Psy S Golden Best.33 [BETTER]

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Perrin Cintron

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Jan 25, 2024, 3:58:25 PM1/25/24
to decacaper

Background: I am a mathematician. The golden ratio certainly exists mathematically, it does appear on occasion in nature (though not as often as people think) and when it does occur then there are proper scientifically falsifiable theories as to why it occurs (the spirals on a pinecone are one example, I believe, though the spirals on a nautilus are not). However, it is equally well known that if you take enough different measurements then you will find any number or ratio that you want to find. Simply finding the golden ratio somewhere is not anything exciting. Explaining why it should be there is the important thing.

But that's by-the-by and has already been adequately covered in all of the other answers. What I haven't seen yet is an image with the direct comparisons. So here is one. In the upper picture, the green lines are a third of the way in from the top left corner, the "golden" lines are the appropriate version of the golden ratio in from the top left corner. As many have said, there ain't a lot in it.

psy s golden best.33


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The bottom picture refers to something I'm a little surprised hasn't been mentioned. That is that the sensor size, and the size of the "standard" photograph, aren't in the correct ratio for the golden ratio to be correctly applied! For a photograph to be taken seriously as "having the golden ratio" property, then I'm afraid that it would need to be sized in the ratio of 1:1.6180... The standard photograph should thus be 4 inches by a shade less than 6.5 inches.

Essentially the Rule of Thirds is a simplification of the Golden Ratio. The golden ratio is about 1.62, but for photography, we'd typically write its inverse, of .62. There is a whole host of stuff on this ratio, but let me just say that it's significant in terms of beauty.

You can see that I prefer to frame my shots using the golden ratio even if it's competely in my head (maybe it's golden because it comes to me naturally haha). I think to compose with either isn't so much an issue of correctness, but more of personal taste.

The golden ratio being important to photography is a bit of a myth to be honest. The value is the only number whose reciprocal is exactly 1 less, and it has a few interesting mathematical properties see cabbey's answer for more details.

Supposedly you find the golden ratio all over the human body, and the proportions of a "beautiful" face (Tom Cruise is often used as an example) all follow the ratio 1.61803399 but when you evaluate the results closely turns out that the features only approximately follow the ratio. And given enough measurements of any face you'll find lots of measurements that are about 1.5 times each other.

Psychologists have done experiments where they have shown people rectangles with varying proportions and asked which they found more pleasing. Rectangles whose ratio was the golden ratio were not rated any more pleasing overall. I'll see if I can find the reference.

There's a SECOND way you can leverage the golden ratio, and that's by image AREA. There's a classical image that demonstrates this, but I can't find it online for the life of me, and there's just a ton of folks that tried to mimic it, but didn't understand it... so searching for the image with google image search is utterly pointless. But here's a thought exercise to explain it.

The image is a simple leaf laying on the grass, or a brightly colored Koi swimming in a dark pond. Some small element on a larger area with a striking visual difference, be it color, texture, whatever. Let's use the fish as our example. Say that in the area of the print, the fish occupies 10 square inches total area. The rest of the image then would need to be sized such that it satisfied the above ratio. So let's say roughly 16 square inches. The two together then are roughly 26 square inches; so if you print the image as a 4x6.5" print then your koi will occupy the golden ratio of the image and will be, in theory, classically proportioned and beautiful.

The rule of thirds appears to have been invented, or at least codified by, John Thomas Smith in the 1797 book Remarks on Rural Scenery, without regard to the golden ratio. (See my digging into that in a different q/a, if you're interested.)

This isn't necessarily worse than the golden section, and, unless the object is very small, is generally close enough to the same that any harmonic/beautiful/mystical properties that apply to one might apply to both.

If you take a look at the classic "golden spiral" image (shown in cabbey's answer here), you'll note that the aspect ratio of the frame is the golden ratio, and the spiral is produced by drawing the rabatment lines that match that ratio.

From Pacioli onward, many works of art are widely suspected to employ the golden ratio in their composition. But direct confirmation from the artists is surprisingly hard to come by. (I'd love to see some references if you can find them!). And since the elements of the paintings, sculptures, and etc. which are said to use the golden ratio in one way or another often line up only imprecisely, or when carefully selected, it's hard to conclusively demonstrate. In fact, even if we accept that the golden ratio does have a certain aesthetic power, perhaps the Renaissance masters simply used similar proportions unconsciously.

The golden ratio and the rule of thirds are similar but competing recommendations for dividing the frame of a composition (in painting, photography, film, and architecture). It's often also given that the intersections of these divisions may provide strong points for aligning objects of interest.

The golden ratio, as a tool for aesthetics, was popularized by a minor German intellectual, Adolph Zeising, in about 1854. The ratio itself was known to Euclid and in 300BC, but he simply noted its mathematical interest. Luca Pacioli wrote about it as "the divine proportion" around 1500 at the dawn of the Renaissance, but it didn't really catch on the way people now think it did. Pacioli used the word divine because he found religious significance, not an aesthetic one. Much later, in Germany in 1835, the ratio got the name "golden section", which Zeising picked up and expanded into a comprehensive theory of the universe. This theory is much more developed than Smith's rule of thirds, but ultimately it's an artifact of the Romantic Era, and hinges on the idea that elegance in pure mathematics must indicate some corresponding beauty in reality.

In brief he said that on a blank or mono coloured frame the golden ratio aplies in the macro format of the frame, however as soon as a picture element enters the frame it infleunces the composition as well as peoples preference of the frame format. He states that his research shows that approximately 6% of artists used frame formats using the golden ratio and the majority prefered formats that were closer to 1.2 and 1.4 ratios.of these can be asumed to be influencedd by the subject matter. e.g. in modern landscape or architecture a photographers is starting to prefer > 1.8 formats. Even preferred movie formats is folowing suit.

The terms stability in a picture is bandied about and the term is further enhanced by the balance and in balance concepts. I believe the subject determines these in agreater sense and for imovable objects such as classic arcihtecture the use of the golden rule make sense. But why would you want an athlete or dancer in perfect balance/stability when the intention is to provide a sense of imbalance. Some said that the rule of thirds produce a slight imbalance that enhances these subjects. I dont know... A picture just feels right to me as either in balance or not and is informed by many aspects of a complex picture such as tilt tone an blur.

Outside of this symbolism, gold wedding dresses also scream celebration. With their decadent, Gatsby-era vibes, golden gowns are definitely made for partying like royalty and celebrating the abundance of love in your life!

For when you want to add some glitz and glam to the classic wedding white, look no further than ivory and gold wedding dresses! These gowns still feel oh-so bridal, but with a sparkly golden twist. Rock them for a free-spirited big day look, or choose one for a fun after party outfit change!

Ivory and gold wedding dresses also look SO good with traditional wedding accessories, like dramatic veils (with some golden speckles, perhaps), as well as more modern trends, like sheer wedding gloves!

We were enchanted to meet this glittering golden gown! Not your average ivory and gold wedding dress, this one changes color depending on the light and the angle. Just picture how magical you would look twirling around the dance floor!!

A little bit vintage, a little bit unconventional, and a LOT glamorous, gold beaded wedding dresses are absolutely unmatched! They take that golden look and turn it up a few notches, with hundreds of beads, crystals, and sequins that catch the light from every angle.

One of the possible endings in Noita is the peaceful ending, where you have collected the Sampo and 33 orbs and turn them in at the sky altar on The Floating Island above the mountain. Collecting 33 orbs is only possible without external tools in New Game Plus (NG+) due to the Lava Lake orb not appearing in parallel worlds in New Game. The final boss Kolmisilmä gets a significant amount of health from 33 orbs, along with new attacks and defences. To get the ending, fighting the boss is not mandatory, but this guide will explain ways to deal with him. You could kill the boss before collecting the orbs, or collect the orbs and get to the sky altar with the boss still chasing you. The reward for doing a peaceful ending is a pillar piece above the tree in-game and a permanent golden amulet for the player character.

Proper and premium care is needed to prolong a golden blonde shine. Lighter and brighter hair colors demand moisture to avoid damage. Using at-home products such as deep conditioning treatments, color-safe shampoos, and conditioners will help conserve your sunny hues and avoid brassiness.

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