How to draw a Golden Ratio Spiral

  Рет қаралды 477,530

Arthur Geometry

Arthur Geometry

8 жыл бұрын

How to construct Golden Rectangle and Golden Spiral.
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This KZfaq 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

Пікірлер: 235
@rootsxrocks
@rootsxrocks 4 жыл бұрын
I'm glad I watched this till the end, I hadn't known about finding the center of the spiral
@kareemezra1350
@kareemezra1350 2 жыл бұрын
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!
@dondankleberg4965
@dondankleberg4965 Жыл бұрын
yea it was mindblowing for me, watching golden rectangle by a mathematician makes you notice all the similarities to the universe
@DrGoji
@DrGoji 6 жыл бұрын
Golden rotation + fingernails = badass stand ability
@patricegardey-we1ln
@patricegardey-we1ln 29 күн бұрын
Part seven is incredible
@DrGoji
@DrGoji 28 күн бұрын
@@patricegardey-we1ln hands down the best part
@vintheguy
@vintheguy 5 жыл бұрын
The comment section is 30% actual comments. 10% thanking Arthur for the video. 60% jojo *𝓡𝓞𝓣𝓐𝓣𝓘𝓞𝓝*
@Lucien_M
@Lucien_M 4 жыл бұрын
Is the centre of rotation Super Smash Bros
@shmoppl3320
@shmoppl3320 3 жыл бұрын
KAITEN
@okemowendibundesbank230
@okemowendibundesbank230 2 жыл бұрын
And they say you can’t just imagine a golden rectangle out to apply spin on the steel balls, such a liar!
@Gabsboy123
@Gabsboy123 4 жыл бұрын
Learning about the Golden Ratio is truly a golden experience
@lokeypokey9744
@lokeypokey9744 3 жыл бұрын
Lesson 5
@zeropie
@zeropie 3 жыл бұрын
To be honest its pretty crazy noisy and bizzare
@Spotol
@Spotol 3 жыл бұрын
Is that a jojo reverence
@alexgy.2773
@alexgy.2773 2 жыл бұрын
@Data Redact the one w the talking map and monke?
@alexgy.2773
@alexgy.2773 2 жыл бұрын
@Data Redact that's in a lot of countries and quite popular
@bizarreswordsman4389
@bizarreswordsman4389 5 жыл бұрын
JoJo Fanbase has already touched this comment section
@antagonist1038
@antagonist1038 4 жыл бұрын
Johnny
@georgeruiz9211
@georgeruiz9211 4 жыл бұрын
(Kiras theme plays)
@starplatinum2548
@starplatinum2548 4 жыл бұрын
JoJo Fans' Third Bomb! "IS THAT A JOJO REFERENCE?"!
@Parambolumberienriatta
@Parambolumberienriatta 4 жыл бұрын
I'm here thanks to Jojo part 7.
@Ruelliots
@Ruelliots 9 ай бұрын
Same
@patricegardey-we1ln
@patricegardey-we1ln 29 күн бұрын
Same thing, because of the golden ration
@Pewbs
@Pewbs 5 жыл бұрын
imagine if youtube was available back when johnny is fighting valentine lol.
@SuperPeader
@SuperPeader 7 жыл бұрын
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.
@bruno0727
@bruno0727 3 жыл бұрын
Golden Spin Energy!
@musamor75
@musamor75 6 жыл бұрын
Very well done. No nonsense. We need more serious stuff like this on the Tube. Thanks for sharing.
@manuelzelaya7816
@manuelzelaya7816 6 жыл бұрын
*Lesson 4*
@Rimed-eu9jl
@Rimed-eu9jl 4 жыл бұрын
Ah! The golden rectangle GYRO THATS SİCK
@user-mo1kf2ox7h
@user-mo1kf2ox7h 4 жыл бұрын
R e s p e c c
@Gabsboy123
@Gabsboy123 4 жыл бұрын
I think Mista wouldn't be fond of this comment
@slavengerdrmassepoyves-mar1969
@slavengerdrmassepoyves-mar1969 2 жыл бұрын
Golden Expérience ! 🔥❤️🤗
@bethbartlett5692
@bethbartlett5692 5 жыл бұрын
Finally, I've found a Golden Rectangle and Golden Spiral on KZfaq that is presented thoroughly, drawn correctly, and delivered in a Professional Production. I very much appreciate your efforts and sharing. Best Regards !
@brunomckay1875
@brunomckay1875 2 жыл бұрын
Wasnt it just, now Im off for a Golden Shower.
@zudiekarlbalundo5350
@zudiekarlbalundo5350 4 жыл бұрын
This freakin video simplifies golden ratio. I now understand it. Thank you.
@johnwalker4642
@johnwalker4642 3 жыл бұрын
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.
@kindman7854
@kindman7854 4 жыл бұрын
thankyou,gyro
@ericsmith5104
@ericsmith5104 6 жыл бұрын
Wow!! I have watched several of these and this is by the far the easiest to understand. Thank you
@fildrichz
@fildrichz 6 жыл бұрын
arigato, gyro
@DrGoji
@DrGoji 6 жыл бұрын
fildrichz grazie to my ancestors
@fuzzbone
@fuzzbone 5 жыл бұрын
what
@lokeypokey9744
@lokeypokey9744 3 жыл бұрын
@@fuzzbone it's a anime reference specifically jojo
@ZadDan95
@ZadDan95 3 жыл бұрын
@@lokeypokey9744 ANIME?!?
@lokeypokey9744
@lokeypokey9744 3 жыл бұрын
@@ZadDan95 no
@AnTran-or1ur
@AnTran-or1ur 7 жыл бұрын
OMG! That's epic! Thanks so much!
@apen3493
@apen3493 3 жыл бұрын
everybody gangsta till the italian executioner says : 「L E S S O N 4」
@al7385
@al7385 Жыл бұрын
Finally a clear explanation!
@janinelindgren109
@janinelindgren109 3 жыл бұрын
wow, best illustration I have seen yet, thank you.
@poimenadj
@poimenadj 4 жыл бұрын
Thank you. It has helped me a lot in teaching my students in architectural drafting. :)
@electrofrying1685
@electrofrying1685 6 жыл бұрын
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.
@matthewward1346
@matthewward1346 8 ай бұрын
THANK YOU! I kept rewinding to see what the radius of the arcs should be lol
@jimbean7352
@jimbean7352 5 ай бұрын
What about the 3rd arc? How do we know how big it should be
@sidd5547
@sidd5547 5 жыл бұрын
Excellent clarity. Geometry is so enjoyable when a genius teaches it👌🏽👍🌹🙏
@Desertduleler_88
@Desertduleler_88 6 жыл бұрын
Shapes and curves now have a mathematical reasoning behind them, great insight.
@SammyTheSituation
@SammyTheSituation 3 жыл бұрын
Great refresher lesson. Thank you.
@skyfrequency615
@skyfrequency615 7 жыл бұрын
Really appreciate this video. Thanks Arthurgeometry very much, most helpful
@jbaumun
@jbaumun 4 жыл бұрын
Well taught - thank you much !
@supriyasha2543
@supriyasha2543 5 жыл бұрын
Excellent explanation. Thank you so much sir. 😊🙏🏽
@greg6107
@greg6107 7 жыл бұрын
Well done Arthur, Thank You.
@philochristos
@philochristos 4 жыл бұрын
Extraordinary!
@SarbbottamBandyopadhyay
@SarbbottamBandyopadhyay 3 жыл бұрын
This is very precise and helpful, I can't figure out why someone would downvote this video. Please keep up the good work.
@lelandtebo9016
@lelandtebo9016 Жыл бұрын
Because he didn’t draw it.
@ihyperuranium
@ihyperuranium 3 жыл бұрын
So , I showed my version to my technology art teacher , he didn't understand. And , I'm proud of that
@wilsoncely1630
@wilsoncely1630 2 жыл бұрын
Beautiful TY!
@smajum3
@smajum3 6 жыл бұрын
Thank you, it's really helpful.
@schrodingerthomson3532
@schrodingerthomson3532 7 жыл бұрын
its very helpful. we just did it today and its a great help for me thanks
@athena09ish
@athena09ish 3 ай бұрын
It is so beautiful and challenge for me. Thanks you so much.
@krishagarwal4761
@krishagarwal4761 7 жыл бұрын
Thank you. It helped me a lot
@schizodj
@schizodj 4 жыл бұрын
Thank you, Sensei!!!
@jammyjamzz
@jammyjamzz 5 жыл бұрын
So can you teach me to the use the spin
@scholab1319
@scholab1319 3 жыл бұрын
Thanks for sharing golden ratio in the best possible way. Regards
@bradtoombsey2394
@bradtoombsey2394 Жыл бұрын
Thanks alot. Very easy to follow along
@spotonlevel5629
@spotonlevel5629 2 жыл бұрын
Thankyou helpful demonstration..
@TWIFAFWTFU
@TWIFAFWTFU 6 жыл бұрын
Thank you!
@rioreason
@rioreason 7 жыл бұрын
Great video. You could have called it a day at the three minute mark, you explain it perfectly!
@iamfiq6763
@iamfiq6763 5 жыл бұрын
Ah the golden rectangle
@Rimed-eu9jl
@Rimed-eu9jl 4 жыл бұрын
Bruh
@xavierk9047
@xavierk9047 4 жыл бұрын
kzfaq.info/get/bejne/qKdkpqRiqM_Fno0.html
@RuinaVX
@RuinaVX 3 жыл бұрын
tusk get the ora ora
@ymeraliu7723
@ymeraliu7723 Жыл бұрын
Just wow.
@tubefish666
@tubefish666 6 жыл бұрын
Classical geometric construction. Same way how Greek geometers might have constructed it. Very nice, thx.
@BlacksmithTWD
@BlacksmithTWD 2 жыл бұрын
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.
@chucksaduck
@chucksaduck Жыл бұрын
So cool how this is all done without any numbers
@CASH-TO-THE-MERE101
@CASH-TO-THE-MERE101 4 жыл бұрын
Genius🔥🔥🔥
@besteriophonic
@besteriophonic 5 жыл бұрын
thank you so much
@steveguerrero9707
@steveguerrero9707 6 ай бұрын
good explanation thanks
@olaf5156
@olaf5156 8 жыл бұрын
10/10 -IGN #niceshirt
@BalwantSingh-hs3zc
@BalwantSingh-hs3zc 4 жыл бұрын
I have a hobby for drawing. This is excellent video I have watched, with clarity of diction. With regards, and thanks. bs
@brianvasquez6834
@brianvasquez6834 7 жыл бұрын
Beautiful
@traditionalateliers
@traditionalateliers 5 жыл бұрын
Great!
@SlippinmyJimmy
@SlippinmyJimmy 5 жыл бұрын
Pay Your Respects
@knkee5434
@knkee5434 3 жыл бұрын
Very clear
@laylaejjaga7993
@laylaejjaga7993 6 жыл бұрын
thank you
@WonderingAboutThat
@WonderingAboutThat 5 жыл бұрын
thanks!
@Dyslexic-Artist-Theory-on-Time
@Dyslexic-Artist-Theory-on-Time 6 жыл бұрын
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!
@worldtreehouses2692
@worldtreehouses2692 2 жыл бұрын
Thank you
@lukasspfc18
@lukasspfc18 8 жыл бұрын
Thanks bro
@gihankaushalya2876
@gihankaushalya2876 3 жыл бұрын
Thank You
@dranoelarios4788
@dranoelarios4788 7 жыл бұрын
Is this a jojo refrence
@OwO-zd5dw
@OwO-zd5dw 6 жыл бұрын
Tell him to go eat shit Johnny
@DrGoji
@DrGoji 6 жыл бұрын
Okikustsuki69 tell him yourself
@mawaru7733
@mawaru7733 5 жыл бұрын
Go eat shit! Fall off your horse!
@fuzzbone
@fuzzbone 5 жыл бұрын
no idiot
@moonrock8831
@moonrock8831 4 жыл бұрын
Daniel Sniderman yes it is u uncultured swine
@gcxred4kat9
@gcxred4kat9 4 жыл бұрын
Never thought about getting a tattoo, but l'm thinking about getting a golden spiral.
@meru7591
@meru7591 4 жыл бұрын
Subhanallah!What a Creator!
@alexp535
@alexp535 6 жыл бұрын
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
@fazeelyoosaf2044
@fazeelyoosaf2044 3 жыл бұрын
Awesome
@mirelabilic4904
@mirelabilic4904 4 жыл бұрын
Good video for youtube
@SufyanAr
@SufyanAr 7 жыл бұрын
thanks ..
@apollonia1000
@apollonia1000 3 жыл бұрын
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?
@danijelavulin5552
@danijelavulin5552 7 жыл бұрын
thanks
@xeroredgamer4008
@xeroredgamer4008 4 жыл бұрын
Tusk Act4
@erawanpencil
@erawanpencil 2 ай бұрын
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.
@likun54
@likun54 7 жыл бұрын
thankyou
@ajd8650
@ajd8650 6 жыл бұрын
GOLDEN ROTATION
@fuzzbone
@fuzzbone 5 жыл бұрын
*ratio
@MiuMiuMau-ne4hz
@MiuMiuMau-ne4hz 5 жыл бұрын
@@fuzzbone Get lost...
@kakagachezoume3473
@kakagachezoume3473 4 жыл бұрын
Propre
@carlosalexandreFAT
@carlosalexandreFAT Жыл бұрын
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
@Sokreah
@Sokreah Жыл бұрын
Arigato, gyro
@jimbean7352
@jimbean7352 5 ай бұрын
How do you measure the arc
@1973yogesh
@1973yogesh 6 ай бұрын
🙏🙏🙏
@DuongNguyenDelta
@DuongNguyenDelta 7 жыл бұрын
Good tutorial
@belg8789
@belg8789 3 жыл бұрын
Arigato Gyro
@tonyterpine5690
@tonyterpine5690 3 жыл бұрын
We wer made to live forever
@marlan5470
@marlan5470 Жыл бұрын
How do you ensure you are doing the straight lines at 90 degree angles?
@ryanb1874
@ryanb1874 2 жыл бұрын
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,
@ari-athbadminton0301
@ari-athbadminton0301 3 жыл бұрын
Hi, Can you do a tutorial for drawing the krystal spiral?
@georgeruiz9211
@georgeruiz9211 4 жыл бұрын
Nice vid, dont mind the presidents, fingernails or steel balls
@Satanic_Disciple
@Satanic_Disciple 4 жыл бұрын
2:40 golden triangle? Yeah, ok.
@Satanic_Disciple
@Satanic_Disciple 4 жыл бұрын
Of course, we all know what you meant. Thanks for this video it was a good watch.
@mathedmaven
@mathedmaven 6 жыл бұрын
Perpendicular line to obtain 4th vertex of original golden rectangle wasn't CONSTRUCTED, but merely eyeballed.
@BlacksmithTWD
@BlacksmithTWD 2 жыл бұрын
Nor is it the golden spiral but instead it is the Fibonacci spiral.
@chaoticstreamer
@chaoticstreamer 7 жыл бұрын
ORA
@fuzzbone
@fuzzbone 5 жыл бұрын
when you get 11 likes on a nonsense comment
@alicraft4290
@alicraft4290 4 жыл бұрын
@@fuzzbone when you're a boomer and don't understand jojo
@mnakhlaharradhiy2730
@mnakhlaharradhiy2730 3 жыл бұрын
@@alicraft4290 chill he pranking duh
@gcw9192
@gcw9192 6 жыл бұрын
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
@SineEyed
@SineEyed 4 жыл бұрын
*Hint:* Constants are called "constant" because they are _constant_ i.e they don't change..
@CASH-TO-THE-MERE101
@CASH-TO-THE-MERE101 4 жыл бұрын
GCW 919 🔥
@Xylophron
@Xylophron 3 жыл бұрын
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!
@BlacksmithTWD
@BlacksmithTWD 2 жыл бұрын
@@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.
@BlacksmithTWD
@BlacksmithTWD 2 жыл бұрын
@@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).
@rezamiau
@rezamiau 5 жыл бұрын
similar to Scorpion tail.
@mitron2860
@mitron2860 2 жыл бұрын
Please ad measurements also
@williamlevy6964
@williamlevy6964 3 жыл бұрын
I'm about to flex on mine craft like you never knew.
@shakeelashakeela8150
@shakeelashakeela8150 5 жыл бұрын
is this pure construction
@medotaku9360
@medotaku9360 7 жыл бұрын
1:36 Turd Vertex?
@gamekingkhandelwal3807
@gamekingkhandelwal3807 Жыл бұрын
Hi , your videos are really good . Could you please do the theodorus cycle Please
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