I will look forward to the day when I can be as happy as this lady. The video just made me happy. I am now I.6 times more happier

Been an architect for 35 years and use the golden ratio for laying out the building design. In fact, I use it for everything. Works every time it's used!

Retired math teacher here. I would’ve so loved to have shown your video to my honors seventh grade students. I spent an enrichment day on the golden ratio. I did not know about ocean waves and tornadoes. Loved, loved your enthusiasm. “Mathematics is the language with which God has designed the universe” Galileo

I’ve been familiar with the golden for many years but I’ve never seen anyone explain it with such passion & enthusiasm. This video is golden. Well done!

She’s my professor and I actually love her so much. Yes, she’s this excited about everything. It’s great :)

I’ve been into the golden ratio and Fibonacci and I still am blown away that it’s not more popular and spoken about. It truly is the geometry of the universe.

I've been a carpenter, cabinet maker for 50years. Many years ago I learned about the golden ratio, it was an excellent way of making anything look correct. And you can find it with out math!

One thing which helps me in believing in His existence is the notion that, "Behind every organized thing is intelligence, otherwise there is utter chaos". Like a person going through a jungle comes across a beautiful house and a garden. He will immediately think someone lives here. The organization in the midst of chaos is itself a sign. You do not have to see the person to believe.

I love your enthusiasm for my favorite subject! The best part is the Biblical reference to the Ark of the Covenant and The Temple! Giving glory to Our Creator as you overflow with joy is a beautiful gift to the world!

This young lady is an amazing teacher ! Her excitement gets me excited !

A Diamond Girl on Golden Ratio. Contagious with her enthusiasm and happiness. Every school going student and for every life loving person a MUST Watch,Thank you!!!

This video has unlocked my golden ratio potential for seeing, mapping and identifying everything that is aesthetically harmonious with nature. It’s mind blowing to understand that nature is an actual formula to appreciate but on another level. Great video!

As an architect and designer I used this principle. What I conclude for this is the Universe has a Creator. BTW, I like the way she informed us, she's very passionate.

I like how invested and happy to talk about this she is

Her enthusiasm for the topic is delightful.

You just described how everything in the universe is intelligently elegantly designed

To the enthusiastic young woman who made this presentation, I salute you. You did a spectacular job of presenting the information in a very clear and concise way with honesty and warmth. Well done!

From the Introduction of the book "Liber Abaci" written by Fibannacci himself: 1) "I am the son of an official working in Bugia, Algeria". 2) There was a colony of Indian Merchants in that city. 3) "It was there that I was introduced to Indian Mathematics". Fibonacci further says- " I loved Indian Mathematics to such an extent above all others that I completely devoted myself to it" "I was also introduced to Greek, Arabic & Egyptian Math" "But I found ALL of them, EVEN Pythagoras, to be erroneous compared to Indian Mathematics" Fibonacci further says: "For this reason, basing my book COMPLETELY on Indian methods and applying myself with greatest attention to it, but not without adding something of my own thought, I forced myself to compose this book. I demonstrated everything with proof" Finally, Fibonacci says: " In my book, I have published the doctrine of Mathematics completely according to the Method of Indians. I have COMPLETELY adopted the (Mathematical) Method of Indians because it is the MOST effective" In his book, Fibonacci does NOT refer to #Fibonacci Series as "Fibonacci Series" Rather, he simply calls it "Indian Series". Unlike many other Europeans, Fibonacci was NOT a plagiarist. He clearly mentioned his source and acknowledged his credit to ancient Indians. Reference: "Liber Abaci", by Fibannacci; (English translation) Published in the scholarly journal Reti Medievali Rivista by Giuseppe Germano, 2013.

Most good designers and artists purposely use this ratio all over in their work, but in spite of that, in my own experience with art composition, this ratio seems to be hard-wired into our DNA. In other words, this ratio just naturally shows up everywhere in art and design, whether intentionally or not. Awesome video. Thank you!

I love her energy. We need teachers like her

OMG 33 years ago an art teacher tried to teach me this and I didn’t get it. Your video got me to understand this. Omg omg. Thank you!

This is where my spiritual journey began 14 years ago. I was atheist before I learned about it. Yes, my mind was blown just like hers. I was like, does anybody else know about this? Lol. It’s been a beautiful ride ever since. ❤️

I've always known about the Golden Rule, but this girl made it exciting and incredible. Her eagerness is infectious!

Although I was a self taught architectural designer/draftsman, I never liked math. This is an amazing video. Thank you so much for posting it. Your excitement is contagious.

I was a very bored student, a product of the dismal public education system of the 70's whose teachers were uninspiring and still hitting and humiliating. I quit 4 months before graduation. Fortunately, I loved books and the college placement exams were suprisingly easy. I can recall only a handful of teachers who really knew how to engage and infuse students with enthusiasm. Anything less is just a weird sort of daycare. Great video. Fibonacci would have been very pleased. Too cool for school😎

I was in an extended KZfaq conversation with a gentleman who described himself as the "Logical Atheist" and finally asked him if he "believed design exists in nature" to which he replied " absolutely not, no one has met their burden of proof and none can provide any non fallacious evidence... what we see in nature formed naturally". I then asked him about the Fibonacci sequence and Golden Ratio to which he replied that he had "no comment" as it had "nothing to do with our conversation". I was quite puzzled by his curt response.

To me this is science proving a creator. This is clearly an example of intelligent design.

As an artist, this applies. It is a must when developing compositions.

Golden Ratio this...ive heard many talks in my life but none as concise or enthralling as this. If all teachers possessed your clarity and enthusiasm well i suspect the universe would be a much better place. Great job! Thank you for sharing your know spark!

I wish I was this passionate about anything in life. It's so nice to see her being this enthusiastic.

I'm a 76 year old pianist. I've been fascinated, first intuitively/audibly with the Golden Ratio and then intellectually especially related to painting which is one of my passions. In my non-mathematical brain I decided it's a lot about thirds, or the number 3, pi. You did say it pleases the eye. Absolutely and I may add the ear. I'd like to hear more about why this is pleasing to our brains but that's probably due to the Golden Ratio. Thank you.

Symmetry is pleasing to the eye, as a fabricator I obsess over achieving perfect symmetry, it makes a difference.

Get yourself a girl/guy who talks about you like the way she talks about the golden ratio

In the stock market, commodities, crypto and trading of all other assets, the golden ratio is used to make purchasing and selling decisions. You will be amazed at how the price reacts to the Fibonacci numbers and the golden ratio, truly incredible.

The further towards the tips of the pine tree, the more perfect the geometry becomes. The pine grows in double spirals Fibonacci style, One spiral angled at 1 and one spiral the opposite direction at 1.6. Where ever they cross, a needle grows.

The ancient Indians knew about the Fibonacci series and the golden ratio even before it was invented by Fibonacci and we have evidences for it in some of the Hindu texts and mantras..can get clear info abt this in Praveen Mohan's Video abt Fibonacci number ....the golden golden ratio is a divine proportion 🙏.....great job sis you have explained it very well

I’m a woodworker and often use the golden ratio to get something in proportion so it looks right, (or pleasing to the eye.) chopping boards, serving platters, turned items, wooden bowls, etc.

I am a horseshoer and was mindblown when I learned that it correlated to my work. I love and commend you for giving credit to our amazing creator. It takes more faith to believe that all this happened on accident in my opinion. Btw thank you for showing an accurate representation of the arc and not a boat lol.

Speaking of a symPHOny the golden ratio in the musical scale is the Perfect 5th. We even say Phi in Five like Phive. 1plus the square root of 5 over 2. The significance of this is the fact that the dominant note of the whole scale is the Perfect 5th. It's the second most stable next to the root. This is why we call it a Power Chord. Every single chord contains the the root and 5th it's the basis of every chord except diminished chords. In western music, which is mostly written in Major, we omit the 7th scale degree as a chord because it's diminished and contains the tritone which is also known as the Devils interval. It's the same numbers in the number of spirals in pine cones and pineapples. It's even why we called them Adam and Eve for A-E or the symbol Æ but that's another long story. Let's just say it's the evidence for creation. God.

I’ve had the gist of The Golden Ration but I have a much better grasp and understanding based on how well this is explained. Thanks for making it so simple.

Crazily enough, the golden ratio is also present in the stock market too. When a stock moves up, it will sometimes (not all the time) retrace 61.8% before moving back up.

Never in my life have I seen anyone so enthused by a particular numeric ratio.

Love your video. My addition of fun facts: 1. The ratio is actually an irrational number (like pi for example). I love the idea that so much, perhaps everything, is based on an irrational number! 2. The two most popular film formats, past and present, are very close to the Golden Ratio: 35mm (still and film) is 1:1.5, which is actually "rational". And 16:9 in video/film, is 1:1.7 (actually irrational). 3. There used to be a quirky band called the Fibonaccis. I won't comment on whether they were rational or irrational. They probably won't either.

I've been watching Golden Ratio vids on KZfaq. This is the easiest explanation of the Fibonacci sequence and the golden ratio. Thanks a lot!

THE MOST EXCITED GIRL I'VE SEEN IN A WHILE. ALL CAPS.

The most important factor of this clip is the pure enthusiasm and joy this woman had put in her information. That is how any piece of knowledge should be delivered. Strangely I noticed that the amount of people who disliked the video to those who liked it follows the golden ratio. It shows that the amounts of idiots in this world compared to those with sense of appreciation is predetermined and that evolution tempo itself has no escape from such ratio.

all of creation screams there is a creator. all these things we discover in nature are systems that have always been. bless you and may the peace of God be upon you. never loose that childlike spark that makes you enthusiastic about what he has created. thank you for your time.

The only thing more amazing than the golden ratio is your enthusiasm. I run a business & some of the people I employ bring me down with their crappy attitude. But your zest and enthusiasm has given me a lift. Thankyou , not only for a great informative video but your positive attitude that shines through. 👍👍

"When your mind becomes obsessed with anything, you will filter everything else out and find that thing everywhere." Pi, 1998.

*ALIENS WATCHING THIS* "This one knows too much."

Guys: one mile is 1.6 kilometers, woah! You can start freaking out now.

As a mathematician, I want to do some damage control. The golden ratio can be found in three places: 1. Mathematics. The ratio of the Fibonacci sequence does indeed converge to φ. It also doesn't admit any good fractional approximations. 2. Modern designers (architects, artists). They use it because they think it makes their work more beautiful, but the idea of φ representing beauty is from a relatively modern thesis. 3. Plants. There is apperently underlying mathematics to this, although the video does partly relies on coincidences as examples. Some of the examples don't actually line up that well if you actually try it, like the DNA, but this video wouldn't have been more accurate if the coincidences lined up better. The golden ratio is far enough from any conventional ratio that there is a better approximation. The fact that it is so far away from other ratio's actually makes it the most annoying ratio to debunk, you can seldom state a more accurate ratio. Remember, the internet is the place where you see information when it is shared. How often information is shared depends on how mind-blowing it is, not on how accurate it is.

God is just THAT GOOD and he SPOKE IT INTO EXISTENCE! Imagine that! Praise be to the most high!!!

As an artist and art teacher I do impart this to my students, as well as use it in my work... and subtle as it may be it certainly makes things feel "wrong" when I don't employ it in a composition. Most of my students listen to me talk about it but never think about it again, haha, until they question their design results it usually falls to this not being present.

That moment when she said that's why artist don't like to line everything up in the center i realized why i really don't.

Thanks Tessa for further blowing my mind . Your golden ratio podcast is easily one of the best and most informative on this internet. I will view it a couple of times. Good luck to you .

You've just given the best explanation of the the Golden Ratio I've ever heard. Thank you.

Love how you explained the golden ratio! Perfect for my math students to see the application. And just love how you mentioned how a perfect God created us this way. How wonderful that you incorporated the Biblical and everyday realities of it! Thank you!!!!

The most trippy thing is this... almost every song I’ve tried, this works with. 9/10 I’d say. Take the length in seconds and multiply it by 0.618. At that point in the song, there likely is a climax, or important notably different portion. They call it a phi moment.

I love how you shared so many examples of the Golden Ratio throughout Nature and how we as part of Nature can use it in our art forms (designing buildings, music, scenes on a canvas, and more). You were so exhuberant in your presentation and so clear that an #elementaryschool #child could understand #fibonacci and #goldenratio. Thank you. :)

I've had the Golden Ratio explained to me dozens of times and this is the only one my smooth brain could understand. Pretty neat!

Something that will really blow your mind ....the distance from corner to corner on the face of a cube(with all dimensions = 1)is the square root of 2 ...and corner to corner through the center is the square root of 3. Add the square roots of 2 & 3 together and you'll get a finite PI (circumference of a circle) that will share four sides with the cube. And to turn the circle in to a sphere will lead to another constant. Try it. Shows the structured nature of reality. Didn't just happen by chance. It will lead you down a rabbit hole. Metatrons cube. The E8 lattice quasicrystal. Cube runes. Mandelbrots Sets. Too much order to be chance.

I have to write a paper about the Golden Ratio, and I had no clue what it was. This is the best video yet! Thank you so much for helping me understand.

"This is rather as if you imagine a puddle waking up one morning and thinking, 'This is an interesting world I find myself in - an interesting hole I find myself in - fits me rather neatly, doesn't it? In fact it fits me staggeringly well, must have been made to have me in it!' This is such a powerful idea that as the sun rises in the sky and the air heats up and as, gradually, the puddle gets smaller and smaller, frantically hanging on to the notion that everything's going to be alright, because this world was meant to have him in it, was built to have him in it; so the moment he disappears catches him rather by surprise. I think this may be something we need to be on the watch out for." Anthropic principal. Things are the way they are because if not they'd be different. It would be very odd to find ourselves in a universe inhospitable to life, maybe then you'd have a point.

I've long known about this but never bothered myself to recognise it. Tessa, you've just inspired me to open my eyes. Cheers.

Perhaps someone has caught the mistake at 1:47 in the chart listing the addition sequence - 34 + 55 = 89, not 144; skipped a set which throws off the next calculation as well. Great video, very impressed with the number of views over the course of two years!

she truly knows what she talking about. I wish I could such passion and excitement in my life.

Been teaching this on my art course for years. I still get this excited about it.

A spiral, yet not one mention of a snail's shell. One more thing, don't use it to come up with lottery numbers. It doesn't work. I tried.

I've been using it in my art for 40 years, the golden ratio is everywhere.

Thank you for this presentation. I've studied the Golden Ratio quite a bit, and I must say that your explanation is the most enthusiastic and enjoyable video explanation I've seen ever. However, I must nitpick about Noah's Ark at 6:50 in the video. The video shows a ratio of 25 cubits to 15 cubits (length x width). In Genesis 6:15, the ratio is given as 300 cubits long (450 - 510 feet, depending on which historical version of the cubit you accept) and 50 cubits (75 - 85 feet) wide, a ratio of 6:1, not 1.6:1. The Ark of the Covenant (6:51-6:52) *did* use a 1:1.6 ratio in both length-to-breadth and length-to-height, being 2.5 cubits long, 1.5 cubits wide, and 1.5 cubits high (see Exodus 25:10 and Exodus 37:1).

Thank you so much for your elegant presentation about the golden spiral. I will show this to my grandchildren when we do our weekly Zoom meeting on creation/science.

I’m.a graphic designer and I’ve taken the golden spiral and overlaid it on top of many different real life spirals that occur in nature. Not one lines up with the golden spiral. The golden spiral is made up of many different quarter circles and that is not how a natural spiral is done. When I have overlaid them they are immediately off from one another. People are in love with the idea but the idea doesn’t match anything.

I am not surprised at all, it's just more proof, that all things, everything in the universe is connected!

Instead of starting with 0 and 1, or 1 and 1, try starting with any two positive numbers. Like 53 and 372. Add them, then keep repeating that process of addition, then compare the last two numbers. You'll find it quickly settles into the same ratio. This is just a natural consequence of the process of adding the last two numbers of a sequence. It's a feedback loop. It shows up in nature because it's a good approximation of how natural systems accumulate when there is a positive feedback mechanism. Nothing mystical required.

Who is from alpha community like here ❤

I watched for 3.63mimutes and left the rest unwatched that's a golden ratio too

One more interesting fact: the reason why golden ratio is perfect to us? It is because human eye moves 50 degrees up(20°)-to-down(30°) and 80 degrees left(30°)-to-right (50°) which is 50°:80°. Left to right consideration was for right eye and left will be viceversa. (The angles are approximations)

I saved thousands of dollars on my electricity bill because of the golden ratio, not to mention my water bill, rates, car insurance, haircuts, pet food, etc. Thanks golden ratio you changed my life!!!

These are FRACTALS a curve or geometric figure, each part of which has the same statistical character as the whole. Fractals are useful in modeling structures (such as eroded coastlines or snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth, fluid turbulence, and galaxy formation. The world - universe - is not randomly constructed - it was built with major thinking

This video has been so educational that I've shared it with my art teacher and we're going to do lessons on it, so thank again : )

Honestly. I stopped watching at 5:55 and read some comments. I got curious and then divided the total video time of 9:45 by 5:55. You have to convert to seconds because minutes arent base ten. Guess what happened. 585/367 = 1.594 which is approximately 1.6. It's just circumstantial though. The length of the video doesn't depend on how long I watch it and vice versa.

Fibronaci sequences was known in vedic mathematics thousands of years ago.

Perfectly said lol thanks. I tried to look up if anyone else has applied the golden ratio to garden design as three years ago I started my first allotment - designing it with the golden ratio :-) now I need to refresh as technical glitches (digging up 1/3 plot covered in random paving slabs a spade depth down etc ; not finished on last section…) hence going to remeasure and check planting and paths. I think it’s fab to follow this natural design. We may not comprehend why, but I think it helps. And I thing my newts slow worms and lizards love it too . Thank you for being inspiring beautiful life x

I am so happy for her, she is just great. My art work improved greatly when I started using golden ratio.

She looks like Dexters sister but her vocabulary tells us - that ain’t her. 🤣

Wow. From galaxies and plants and waves and humans the Golden Ration seems to be in everything - Almost like it's not by accident but created that way.

thats what happens when you have a perfect designer. God is perfect in every way

This is a great explanation, easy to understand. what is excitement in this video is her excitement to explain the Golden Ratio. It definitely changed my thought on how I can use this Golden Ratio technique to make things better, thank you.

Thank you, Tessa. I'm about to share this with all my design students and my fellow teachers in all subjects. You have made the information easy to see and grasp, and that makes your video a very useful tool for communicating the concept to others.

Proof of intelligent design and order behind the universe.

Glory to God for his design!

I like the way she explained the Golden Ratio. So cool how we are literally connected to nature.

Aardvark tongues and rhino horns are also constructed according to the Golden Ratio. You learn this from studying Salvador Dali even casually. He was obsessed with it

Ma'am, here's a jasmine tea. Sit down. Breathe.

I was watching this Golden Ratio video then a tornado came and took me away. Now I'm watching the 2nd half of the vid from heaven and am fully appreciating the golden ratio while eating a golden apple.

Is it just me, or is this just like finding images in the clouds? With an infinite samples to choose from, OF COURSE we can find two data points to match any ratio! 1.8, 1.9... I bet we can find those relationships too.

The Golden Ratio is what some call intelligent design.

Granted, I do find this sort of thing fascinating. SOME of it, however, is a bit of a stretch in usage. We see pics of the Golden Spiral superimposed over countless photos that certainly suggest that this ratio is used in a cognoscente manner in everything we see. Yes...the 1:1.6 ratio IS certainly used in designing many things and it most certainly has a grace about it that is pleasing to the eye. However, I think One could just as easily superimpose that spiral over just about ANY image (in one orientation or another) and see the same 'proof'. What DOES strike me curious, however, is how the Fibonacci Sequence (which IS actually a separate entity from the Greek Golden Ratio) shows up in Nature again and again. As she had allured to ...the number(s) of spirals in a pine cone, pineapple, or sunflower seeds (One has to count up ALL of the spirals possible on any given object to see this to be true). The number of petals on a flower, etc. How it is that what is, essentially, one of the most eloquently simplistic mathematical sequences manages to describe the world around us in such a precise fashion is beyond my reckoning.

Thank you and WOW! I was looking for a simple description to help me design a cob cottage. But now, with your enthusiastic language and very helpful graphics, I'll be able to do much more! Thanks again!!