How to draw a Golden Ratio Spiral
2015 ж. 23 Жел.
474 255 Рет қаралды
How to construct Golden Rectangle and Golden Spiral.
Make a Donation: www.paypal.com/cgi-bin/webscr...
This KZhead channel is dedicated to teaching people how to improve their technical drawing skills. It focusses on drawing figures from the geometric plane to descriptive geometry and also different systems of technical drawing representation.
If you subscribe, click, like or leave a comment you will be helping us to grow our channel and help more people with their technical drawing skills.
Thank you in advance.
Dubbed by Frank Shaw.
Music by Antonio Fernández Ruiz. antoniofernandez.es/
#Geometry #HowtoDraw
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
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
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!
JoJo Fanbase has already touched this comment section
Johnny
(Kiras theme plays)
JoJo Fans' Third Bomb! "IS THAT A JOJO REFERENCE?"!
*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
Golden Spin Energy!
I'm here thanks to Jojo part 7.
Same
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.
thankyou,gyro
Golden Expérience ! 🔥❤️🤗
imagine if youtube was available back when johnny is fighting valentine lol.
Very well done. No nonsense. We need more serious stuff like this on the Tube. Thanks for sharing.
This freakin video simplifies golden ratio. I now understand it. Thank you.
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
What about the 3rd arc? How do we know how big it should be
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.
arigato, gyro
fildrichz grazie to my ancestors
what
@@danielsniderman2090 it's a anime reference specifically jojo
@@lokeypokey9744 ANIME?!?
@@ZadDan95 no
Finally, I've found a Golden Rectangle and Golden Spiral on KZhead 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.
Wow!! I have watched several of these and this is by the far the easiest to understand. Thank you
Shapes and curves now have a mathematical reasoning behind them, great insight.
It is so beautiful and challenge for me. Thanks you so much.
OMG! That's epic! Thanks so much!
Thank you. It has helped me a lot in teaching my students in architectural drafting. :)
Excellent clarity. Geometry is so enjoyable when a genius teaches it👌🏽👍🌹🙏
So can you teach me to the use the spin
Finally a clear explanation!
wow, best illustration I have seen yet, thank you.
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.
Excellent explanation. Thank you so much sir. 😊🙏🏽
Great refresher lesson. Thank you.
its very helpful. we just did it today and its a great help for me thanks
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
Thank you. It helped me a lot
Really appreciate this video. Thanks Arthurgeometry very much, most helpful
Well done Arthur, Thank You.
Thanks for sharing golden ratio in the best possible way. Regards
Well taught - thank you much !
Great video. You could have called it a day at the three minute mark, you explain it perfectly!
Extraordinary!
Ah the golden rectangle
Bruh
kzhead.info/sun/paVto6VpepuXoZE/bejne.html
tusk get the ora ora
So , I showed my version to my technology art teacher , he didn't understand. And , I'm proud of that
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?
Thank you, it's really helpful.
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!
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
10/10 -IGN #niceshirt
Thank you, Sensei!!!
So cool how this is all done without any numbers
everybody gangsta till the italian executioner says : 「L E S S O N 4」
Thankyou helpful demonstration..
Thank you!
Beautiful TY!
I have a hobby for drawing. This is excellent video I have watched, with clarity of diction. With regards, and thanks. bs
Genius🔥🔥🔥
Pay Your Respects
Just wow.
thank you so much
good explanation thanks
Beautiful
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,
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.
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
thank you
Never thought about getting a tattoo, but l'm thinking about getting a golden spiral.
Great!
Good video for youtube
Very clear
Thank you
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).
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?
thanks ..
thankyou
thanks
GOLDEN ROTATION
*ratio
@@danielsniderman2090 Get lost...
Thank You
Subhanallah!What a Creator!
The association of the main numbers in the field of mathematics with each other, reflects numerical sequences that correspond to the dimensions of the Earth, the Moon, and the Sun in the unit of measurement in meters, which is: 1' (second) / 299792458 m/s (speed of light in a vacuum). Ramanujan number: 1,729 Earth's equatorial radius: 6,378 km. Golden number: 1.61803... • (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18 Moon's diameter: 3,474 km. Ramanujan number: 1,729 Speed of light: 299,792,458 m/s Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km. • (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371 Earth's average radius: 6,371 km. The Cubit The cubit = Pi - phi^2 = 0.5236 Lunar distance: 384,400 km. (0.5236 x (10^6) - 384,400) x 10 = 1,392,000 Sun´s diameter: 1,392,000 km. Higgs Boson: 125.35 (GeV) Phi: 1.61803... (125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97 Circumference of the Moon: 10,916 km. Golden number: 1.618 Golden Angle: 137.5 Earth's equatorial radius: 6,378 Universal Gravitation G = 6.67 x 10^-11 N.m^2/kg^2. (((1.618 ^137.5) / 6,378) / 6.67) x (10^-20) = 12,756.62 Earth’s equatorial diameter: 12,756 km. The Euler Number is approximately: 2.71828... Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Golden number: 1.618ɸ (2.71828 ^ 6.67) x 1.618 x 10 = 12,756.23 Earth’s equatorial diameter: 12,756 km. Planck’s constant: 6.63 × 10-34 m2 kg. Circumference of the Moon: 10,916. Gold equation: 1,618 ɸ (((6.63 ^ (10,916 x 10^-4 )) x 1.618 x (10^3)= 12,756.82 Earth’s equatorial diameter: 12,756 km. Planck's temperature: 1.41679 x 10^32 Kelvin. Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Speed of Sound: 340.29 m/s (1.41679 ^ 6.67) x 340.29 - 1 = 3,474.81 Moon's diameter:: 3,474 km. Cosmic microwave background radiation: 2.725 kelvins 160.4 GHz, Pi: 3.14 Earth's polar radius: 6,357 km. ((2,725 x 160.4) / 3.14 x (10^4) - (6,357 x 10^-3) = 1,392,000 The diameter of the Sun: 1,392,000 km. Numbers 3, 6 & 9 - Nikola Tesla One Parsec = 206265 AU = 3.26 light-years = 3.086 × 10^13 km. The Numbers: 3, 6 and 9 ((3^6) x 9) - (3.086 x (10^3)) -1 = 3,474 The Moon's diameter: 3,474 km. Now we will use the diameter of the Moon. Moon's diameter: 3,474 km. (3.474 + 369 + 1) x (10^2) = 384,400 The term L.D (Lunar Distance) refers to the average distance between the Earth and the Moon, which is 384,400 km. Moon's diameter: 3,474 km. ((3+6+9) x 3 x 6 x 9) - 9 - 3 + 3,474 = 6,378 Earth's equatorial radius: 6,378 km. Orion: The Connection between Heaven and Earth eBook
Awesome
How do you measure the arc
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
thx very useful. but I still cant understand how u measured the first arc radius!
You don't need to, the radius of the first two circles drawn only needs to be longer than half the squares sides in order to draw the line perpendicular to and in the centre of the squares side.
Hi , your videos are really good . Could you please do the theodorus cycle Please
🙏🙏🙏
Tusk Act4
We wer made to live forever
Good tutorial
Arigato, gyro
Propre
Perpendicular line to obtain 4th vertex of original golden rectangle wasn't CONSTRUCTED, but merely eyeballed.
Nor is it the golden spiral but instead it is the Fibonacci spiral.
Nice vid, dont mind the presidents, fingernails or steel balls
is this pure construction
Arigato Gyro
but what should the measurement be from point c to d when you start out
Hi Thanks for your question. The length from point c to d is the length of the side of the given square. This length can be any length depending on the size of the square you start with.
yep, any size you want! :D It's a square :)
similar to Scorpion tail.
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.
What was the dimensions of your starting square?
You choose. For example, 10 cm.