Well paced and informative. I bought a book that talked about this spiral and tried to do it but the book didnt actually tell me how to figure out the dimensions.
Excellent. Thank you.

Interesting Sherrie, I just gave my talk on Islam, Mathematics, and Culture to the Masonic Lodge where I live. I've never been in their building before. It was very enjoyable and they were a very accommodating group. I like your youtube channel.

you are supposed to use a compass when you drop it down.
you would put one side of the compass to the mid point on one of the sides and the other side of the compass to the corner of the square.
follow the diagonal line.

You neglect one very important step to the understanding of this process…the divided square base…the diagonal you create….this end point on the base is anchored…fixed…to assist to create the arc…the other point of the angle line …is the end of the line…which forms the arc…in case anyone was wondering how the heck he got this arc and from what…Important step to the understanding and construction..

Oh O get it, why didn't the guy just say it. I mean he's taking the time to make this and he's leaving out obvious stuff. And why does he say drop it down. What kind of mathematical term is this? Geeze

Drop it down? You need to explain that this is done with a compass and has to be precise in order to represent the golden ratio. This is a critical step that you are leaving out. This will leave students confused and misinformed.

Thanks for your explainations, very clear. Did you see Nature by numbers video? I have a question about the hexagons if you don't mind I will ask. thanks

@andymillerisdabest Im not sure why he left this out on the video but: If you have a compass place the point on the middle of the bottom of the square ( where its divided) lengthen the compass so it aligns to the top of the corner of the square( where he begins to draw) and swing the arc down. He should hand draw it since its not accurate. hope this is helpful

The arc has the radius of the square root of 5, that's why the diagonal from the midpoint of the square to the vertex of the square is equal to the side of the same midpoint to the adjacent corner of the golden rectangle. He basically makes the arc by drawing a section of a circle of radius square root of 5. This is why the length of the initial golden rectangle is 1 + sqrt(5), because the sqrt(5) is the radius of the circle and 1 is half the length of the square.

But how are we supposed to know how big to make the arch? This driving me crazy. I drew it equal (another '1' in this case), when I realized that didn't work as I continued I tried free handing it a few times. Nothing I do adds up later on. They either all started turning into squares or the rectangle weren't the size they should be when I continued the process(es) within the original "golden rectangle". Just…what the hell?

To those who don't get the arc part: get a compass, fix it on the start of the diagonal line, put the pencil on the end of the diagonal and drop it down clockwise.

If you forget the actual formula for the golden ratio, an easy way to approximate it: start w a "fraction" w 2 as the numerator & 1 as the denominator (2/1=2). Sum the numerator & denominator to get your new numerator & use the old numerator as your new denominator ((2+1)/2=1.5). Keep repeating this method (5/3=1.6, 8/5=1.625…), & you get closer & closer to the golden ratio. At 6765/4181, you get the same value that you get for the golden ratio as displayed on a standard calculator: 1.6180339.

When he says "drop it down" he means that the distance from half way along the bottom side of the square to a corner on the opposite side equals the distance from half way along the bottom of the square to the bottom corner of a golden rectangle projected from it.

When he makes the arc from the top of the square to the bottom of the rectangle, he illustrates PI's role in projecting a golden rectangle. Interesting because the presence of PI is not clear In the formula for PHI ((1+√5)/2)

because the arch is formed by sweeping out the diagonal line (of length square root 5). think of a clock hand. The distance from the center of the clock to 12 o'clock is the same as the distance from the center of the clock to 3 o'clok. done

Origami pyramid windmill propeller skies search engine optimization company and harvest moon landing pages. Origami golden rectangle with friends and family reunion mythical creatures who hubbub about this.

Thank you so much for this. Found this very helpful and intriguing. I did have one question. How do you know at what length and how far you should draw that curved line? Or is that not important?

I hear the Golden Ratio is the most irrational number, period. But isn't that surprising that that most irrational number, should be minimal-order algebraic!

It's called genetic engineering-warping energy into frequencies into vibration. Thanks for the kind sharing*

Well paced and informative. I bought a book that talked about this spiral and tried to do it but the book didnt actually tell me how to figure out the dimensions.

Excellent. Thank you.

you are AWESOME

Interesting Sherrie, I just gave my talk on Islam, Mathematics, and Culture to the Masonic Lodge where I live. I've never been in their building before. It was very enjoyable and they were a very accommodating group. I like your youtube channel.

thx for that xD

its easy… just memorize each of the numbers in the golden ratio…

Gr8 one xD

Your explanations are very clear and easy to understand.

Are there any other ratios that create the same perpetual cycle?

"…so important they put it on a postage stamp."

at 1:22 how did he get the hypotenuse to be the square root of 5?

plz answer i need to know!

lol awesome comment!!!

Thanks for the awesome and clean explanation.

you are supposed to use a compass when you drop it down.

you would put one side of the compass to the mid point on one of the sides and the other side of the compass to the corner of the square.

follow the diagonal line.

GREAT VIDEO… really helped me with my college task!!! muwu Croatia!!!

You neglect one very important step to the understanding of this process…the divided square base…the diagonal you create….this end point on the base is anchored…fixed…to assist to create the arc…the other point of the angle line …is the end of the line…which forms the arc…in case anyone was wondering how the heck he got this arc and from what…Important step to the understanding and construction..

How did you measure the ARC degree drop!!!!!!!!!!!

Oh O get it, why didn't the guy just say it. I mean he's taking the time to make this and he's leaving out obvious stuff. And why does he say drop it down. What kind of mathematical term is this? Geeze

90 deg. arc is easy to approximate.

Drop it down? You need to explain that this is done with a compass and has to be precise in order to represent the golden ratio. This is a critical step that you are leaving out. This will leave students confused and misinformed.

Awesome, thanks this helped!

@stameyjd hahaha xD !

@frostyfredson Thank you. "Drop it down" is not mathmatics

Thanks for your explainations, very clear. Did you see Nature by numbers video? I have a question about the hexagons if you don't mind I will ask. thanks

@andymillerisdabest Im not sure why he left this out on the video but: If you have a compass place the point on the middle of the bottom of the square ( where its divided) lengthen the compass so it aligns to the top of the corner of the square( where he begins to draw) and swing the arc down. He should hand draw it since its not accurate. hope this is helpful

OK, so you convinced man-kind of the Golden Ratio.

Now get that smirk off your face!!

Good movie.

Okay it's a ratio. What's the point?

@asolutionforyou And what the heck is your point? I said ratio bro

thankyou thankyou thankyou thankyou thankyou!!!!!!!!!!!!!!!!!

dziadek!

jesteś jebnięty!

ale kocham Cię!

pijany filozof z Polski.

yah..

so how do we use it to ttake over the world?

How the hell can this video get a disslike?

This man deserves a medal.

clearest explaination on the internet!

thank you master.

What was the curve's circumfrence in the beginning?

You have no idea how excited this made me! Math is so awesome! Man, I missed it.

Great set of videos you've got here.

now if i could apply it to life 🙂

i just like how happy he looks when he does maths

@TwoDigitz | I understand what he's doing but I have no idea why he didn't just use a compass or a string or something to show that it was a circle.

Why the fuck am I watching this. D: I'm horrible at math

This is the ONLY interesting thing about math that I have ever seen…

This is really cool where the hell was it in my.high school geometry class?

this has helped me out with my music more than you would think. Thank you so much for your videos!!!!!!

THANK YOU SO MUCH!

Fuckin' MIRACLES

The arc has the radius of the square root of 5, that's why the diagonal from the midpoint of the square to the vertex of the square is equal to the side of the same midpoint to the adjacent corner of the golden rectangle. He basically makes the arc by drawing a section of a circle of radius square root of 5. This is why the length of the initial golden rectangle is 1 + sqrt(5), because the sqrt(5) is the radius of the circle and 1 is half the length of the square.

But how are we supposed to know how big to make the arch? This driving me crazy. I drew it equal (another '1' in this case), when I realized that didn't work as I continued I tried free handing it a few times. Nothing I do adds up later on. They either all started turning into squares or the rectangle weren't the size they should be when I continued the process(es) within the original "golden rectangle". Just…what the hell?

To those who don't get the arc part: get a compass, fix it on the start of the diagonal line, put the pencil on the end of the diagonal and drop it down clockwise.

If you forget the actual formula for the golden ratio, an easy way to approximate it: start w a "fraction" w 2 as the numerator & 1 as the denominator (2/1=2). Sum the numerator & denominator to get your new numerator & use the old numerator as your new denominator ((2+1)/2=1.5). Keep repeating this method (5/3=1.6, 8/5=1.625…), & you get closer & closer to the golden ratio. At 6765/4181, you get the same value that you get for the golden ratio as displayed on a standard calculator: 1.6180339.

This guy reaches his samadhi through maths! 😀

When he says "drop it down" he means that the distance from half way along the bottom side of the square to a corner on the opposite side equals the distance from half way along the bottom of the square to the bottom corner of a golden rectangle projected from it.

When he makes the arc from the top of the square to the bottom of the rectangle, he illustrates PI's role in projecting a golden rectangle. Interesting because the presence of PI is not clear In the formula for PHI ((1+√5)/2)

My classmates at school were so annoying.

We never got to go beyond 1/4 of the book!

I should learn what I couldn't. =)

THANKS Great videos!

Thank you! That helped immensely!!!

nice demonstration!

Extremely clear! Thank you!

is there a name for the line that goes from the midpoint to the top left corner of the square?

Awesome. Thanks! I really appreciate it.

HEYYY – He does the DropDown curved line FreeHand – how can that achieve consistency ?

thank you so much sir!!very good explanation..

awesome thanks, you should make a video on solving pig pen the secret writing method of many freemasons.

lol, he doubled the original values and says lets see if it'll be the same.

because the arch is formed by sweeping out the diagonal line (of length square root 5). think of a clock hand. The distance from the center of the clock to 12 o'clock is the same as the distance from the center of the clock to 3 o'clok. done

Nyo~ho

Another wonderful video!

THANK YOU !

THANKS! i really needed that.

Origami pyramid windmill propeller skies search engine optimization company and harvest moon landing pages. Origami golden rectangle with friends and family reunion mythical creatures who hubbub about this.

lesson 5, Johnny …

This just blew my mind.

Clear and simple explanation. Thank you!

So this was the reason for lesson 5…

Sequences 5? Lesson 5?

NYO HO

Has anyone told you you resemble Mr. Lee Marvin?

thanks 🙂

I'm taking lesson 2

3 more to go

Thank you so much for this. Found this very helpful and intriguing. I did have one question. How do you know at what length and how far you should draw that curved line? Or is that not important?

This guy has no idea what half these comments are saying lol

this is the lesson 5

What's the measuring unit for this?

B A L L B R E A K E R

Awesome! Thank you so much for sharing!

Thank you.

I can’t do it. I can’t do it. I can’t do it. I can’t do it.

What

So the conclusion is: Every explanation starts from infinity and ends up to infinity!!!

Fascinating revelations! Golden spiral, golden rectangle, golden ratio, nautilus shell and Fibonacci's numbers.

Arigato… Gyro

Four coin in same different side.

And how do I make my nails turn?

This comment section is gonna get worst by the time part 7 gets an anime

This is the solution for person with leg disability..

If I learn this, will I able to shot my fingernails out of my fingers and kill a dimension hopping president?

Hi! That was really helpful. Can you also solve thr ratio problem of the second rectangle with 20 square root

There's no way i can do this

I hear the Golden Ratio is the most irrational number, period. But isn't that surprising that that most irrational number, should be minimal-order algebraic!

4:21 ohh crap

نسبه ذهبيه

I’m far to dumb to comprehend what this is