Golden Ratio = Mind Blown! - YouTube

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When I learned about this math ratio, it changed my life.
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Okay, so I'm going to explain in this video a math and design phenomenon called the Golden Ratio. It's
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also referred to as "Phi." So what is the Golden Ratio? Well, to help explain it, I'm
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going to put out the sequence of numbers called the Fibonacci sequence, which is
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really just the Golden Ratio in a sequenced, numeric form. Now to arrive
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at this Golden Ratio sequence of numbers, we just need to follow a basic math
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formula. And I'm not a math person, so we're just going to keep this very
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simple. Okay, so you just start with 0+1=1. And now to get to the
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next number in the sequence, you take the sum of that simple equation and add it
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to the last number in the equation. So 1+1=2
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and then 1+2 = 3. And it's around this point that the ratio
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actually starts showing up. As we continue to do this formula, we start
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arriving at a set of numbers: 2, 3, 5, 8... and you see what we're doing-- we're
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adding the sum of the equation to the last number in the equation, and we
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arrive at this sequence of numbers. It's interesting that this sequence and
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ratio actually remains consistent no matter how long you follow this
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mathematical formula. And so this sequence continues to expand outward
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around the rate and the ratio of 1 to 1.6. Now to help give you an idea of what
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a 1 to 1.6 ratio is compare it to a 1 to 1 ratio so to make a 1 to 1.6 ratio, you just
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envision a little more than half of the initial line added to the line of the
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other side. Alright so this ratio 1 to 1.6
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This is the ratio that's called the Golden Ratio a 1 to 1.6 ratio. So this
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is what the Golden Ratio looks like as a rectangle 1 to 1.6. And if we were to start
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making incremental Golden Ratio points within that, we can get an idea of what a
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spiral looks like when it expands outward at the same measured sequence.
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Now this is all well and good, but what does that have to do with everyday life?
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Well, a lot actually. And that's because when we look to nature, we see that so
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many things flourish when they go to the golden ratio design and when they follow
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this sequence. Growing and expanding to the rate of the golden ratio spiral
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allows the maximum amount of rain to be directed down to the roots of many
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plants. And remarkably when you study nature, you see the golden Fibonacci
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numbers like 3, 5, 8, 13, all of that again and again in the seed patterns and spirals
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of plants, as well as in the number of petals.
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Next time you're bored and have a sunflower, try counting the number of
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seeds in the sunflower spiral-- the Golden Ratio! Or maybe try something else with a
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spiral, like a pinecone or pineapple. So we can spend all day counting the seeds
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of flowers, and plants, and fruit... I mean, you get the idea. But we don't just see
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this Golden Ratio sequence on a small scale. This ratio is the mathematical
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sequence in the spirals of our storms. Tornadoes, hurricanes-- these all spin in
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this golden sequence 1 to 1.6! Even the waves can be measured using this ratio.
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But it doesn't stop there-- modern technology continues to be mystified by
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the far-reaching scope of the Golden Ratio. From the alignment of the planets
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to the spirals of our Milky Way galaxy, as well as the spirals of other ratios
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of planets. Now let's take this closer to home, I
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want you to hold out your arm and look at the distance between your
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shoulder and your elbow. And then from your elbow to your fingertips.
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Notice how your elbow from your shoulder to your elbow is "1" and then from your
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elbow to your fingertips is "1.6." Pretty crazy huh? but doesn't stop
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there. Now take that further the distance from
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your fingertips to your wrist is "1" and from your wrist to your elbow is "1.6"
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Keep it going-- from the furthest tip of your finger to the
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bottom of your fingers is "1" and from the bottom of your fingers to your wrist
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is "1.6." Now check out the spacing of your knuckles 1 to 1.6. Are you
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getting freaked out yet? Think about this: the head to your belly button "1" and
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then belly button to your feet "1.6." From your toes to your knees, and
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from your knees to your hips-- Golden Ratio! Ever wonder why your two front
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teeth are so much bigger? Golden ratio! The pupils of your eyes-- I mean, you name
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it, your whole body is the symphony of the Golden Ratio! In fact, as you are
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listening to this video, the sound waves are passing through your ear in a
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perfect golden spiral. Scientists have discovered that the golden ratio pattern
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is necessary for the human brain, the neural system, our sense organs, and our
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lung system. The golden ratio sequence is even in the helix of our DNA, and it
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forms the very rhythm of our heartbeat pattern!
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This is pretty amazing if you ask me! The universe is an incredible place, and to
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think that these beautiful intricacies of the world all hang on a stacked, razor
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edge with the incomprehensible fine-tuning of all these precise
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constants and quantities which allow the universe to begin to exist.
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I mean it's unfathomable! No wonder we are a naturally bent to worship a higher
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creative power. I mean, we are fearfully and wonderfully made, and we live in a
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universe that is designed and hardwired to be life permitting. And speaking of
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which, I think it's interesting that the Golden Ratio also comes up in the
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ancient Biblical texts. Scholars have noted that wouldn't you consider
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design measurements of things like Noah's Ark and the Ark of the Covenant,
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the Golden Ratio is an exact match to the measurements. Pretty interesting... Okay,
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so we've seen how the Golden Ratio is embedded into our life and even into our
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own heartbeat. So naturally, it's going to affect our aesthetics and the arts.
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It is believed that the Greeks used the Golden Ratio to achieve ideal acoustics,
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and many instruments are actually designed with the ratio. When you look at
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the amount of black keys and white keys on a piano,
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it should be no surprise that you see the Golden Ratio. And that's because
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the musical scales and notes align with the Fibonacci sequence. So
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scientists, mathematicians, and artisans have been aware of the Golden Ratio and
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have been incorporating it into their architectural and artistic designs
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throughout history. For some reason, designs tend to look better when
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composed and designed with the Golden Ratio. Look at iconic ideal Greek temples
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like the Parthenon in Athens-- you can see that they use the ratio again and again.
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Painters have also been incorporating the golden ratio into their artistic
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designs because it gives the composition a "je ne sais quoi" ("I don't know what.") Leonardo da Vinci was
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obsessed with it, so was Michelangelo. Even in the 20th
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century, you see the ratio being used in painting-- whether it be in the dimensions
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of the canvas, or the placement of the focal point. And by the way, the Golden
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Ratio is one of the reasons artists don't like to line everything up in the
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center. But you don't have to go to Greece or to the Louvre to appreciate
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the Golden Ratio in human design. I mean, just look around your house or go to the
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grocery store. The golden ratio is used in product
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design, logos, and in branding all the time. It's a ratio that, for some reason,
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is pleasing on the eye, and it can be a great template for solving multiple
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design problems. I remember when I first started learning about the golden ratio,
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I began to see it everywhere, and it's really remarkable with how it comes up
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in nature and in the design world, and and how artists can greatly improve
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their designs by using its sequence. So now that you know about this mysterious
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sequence that pops up again and again, now go out, and I want to challenge you
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to go and look and find places where you see this ratio. You don't necessarily
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have to take around a measuring stick, but but take pictures, and
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notice where you see this ratio come up in design and in nature. And I think you
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will be surprised-- and perhaps, even, this newfound awareness it might even change
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your life.