you probably dont give a shit but does someone know a method to log back into an instagram account?? I was stupid forgot the login password. I would appreciate any tricks you can offer me!
Completed all your spirals for "fun" today - it's been 50 years since I completed Draughting! I use CAD now but needed a refresher on the "mechanics" for a Winter Solstice wood carving of a triple spiral or triskele. Very informative, well described and I especially like your visual animated tools.
Finally, I've found a Golden Rectangle and Golden Spiral on RUclips that is presented thoroughly, drawn correctly, and delivered in a Professional Production. I very much appreciate your efforts and sharing. Best Regards !
A Golden Thread emerged...thank you. My first study of this spiral, other than Tai Chi. I spent the day working on this with paper, compass and ruler; really thorough and satisfying.
Na, Fibonacci was an italian mathematician, not a greek. What is drawn is the Fibonacci spiral, not the golden spiral. However it's the closest approximation of the golden spiral from that time we know about. He lived around 1200. Though of course we cannot exclude the possibility the greeks did so already over 1000 years before him, we don't have any evidence of them doing so.
Is the golden angle of 137.5... degrees visible in here anywhere? The center of the spiral at the very end is great, most representations stop at two equal tiny squares, but the centering feels like we're really locking into infinity.
This is an invitation to see a theory on the nature of time! In this theory we have an emergent uncertain future continuously coming into existence relative to the spontaneous absorption and emission of photon energy. In this process we even have an objective reason for the start of the Fibonacci numbers 0, 1, 1,... with the t = 0 and the positive +1 and negative -1 representing the positive and negative of electromagnetic waves with everything being based on one geometrical process. In this theory the future is not random it is based on a process of spherical symmetry forming and breaking. Spherical symmetry forms the low entropy that we see if we look back in time at the ‘big bang’ and also forms the potential for ever greater symmetry formation that we have in cell life with the Fibonacci spiral being visible almost everywhere in nature! This is because if the quantum wave particle function Ψ or probability function is reformulated as a linear vector then all the information I have found says that each new vector is formed by adding the two previous vectors together this forms the Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ∞ infinity!
HI, well explained! just wondering how do you apply this to mies van der rohe (s.r. crown hall and villa Tugendhat)? i tried to apply this but it seems ive done something wrong
Great video. One question. I imagined the spiral to have a constantly changing radius, but in the method used in the video, the radius appears constant within a specific rectangle, then changes to another constant in the subsequent rectangle(s). Can someone clarify this for me? Thanks
Yes I was also wondering if it's a simplification for easy drawing, and if yes, how different it is from the actual golden spiral? Anyone ? PS : thanks Arthur for the very good video!
@@Xylophron Yes this is a simplification of the golden spriral, however, this approximation is about as close to it as a program like autocat can get (as it has to work with quarter circles). To get a real golden spiral one needs to be able to draw arches with a declining radius, one cannot do that with a compass. It could be done by using a cone and wrapping a cord around it while having a pencil drawing from within a loop at the far side of the cord. However I'm not sure how to calculate the angle in the top of the cone in relation with the hight of the cone, the thickness of the cord used and the starting lenght of the cord. Those are four variables that all need to be right to draw a real golden spiral this way.
@@SineEyed The distance between the arches compared to the distance between the next arches or previous arches is constant in logarithmic spirals, which includes the golden spiral (where the ratio of these is the golden ratio). However, the spiral drawn in this video is not the golden spiral, it's not even a logarithmic spiral, instead it's the Fibonacci spiral, which merely is an approximation of the golden spiral. With the Fibonacci spiral in each arch going around the centre 360 degrees only 5 points match the actual golden spiral (which are at the corners of the rectangles in this video).
Let me guess, some number by 1.618, then sqare, quarter inscriberd, then keep dividing down, if you have ever went from a circular outside on lathe (plate) with a marker, down to the center in exactly 1 revolution, it looks like a more concentric golden ratio spiral, I wonder what it would look like to plot square over a quarter inscribed circle sections,
This tutorial is awesome ,but can anyone please tell at the beginning from C to D ,is it half the square for cutting the arcs? But it looks more than half
@@ArthurGeometry oh sorry... That was one of the dumbest questions I've ever asked.... 😥😥😥 I just figured out... Drew two of them a few minutes ago... Thanks for your help buddy...
approximately the golden ratio is 1.618033988749894. Meaning that if you want a rectangle with the golden ratio where the short side is 9.2 cm. then the longer side needs to be about 1.618033988749894 * 9.2 cm = 14.8859126964990248 cm. So no you cannot have a golden ratio rectangle of 22.4 cm * 9.2 cm, since 22.4 : 9.2 is about 2,4347826086956521739130434782609, which does not equal the golden ratio of about 1.618033988749894.
I'm glad I watched this till the end, I hadn't known about finding the center of the spiral
you probably dont give a shit but does someone know a method to log back into an instagram account??
I was stupid forgot the login password. I would appreciate any tricks you can offer me!
yea it was mindblowing for me, watching golden rectangle by a mathematician makes you notice all the similarities to the universe
Golden rotation + fingernails = badass stand ability
Part seven is incredible
@@episode3333 hands down the best part
The comment section is
30% actual comments.
10% thanking Arthur for the video.
60% jojo *𝓡𝓞𝓣𝓐𝓣𝓘𝓞𝓝*
Is the centre of rotation Super Smash Bros
KAITEN
And they say you can’t just imagine a golden rectangle out to apply spin on the steel balls, such a liar!
Learning about the Golden Ratio is truly a golden experience
Lesson 5
To be honest its pretty crazy noisy and bizzare
Is that a jojo reverence
@Data Redact the one w the talking map and monke?
@Data Redact that's in a lot of countries and quite popular
JoJo Fanbase has already touched this comment section
Johnny
(Kiras theme plays)
JoJo Fans' Third Bomb! "IS THAT A JOJO REFERENCE?"!
Golden Spin Energy!
Completed all your spirals for "fun" today - it's been 50 years since I completed Draughting! I use CAD now but needed a refresher on the "mechanics" for a Winter Solstice wood carving of a triple spiral or triskele. Very informative, well described and I especially like your visual animated tools.
I'm here thanks to Jojo part 7.
Same
Same thing, because of the golden ration
Finally, I've found a Golden Rectangle and Golden Spiral on RUclips that is presented thoroughly, drawn correctly, and delivered in a Professional Production.
I very much appreciate your efforts and sharing.
Best Regards !
Wasnt it just, now Im off for a Golden Shower.
Very well done. No nonsense. We need more serious stuff like this on the Tube. Thanks for sharing.
Golden Expérience ! 🔥❤️🤗
imagine if youtube was available back when johnny is fighting valentine lol.
*Lesson 4*
Ah! The golden rectangle
GYRO THATS SİCK
R e s p e c c
I think Mista wouldn't be fond of this comment
arigato, gyro
fildrichz grazie to my ancestors
what
@@fuzzbone it's a anime reference specifically jojo
@@lokeypokey9744 ANIME?!?
@@ZadDan95 no
This freakin video simplifies golden ratio. I now understand it. Thank you.
A Golden Thread emerged...thank you. My first study of this spiral, other than Tai Chi. I spent the day working on this with paper, compass and ruler; really thorough and satisfying.
Wow!! I have watched several of these and this is by the far the easiest to understand. Thank you
Finally a clear explanation!
This is very precise and helpful, I can't figure out why someone would downvote this video. Please keep up the good work.
Because he didn’t draw it.
OMG! That's epic! Thanks so much!
This video is great but it fails to mention at step1; select any arc size more than half the square to locate the midpoint between C and D.
THANK YOU! I kept rewinding to see what the radius of the arcs should be lol
Thank you so much, I was looking for this!
Thank you! the only error in an otherwise perfect explanation.
Shapes and curves now have a mathematical reasoning behind them, great insight.
wow, best illustration I have seen yet, thank you.
Excellent clarity. Geometry is so enjoyable when a genius teaches it👌🏽👍🌹🙏
Ah the golden rectangle
Bruh
ruclips.net/video/rA4sA1CianY/видео.html
tusk get the ora ora
Thank you. It has helped me a lot in teaching my students in architectural drafting. :)
Thanks for sharing golden ratio in the best possible way.
Regards
So can you teach me to the use the spin
Classical geometric construction. Same way how Greek geometers might have constructed it. Very nice, thx.
Na, Fibonacci was an italian mathematician, not a greek. What is drawn is the Fibonacci spiral, not the golden spiral. However it's the closest approximation of the golden spiral from that time we know about. He lived around 1200. Though of course we cannot exclude the possibility the greeks did so already over 1000 years before him, we don't have any evidence of them doing so.
Thanks alot. Very easy to follow along
everybody gangsta till the italian executioner says : 「L E S S O N 4」
Thank you! Geometry is Majick!
Great refresher lesson. Thank you.
Thankyou helpful demonstration..
So , I showed my version to my technology art teacher , he didn't understand. And , I'm proud of that
10/10
-IGN
#niceshirt
It is so beautiful and challenge for me.
Thanks you so much.
Really appreciate this video. Thanks Arthurgeometry very much, most helpful
Is this a jojo refrence
Tell him to go eat shit Johnny
Okikustsuki69 tell him yourself
Go eat shit! Fall off your horse!
no idiot
Daniel Sniderman yes it is u uncultured swine
Well done Arthur, Thank You.
Well taught - thank you much !
Thanks for the tip on GeoEnzo!
Beautiful TY!
Extraordinary!
So cool how this is all done without any numbers
Just wow.
good explanation thanks
its very helpful. we just did it today and its a great help for me thanks
Thank you.
It helped me a lot
Great video. You could have called it a day at the three minute mark, you explain it perfectly!
Excellent explanation. Thank you so much sir. 😊🙏🏽
Thank you, Sensei!!!
I have a hobby for drawing. This is excellent video I have watched, with clarity of diction. With regards, and thanks. bs
Thank you, it's really helpful.
GOLDEN ROTATION
*ratio
@@fuzzbone Get lost...
*Shower
Very clear
Thank you❤
Genius🔥🔥🔥
Good video for youtube
Awesome
thank you so much
Can i please know the measurment of the rectangle you started with
I start with a square with a side of 10 cm
Subhanallah!What a Creator!
Thank you!
Is the golden angle of 137.5... degrees visible in here anywhere? The center of the spiral at the very end is great, most representations stop at two equal tiny squares, but the centering feels like we're really locking into infinity.
Beautiful
This is an invitation to see a theory on the nature of time! In this theory we have an emergent uncertain future continuously coming into existence relative to the spontaneous absorption and emission of photon energy. In this process we even have an objective reason for the start of the Fibonacci numbers 0, 1, 1,... with the t = 0 and the positive +1 and negative -1 representing the positive and negative of electromagnetic waves with everything being based on one geometrical process. In this theory the future is not random it is based on a process of spherical symmetry forming and breaking. Spherical symmetry forms the low entropy that we see if we look back in time at the ‘big bang’ and also forms the potential for ever greater symmetry formation that we have in cell life with the Fibonacci spiral being visible almost everywhere in nature! This is because if the quantum wave particle function Ψ or probability function is reformulated as a linear vector then all the information I have found says that each new vector is formed by adding the two previous vectors together this forms the Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ∞ infinity!
Pay Your Respects
Instructions unclear I've spun my nail onto the spiral and trapped the president of the united states in an infinite spin
Never thought about getting a tattoo, but l'm thinking about getting a golden spiral.
Arigato, gyro
Thanks for this Arthur. What degree setting do you have the compass set at to draw all these circles? Or does any consistent degree setting work?
HI, well explained!
just wondering how do you apply this to mies van der rohe (s.r. crown hall and villa Tugendhat)?
i tried to apply this but it seems ive done something wrong
Great!
What was the dimensions of your starting square?
You choose. For example, 10 cm.
thanks!
How do you ensure you are doing the straight lines at 90 degree angles?
Hi, Can you do a tutorial for drawing the krystal spiral?
Arigato Gyro
Great video. One question. I imagined the spiral to have a constantly changing radius, but in the method used in the video, the radius appears constant within a specific rectangle, then changes to another constant in the subsequent rectangle(s). Can someone clarify this for me? Thanks
*Hint:* Constants are called "constant" because they are _constant_ i.e they don't change..
GCW 919 🔥
Yes I was also wondering if it's a simplification for easy drawing, and if yes, how different it is from the actual golden spiral? Anyone ? PS : thanks Arthur for the very good video!
@@Xylophron
Yes this is a simplification of the golden spriral, however, this approximation is about as close to it as a program like autocat can get (as it has to work with quarter circles). To get a real golden spiral one needs to be able to draw arches with a declining radius, one cannot do that with a compass. It could be done by using a cone and wrapping a cord around it while having a pencil drawing from within a loop at the far side of the cord. However I'm not sure how to calculate the angle in the top of the cone in relation with the hight of the cone, the thickness of the cord used and the starting lenght of the cord. Those are four variables that all need to be right to draw a real golden spiral this way.
@@SineEyed
The distance between the arches compared to the distance between the next arches or previous arches is constant in logarithmic spirals, which includes the golden spiral (where the ratio of these is the golden ratio). However, the spiral drawn in this video is not the golden spiral, it's not even a logarithmic spiral, instead it's the Fibonacci spiral, which merely is an approximation of the golden spiral. With the Fibonacci spiral in each arch going around the centre 360 degrees only 5 points match the actual golden spiral (which are at the corners of the rectangles in this video).
Wat is the length of the square
Nice vid, dont mind the presidents, fingernails or steel balls
Good tutorial
thank you
Thanks bro
Let me guess, some number by 1.618, then sqare, quarter inscriberd, then keep dividing down, if you have ever went from a circular outside on lathe (plate) with a marker, down to the center in exactly 1 revolution, it looks like a more concentric golden ratio spiral, I wonder what it would look like to plot square over a quarter inscribed circle sections,
We wer made to live forever
2:40 golden triangle? Yeah, ok.
Of course, we all know what you meant. Thanks for this video it was a good watch.
is this pure construction
Hi , your videos are really good . Could you please do the theodorus cycle Please
Propre
thanks
thanks ..
Please ad measurements also
🙏🙏🙏
This tutorial is awesome ,but can anyone please tell at the beginning from C to D ,is it half the square for cutting the arcs? But it looks more than half
Real-time window so say if C and D is 10 centimetre ,so i should adjust the compus to 5cm and draw it right?
Time-lapse window thnks! :D
Are the golden spiral and Pythagorean spiral same...???
No, they are different
@@ArthurGeometry oh sorry... That was one of the dumbest questions I've ever asked.... 😥😥😥
I just figured out... Drew two of them a few minutes ago... Thanks for your help buddy...
Sir, can u help me to find out the Golden Ratio in the size of 22.4 cm.x 9.2 cm of Rectangle. I'm confused to find out.
approximately the golden ratio is 1.618033988749894. Meaning that if you want a rectangle with the golden ratio where the short side is 9.2 cm. then the longer side needs to be about 1.618033988749894 * 9.2 cm = 14.8859126964990248 cm.
So no you cannot have a golden ratio rectangle of 22.4 cm * 9.2 cm, since 22.4 : 9.2 is about 2,4347826086956521739130434782609, which does not equal the golden ratio of about 1.618033988749894.
thankyou
How did I get ri this 🤔