{"id":240,"date":"2013-10-20T15:48:00","date_gmt":"2013-10-20T15:48:00","guid":{"rendered":"http:\/\/bluelotuscreative.com\/glenvillagardens\/fibonacci-numbers-in-nature\/"},"modified":"2013-10-20T15:48:00","modified_gmt":"2013-10-20T15:48:00","slug":"fibonacci-numbers-in-nature","status":"publish","type":"post","link":"https:\/\/glenvillaartgarden.com\/fr\/fibonacci-numbers-in-nature\/","title":{"rendered":"Fibonacci numbers in nature"},"content":{"rendered":"<p>Ever since writing in a <a href=\"http:\/\/www.blogger.com\/blogger.g?blogID=6008479193055587810#editor\/target=post;postID=201837956987074066;onPublishedMenu=posts;onClosedMenu=posts;postNum=11;src=postname\">recent post<\/a> about Througham Court and how Christine Facer Hoffman, the owner and designer, incorporated Fibonacci numbers into the garden, I&rsquo;ve been noticing photos of plants that illustrate this natural sequencing. Deborah Lee Baldwin showed this one in a <a href=\"http:\/\/www.gardeninggonewild.com\/?p=24640\">recent&nbsp;<\/a>entry on Gardening Gone Wild.<\/p>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" style=\"margin-left: auto; margin-right: auto; text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><a href=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-5u102mOMIEI\/UjMEJ4hdCzI\/AAAAAAAABUY\/fpDpkKCxr8M\/s1600\/Euphorbia-gorgonis.jpg\" style=\"margin-left: auto; margin-right: auto;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" height=\"606\" src=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-5u102mOMIEI\/UjMEJ4hdCzI\/AAAAAAAABUY\/fpDpkKCxr8M\/s640\/Euphorbia-gorgonis.jpg\" width=\"640\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">Apparently this plant is euphorbia gorgonis.<br \/>Who would have known? Not me.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>And I saw this one in my own garden, in a gravel section I&rsquo;m playing around with.<\/p>\n<p><\/p>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" style=\"margin-left: auto; margin-right: auto; text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><a href=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-SMeT0iyJEFI\/UjMFL3UDaZI\/AAAAAAAABUg\/W2PlPlDtqdk\/s1600\/IMG_0061.jpg\" style=\"margin-left: auto; margin-right: auto;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" height=\"470\" src=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-SMeT0iyJEFI\/UjMFL3UDaZI\/AAAAAAAABUg\/W2PlPlDtqdk\/s640\/IMG_0061.jpg\" width=\"640\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">sempervivum arachnoideum &lsquo;Cobweb&rsquo;&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>This sempervivum is named &lsquo;Cobweb.&rsquo; &nbsp;A close look at the central white portion tells you why.<\/p>\n<p>The tell-tale Fibonacci spiral appears in a cactus in California&#8230;<\/p>\n<p><\/p>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" style=\"margin-left: auto; margin-right: auto; text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><a href=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-RAdDh3UD8Ho\/Ujd3QVWnJsI\/AAAAAAAABZM\/NuUTU_5SOzo\/s1600\/Sunnylands_102.jpg\" style=\"margin-left: auto; margin-right: auto;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" height=\"426\" src=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-RAdDh3UD8Ho\/Ujd3QVWnJsI\/AAAAAAAABZM\/NuUTU_5SOzo\/s640\/Sunnylands_102.jpg\" width=\"640\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">A prickly spiral on a barrel cactus.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>and in the centre of an echinacea at Glen Villa. Here it is accompanied by a bee whose DNA or parentage also demonstrates the same phenomenon. Or so I read. (It isn&rsquo;t that complicated but it involves sex, or gender at least. Female bees have more great-grandparents than male bees &#8212; and the numbers of each are themselves Fibonacci sequence numbers. You can read all about it <a href=\"http:\/\/enrichment.it-figures.org\/fibonacci.htm%E2%80%8E\">here<\/a>.)<\/p>\n<p><\/p>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" style=\"margin-left: auto; margin-right: auto; text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><a href=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-_iM8Qpkxg6s\/Ujd3ARdCMDI\/AAAAAAAABZE\/a1_ubSzrPow\/s1600\/IMG_9263.jpg\" style=\"margin-left: auto; margin-right: auto;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" height=\"464\" src=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-_iM8Qpkxg6s\/Ujd3ARdCMDI\/AAAAAAAABZE\/a1_ubSzrPow\/s640\/IMG_9263.jpg\" width=\"640\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">An echinacea named &lsquo;Magnus&rsquo; with a bee who didn&rsquo;t give me his name.<br \/>Shall I call him Honey? &nbsp;Maybe Bumble is better.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>On-line entries tell me that Fibonacci numbers constitute nature&rsquo;s own numbering system. They appear in the leaf arrangement in plants, the bracts of a pinecone and the scales of a pineapple, as well as in the unfurling of fern fronds.<\/p>\n<table align=\"center\" cellpadding=\"0\" cellspacing=\"0\" style=\"margin-left: auto; margin-right: auto; text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><a href=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-S_9ngMjD6DY\/Ujd7qQskSSI\/AAAAAAAABZc\/lBifNzJetGc\/s1600\/IMG_5626.jpg\" style=\"margin-left: auto; margin-right: auto;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" height=\"454\" src=\"http:\/\/glenvillaartgarden.com\/wp-content\/uploads\/blogger\/-S_9ngMjD6DY\/Ujd7qQskSSI\/AAAAAAAABZc\/lBifNzJetGc\/s640\/IMG_5626.jpg\" width=\"640\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">Ferns dancing in early spring<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Why do some plants grow this way? If it is more efficient, as some on-line sources claim, why don&rsquo;t all plants grow in the same way? Does it maximize the light that falls on each leaf, or give each its full space? <\/p>\n<p>The on-line entries about fibonacci numbers are too mathematical for me. I just like to look at them in real life.<\/p>\n<p>The other thing I like to look at: your responses to the on-line survey. Many of you took the time to respond, and I truly thank you. This is the last week I&rsquo;ll mention this (do I sound like a fundraiser for PBS? I don&rsquo;t mean to), so if you haven&rsquo;t taken the survey yet, please do it now by <a href=\"http:\/\/www.surveymonkey.com\/s\/MT7XPN8\" target=\"_blank\" rel=\"noopener\">clicking here.<\/a>&nbsp;I&rsquo;m excited by the number of responses and by the ideas that you&rsquo;ve suggested, and I know the blog will be more interesting to read because of your input. Perhaps next week I&rsquo;ll share the results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ever since writing in a recent post about Througham Court and how Christine Facer Hoffman, the owner and designer, incorporated Fibonacci numbers into the garden, I&rsquo;ve been noticing photos of plants that illustrate this natural sequencing. Deborah Lee Baldwin showed this one in a recent&nbsp;entry on Gardening Gone Wild. Apparently this plant is euphorbia gorgonis.Who&hellip;<\/p>\n","protected":false},"author":1,"featured_media":11242,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"footnotes":""},"categories":[82,20,21],"tags":[178,27,179,180,181,182,183,184,185],"class_list":["post-240","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-miscellaneous-2","category-people","category-plants","tag-bees","tag-blog","tag-cactus","tag-deborah-lee-baldwin","tag-echinacea","tag-ferns","tag-fibonacci-numbers","tag-fibonacci-sequence","tag-sempervivum-cobweb-2","category-82","category-20","category-21","description-off"],"_links":{"self":[{"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/posts\/240","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/comments?post=240"}],"version-history":[{"count":0,"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/posts\/240\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/media\/11242"}],"wp:attachment":[{"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/media?parent=240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/categories?post=240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/glenvillaartgarden.com\/fr\/wp-json\/wp\/v2\/tags?post=240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}