{"id":23590,"date":"2018-12-19T10:12:12","date_gmt":"2018-12-19T10:12:12","guid":{"rendered":"https:\/\/codewebbarcelona.com\/proporcion-aurea-que-es-mito-realidad\/"},"modified":"2026-04-20T23:30:05","modified_gmt":"2026-04-20T23:30:05","slug":"golden-ratio-myth-or-reality","status":"publish","type":"post","link":"https:\/\/codewebbarcelona.com\/en\/blog\/golden-ratio-myth-or-reality\/","title":{"rendered":"The Golden Ratio: What Is It? Myth or Reality?"},"content":{"rendered":"<p>Golden ratio, golden number, divine proportion, golden mean&#8230; Chances are you\u2019ve heard these terms before. In this post, I\u2019m going to dig into the concept and try to answer the big question: is it fact or fiction?<\/p>\n<p>If you spend any time online, follow a few graphic design Instagram accounts, or look up the story behind a famous logo, you\u2019ve probably come across the golden ratio being overlaid on a design.<\/p>\n<p>It\u2019s happened to me. And I doubt I\u2019m the only one who looks at it with a healthy dose of skepticism.<\/p>\n<p>I\u2019ve never really taken sides on the debate, mostly because I haven\u2019t looked into it deeply enough.<\/p>\n<p>So I\u2019m dedicating this post to a bit of pseudo-research, to draw my own conclusions. Next time I come across the golden ratio, I want to be able to look it in the eye and say I know exactly what it is, where it comes from, and how it works.<br \/>\n<img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/l3q2FsTOIDtxIErmw\/giphy.gif\" \/><\/p>\n<p>At first glance, it\u2019s easy to fall into one of two camps. You can treat it as gospel and believe it\u2019s a universal truth. You can even wave the golden ratio flag to justify a logo design, even if you\u2019re not entirely sure what it means. Or you can dismiss it as overhyped nonsense\u2014about as real as a Kardashian\u2019s curves.<\/p>\n<p>If you haven\u2019t done your homework, you\u2019re just guessing\u2014no matter which side you pick.<\/p>\n<p>Let\u2019s dive in!<\/p>\n<h2>What is the golden ratio?<\/h2>\n<h3>A quick overview<\/h3>\n<p>Represented by the Greek letter \u03c6 (phi), the golden ratio is an irrational number, typically expressed as a never-ending decimal.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2225\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-decimales.png\" alt=\"\" width=\"409\" height=\"92\" \/><\/p>\n<p>Did that mathematical formula make things any clearer? Didn\u2019t think so.<\/p>\n<p>Bringing it back to our world\u2014if you\u2019re into graphic design or art, you\u2019ve probably seen the iconic spiral associated with the golden ratio.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2224\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea.png\" alt=\"\" width=\"885\" height=\"555\" \/><\/p>\n<p>This spiral is often called the \u201cdivine proportion.\u201d Supposedly, it appears in nature, in art, and even in our perception of beauty.<\/p>\n<p>In theory, objects that follow the golden ratio are said to be more visually pleasing than those that don\u2019t.<\/p>\n<p>So, if this concept is actually true, shouldn\u2019t we be applying it to design?<\/p>\n<p>Using the spiral above, you can map out proportional grids.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2226\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-grid.jpg\" alt=\"\" width=\"535\" height=\"338\" \/><\/p>\n<h3>The golden ratio in design and art<\/h3>\n<p>In both design and art, you\u2019ll find the golden ratio cropping up in works from antiquity as well as in more contemporary pieces.<\/p>\n<h4>The golden ratio in art<\/h4>\n<p>Let\u2019s look at a few examples you might recognize and see how the golden ratio is supposedly incorporated.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2227\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proprocion-aurea-ultima-cena.jpg\" alt=\"\" width=\"600\" height=\"424\" \/><\/p>\n<p>In the famous painting of The Last Supper, you can see the golden ratio applied geometrically in several sections.<\/p>\n<p>Both the groups of people and the spaces around them are arranged in line with the golden ratio.<\/p>\n<p>The table, viewed from the front, is divided so that the lower half is exactly half the height of the upper half. If you look at the center, the width is half that of the adjacent sections.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2228\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/davinci-proporcion-aurea.jpg\" alt=\"\" width=\"599\" height=\"262\" \/><\/p>\n<p>In this other work by Da Vinci, you can see the painting is divided into several layers of depth, each separated according to the golden ratio.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2229\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/davinci-proporcion-aurea-detalle.jpg\" alt=\"\" width=\"400\" height=\"400\" \/><\/p>\n<p>Even the small table\u2019s decorations are said to follow the divine proportion.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2230\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/michelangelo-proporcion-aurea.jpg\" alt=\"\" width=\"592\" height=\"396\" \/><\/p>\n<p>In another masterpiece\u2014this one by Michelangelo\u2014you can also spot the golden ratio in the way the main figures are arranged.<\/p>\n<h4>The golden ratio in design<\/h4>\n<p>We\u2019ve seen that the golden ratio pops up frequently in art. I could give you more examples, but this post would get way too long. If you want to find more, Google is your friend. Now let\u2019s see how it\u2019s used in design.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2231\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-apple.jpg\" alt=\"\" width=\"1280\" height=\"720\" \/><\/p>\n<p>When it comes to the golden ratio, you can\u2019t ignore the Apple logo. I actually wrote a post not long ago about why the Apple logo is one of <a href=\"https:\/\/codewebbarcelona.com\/blog\/mejores-logos-del-mundo-apple\/\">the best logos in the world<\/a>. And no, I\u2019m not an Apple fanboy\u2014I&#8217;m not even writing this on a Mac.<\/p>\n<p>You can see the logo is made up of several circles. These circles are based on the golden ratio.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2232\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-circulos.jpg\" alt=\"\" width=\"1080\" height=\"732\" \/><\/p>\n<p>Check out this YouTube video that breaks down the logo\u2014you\u2019ll see exactly what I mean.<\/p>\n<p><iframe src=\"https:\/\/www.youtube.com\/embed\/Mwr1M9dmUuM\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>And it\u2019s not just Apple. You\u2019ll find the same approach in the logos of many global brands.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2233\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-diseno-1.png\" alt=\"\" width=\"1022\" height=\"266\" \/> <img decoding=\"async\" class=\"alignnone size-full wp-image-2234\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-diseno-2.png\" alt=\"\" width=\"1022\" height=\"266\" \/><\/p>\n<p>Toyota, BP, National Geographic, Pepsi&#8230; all these logos are said to follow the golden ratio.<\/p>\n<h3>The golden ratio in nature<\/h3>\n<p>So, we\u2019ve seen that the divine proportion seems to show up in art and design. Let\u2019s take a quick tour through nature, architecture, and beyond.<\/p>\n<h4>The golden angle<\/h4>\n<p>To get a deeper understanding, let\u2019s talk about the golden angle, which is derived from the golden ratio.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2235\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo.png\" alt=\"\" width=\"288\" height=\"300\" \/><\/p>\n<p>You\u2019ll find this angle in the plant world\u2014more often than you might think.<\/p>\n<p>Honestly, this blew my mind a bit. Remember, I\u2019m writing this post as I research.<\/p>\n<h4>Why is the golden angle important for plants?<\/h4>\n<p>As you\u2019ll see, the golden angle is crucial for plant growth.<\/p>\n<p>Think about how odd it would be to find a plant like the one on the left.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2236\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas.png\" alt=\"\" width=\"300\" height=\"283\" \/><\/p>\n<p>Most plants spread their leaves to maximize exposure to sunlight. The most efficient way to do this is by following a pattern where each new leaf or petal leaves space for the next\u2014on and on, indefinitely.<\/p>\n<p>You\u2019ll see this more clearly in the following breakdown.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2237\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas-1.png\" alt=\"\" width=\"300\" height=\"93\" \/><\/p>\n<p>A leaf sprouts from the plant.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2238\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas-2.png\" alt=\"\" width=\"300\" height=\"164\" \/><\/p>\n<p>Then, using the golden angle, a second leaf appears.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2239\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas-3.png\" alt=\"\" width=\"300\" height=\"263\" \/><\/p>\n<p>Same idea\u2014a third leaf grows.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2240\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas-4.png\" alt=\"\" width=\"300\" height=\"274\" \/><\/p>\n<p>A fourth leaf&#8230;<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2241\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas-5.png\" alt=\"\" width=\"300\" height=\"270\" \/><\/p>\n<p>A fifth leaf. Notice how none of them overlap so far.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2242\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-plantas-6.png\" alt=\"\" width=\"300\" height=\"290\" \/><\/p>\n<p>Keep going, and you get this pattern. Pretty impressive, right?<\/p>\n<p>No matter how many leaves grow, they\u2019ll always be spaced to maximize the available area.<\/p>\n<p>You can see the same thing in flowers.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2244\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-flor.jpg\" alt=\"\" width=\"300\" height=\"225\" \/><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2245\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/angulo-aureo-flor-concepto.png\" alt=\"\" width=\"300\" height=\"225\" \/><\/p>\n<p><em><a href=\"http:\/\/www.greatmathsteachingideas.com\/2012\/08\/\" target=\"_blank\" rel=\"noopener\">Image<\/a>\u00a0by\u00a0<a href=\"http:\/\/www.greatmathsteachingideas.com\/\" target=\"_blank\" rel=\"noopener\">William Emeny<\/a><\/em><\/p>\n<p>If you want to dig deeper, here\u2019s a link about Fibonacci numbers.<\/p>\n<p><a href=\"http:\/\/gofiguremath.org\/natures-favorite-math\/fibonacci-numbers\/fibonacci-in-nature\/\" target=\"_blank\" rel=\"noopener\">http:\/\/gofiguremath.org\/natures-favorite-math\/fibonacci-numbers\/fibonacci-in-nature\/<\/a><\/p>\n<p>&nbsp;<\/p>\n<h3>The golden ratio in other fields<\/h3>\n<p>Beyond nature, let\u2019s look at other areas where the golden ratio appears.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2246\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-arquitectura.png\" alt=\"\" width=\"1022\" height=\"266\" \/><\/p>\n<p>You can spot it in architecture.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2248\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-fotografia.png\" alt=\"\" width=\"1022\" height=\"266\" \/><\/p>\n<p>In photography.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2247\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-cocina.jpg\" alt=\"\" width=\"794\" height=\"601\" \/><\/p>\n<p>Even in cooking. The proportions of the ingredients here follow the golden ratio.<\/p>\n<h2>Is the golden ratio a myth or reality?<\/h2>\n<p>Now that we\u2019ve covered what the golden ratio is\u2014whether you call it the golden number, divine proportion, or something else\u2014it\u2019s tempting to believe it\u2019s real, not just a myth. But to be objective, there are some questions we need to answer.<\/p>\n<h3>Is it coincidence or intention?<\/h3>\n<p>In classical art, did artists deliberately seek out the golden ratio? Did knowing about the divine proportion actually drive them to create works based on it?<\/p>\n<p>If it\u2019s just coincidence, is that coincidence a sign of genius? Whether in nature or in the work of a designer who\u2019s never heard of the golden ratio\u2014is it simply an innate sense of \u201cgood taste,\u201d a natural way to balance proportions or maximize resources (as in nature)?<\/p>\n<p>If it\u2019s intentional, meaning artists consciously used it, we can see that while the golden ratio appears in some elements of a painting, there are plenty of others where it doesn\u2019t\u2014so maybe it\u2019s just chance.<\/p>\n<p>The more elements there are in a painting, the more likely you\u2019ll find the golden ratio in one of them. But you\u2019ll also find plenty of places where it doesn\u2019t show up. So maybe it\u2019s all in the eye of the beholder.<\/p>\n<p>For every one, two, or three elements where it appears, there are hundreds where it doesn\u2019t\u2014but we choose to ignore those.<\/p>\n<h3>Evidence that it\u2019s a myth<\/h3>\n<p>To show why it might be a myth, let me give you a few examples where the golden ratio is applied after the fact.<\/p>\n<p>Now that I\u2019ve gathered all this information, I\u2019m at least curious to see if any of my own designs fit the golden ratio. I should point out that, while I\u2019ve known about the concept in passing, I\u2019ve never consciously used it in my graphic design work.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2250\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-dabeer-1.jpg\" alt=\"\" width=\"848\" height=\"565\" \/><\/p>\n<p>In the <a href=\"https:\/\/codewebbarcelona.com\/diseno-web-dabeer\/\" target=\"_blank\" rel=\"noopener\">website design for Dabeer<\/a>, you can see the divine proportion is present. I just found out myself.<\/p>\n<h4>What about the cases where it doesn\u2019t fit?<\/h4>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2251\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-fail.jpg\" alt=\"\" width=\"1112\" height=\"511\" \/><\/p>\n<p>As you can see, the golden ratio (in magenta) fits the element on the right, but not the next one, shown in blue.<\/p>\n<p>It\u2019s actually pretty easy to make the pattern fit any design\u2014you just have to find the right proportion.<\/p>\n<p>You could even argue that an element is divided into sub-golden ratios to make it work, right?<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2252\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-fail2.jpg\" alt=\"\" width=\"1112\" height=\"511\" \/><\/p>\n<p>Now it fits.<\/p>\n<p>I know this might sound a bit like sophistry, but in the Last Supper example, the golden ratio overlays that are highlighted:<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2227\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proprocion-aurea-ultima-cena.jpg\" alt=\"\" width=\"600\" height=\"424\" \/><\/p>\n<p>Each reference is applied based on whatever measurement fits that particular element, but there\u2019s no real relationship between the proportions themselves.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2253\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-fail3.jpg\" alt=\"\" width=\"618\" height=\"439\" \/><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2254\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-fail4.jpg\" alt=\"\" width=\"934\" height=\"399\" \/><\/p>\n<p>Once you group all the shapes together from a common starting point, it doesn\u2019t really make sense.<\/p>\n<p>Of course, you could keep searching until you find a way to make it fit.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2255\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-trump.jpg\" alt=\"\" width=\"743\" height=\"454\" \/><\/p>\n<p>By that logic, does Trump have the divine proportion?<\/p>\n<h3>Is the golden ratio \u201cinevitable\u201d?<\/h3>\n<p>Let\u2019s go back to the grid I showed at the start.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2226\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/proporcion-aurea-grid.jpg\" alt=\"\" width=\"535\" height=\"338\" \/><\/p>\n<p>The shapes and proportions are extremely basic. We have several rectangles, each formed by multiplying the number of squares it covers.<\/p>\n<p>1 x 1 = 1<\/p>\n<p>2 x 2 = 4<\/p>\n<p>3 x 3 = 9<\/p>\n<p>5 x 5 = 25<\/p>\n<p>8 x 8 = 64<\/p>\n<p>What I mean is, 1 is the most basic unit. You can take any element and make it 1&#215;1 in proportion\u2014width or height. You can do this with any rectangle, depending on which one you start with.<\/p>\n<p>From there, it\u2019s easy for the element next to it to be the same size as the first&#8230;<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2256\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/pa1.jpg\" alt=\"\" width=\"934\" height=\"399\" \/><\/p>\n<p>Or twice as big.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2257\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/pa2.jpg\" alt=\"\" width=\"934\" height=\"399\" \/><\/p>\n<p>Or in a 3:2 ratio&#8230; or 3:1:1.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2258\" src=\"https:\/\/codewebbarcelona.com\/wp-content\/uploads\/2018\/12\/pa3.jpg\" alt=\"\" width=\"934\" height=\"399\" \/><\/p>\n<p>You can flip the object, change the angle, resize it however you want\u2014the possibilities are endless.<\/p>\n<h3>Results and conclusions<\/h3>\n<p>Now that everything\u2019s laid out, it\u2019s time to draw some conclusions\u2014if that\u2019s even possible.<\/p>\n<p>In nature, it\u2019s pretty clear<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Golden ratio, golden number, divine proportion, golden mean&#8230; Chances are you\u2019ve heard these terms before. In this post, I\u2019m going to dig into the concept and try to answer the big question: is it fact or fiction? If you spend any time online, follow a few graphic design Instagram accounts, or look up the story [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1992,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[134],"class_list":["post-23590","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-disseny-grafic"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>La proporci\u00f3n \u00e1urea. \u00bfQu\u00e9 es? \u00bfMito o realidad? - Code Barcelona<\/title>\n<meta name=\"description\" content=\"Desmontando el mito de la proporci\u00f3n \u00e1urea. 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