"http:\/\/blatner.com\/adam\/blog\/wp-content\/uploads\/2016\/09\/geometricspirals1.jpg\"><img loading=\"lazy\" decoding=\"async\" title=\"geometricspirals1\" style=\"border-top: 0px; border-right: 0px; background-image: none; border-bottom: 0px; padding-top: 0px; padding-left: 0px; border-left: 0px; display: inline; padding-right: 0px\" border=\"0\" alt=\"geometricspirals1\" src=\"http:\/\/blatner.com\/adam\/blog\/wp-content\/uploads\/2016\/09\/geometricspirals1_thumb.jpg\" width=\"600\" height=\"373\" \/><\/a><\/p>\n<p>What is the meaning of all this? Does it have anything to do with the God-Cosmos being infinitely large and also ultra-tiny? Does it hint at the symmetry in out own anatomical structures (such as the cochlea, the spiral-shaped hearing organ)? What do you think it means?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of my low-priority hobbies is a bit of geometry, as it helps me contemplate the intricacies of God\u2019s creation. The phenomenon of \u201cgeometric spirals\u201d grabbed my attention recently. Both rectangles and&#160; triangles can be constructed so that their vertices describe a shrinking (or expanding) spiral. Here\u2019s the big picture: Now, below is the spiral [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[38,14],"tags":[],"class_list":["post-2409","post","type-post","status-publish","format-standard","hentry","category-art-mandalas-doodles-scripts","category-foolin"],"_links":{"self":[{"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2409"}],"collection":[{"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2409"}],"version-history":[{"count":1,"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2409\/revisions"}],"predecessor-version":[{"id":2410,"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2409\/revisions\/2410"}],"wp:attachment":[{"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blatner.com\/adam\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}