The Fibonacci Sequence and the Golden Ratio

This video introduces the mysterious and mystical Fibonacci Sequence and explores its relationship to the Golden Ratio. While filmed with a fifth grade audience in mind, it should be accessible to kids as young as fourth grade . Hopefully it's interesting to everyone.
If you're interested in learning more about the golden ratio and other mathematical sorcery, I can't say enough about this book:
amzn.to/1Gccuas
#khanacademytalentsearch, #phi, #goldenratio, #fibonacci, #math, #geometry

Пікірлер: 281

  • @MrKevin-ul1qp
    @MrKevin-ul1qp5 жыл бұрын

    Whoa! I just came back to this after a time away. Never thought so many people would view it. Thanks so much for your support. Maybe I should do another...

  • @Rachel-rr8mf

    @Rachel-rr8mf

    5 жыл бұрын

    Please do if you're having fun sharing math and making vids too :) . Thank you for sharing this. im 31 but just starting to learn about golden ratios and sacred numbers. This is great and i love your presentation. The kids and the dog are cute at the end of your video 😄. I will show this to my mom too who still loves to learn new things. she's great in math as an accountant and she's 63 now but i don't think she learned this at school. You've got a new subscriber here today. Love from the Philippines 💚🌏

  • @trailtrs1

    @trailtrs1

    4 жыл бұрын

    I found as a teacher of the Japanese art of iado (SWORP draw with katana) that all our draws, if done properly draw at a golden ratio, Fibonacci sequence. If done with this in mind and disciplined with training you get maximum speed and striking power which turns into maximum cutting ability and Jules of stored energy released at the 3rd keyogi (last 1/3 of the blade). This gives you maximum cutting ability. I first discovered it doing draws with the blade and then wondering why the ancient samari always drew the nautilus shell or waves in their art. They were hiding their secret of speed and precision in their art, as both are built on the Fibonacci sequence.

  • @jamesfarrell1116

    @jamesfarrell1116

    4 жыл бұрын

    I love your energy Great video

  • @jamesjewkiller1630

    @jamesjewkiller1630

    4 жыл бұрын

    Teslas 3 6 9 would be the perfect follow up!

  • @rocklemillion8041

    @rocklemillion8041

    4 жыл бұрын

    Mr. Kevin couldn’t us finding these patterns in nature and art also be chocked up to humans proclivity to find pattern and meaning in things?

  • @tomwolf6353
    @tomwolf63534 жыл бұрын

    This is a perfect example on how the KZread should be used to teach people. Great channel!

  • @Mcastill11

    @Mcastill11

    3 жыл бұрын

    no i disagree

  • @krishugmukhia6022
    @krishugmukhia60224 жыл бұрын

    If this teacher could have had taught me math back in school...

  • @possible1513

    @possible1513

    4 жыл бұрын

    I wish tooo

  • @seamus9305
    @seamus93054 жыл бұрын

    My favorite example is in a pine branch (pitch pine is best). It grows in two spirals in Fibonacci proportion. They run in opposite directions and everywhere they cross an event happens, a pine needle grows.

  • @marcuspi999
    @marcuspi9996 жыл бұрын

    The dog was running in a Fibonacci spiral

  • @Mrkientube

    @Mrkientube

    6 жыл бұрын

    Great observation

  • @houaidasabbagh5509

    @houaidasabbagh5509

    5 жыл бұрын

    cool

  • @ThatsJustPeachy1871

    @ThatsJustPeachy1871

    4 жыл бұрын

    Yes!!😂🤣😂🤣 That was so funny!

  • @penelope8557

    @penelope8557

    4 жыл бұрын

    HA HA HA!!!

  • @hizzoflow2795

    @hizzoflow2795

    4 жыл бұрын

    Uuuuuuuuuhhhhhhhhhh so cool is that the one that you can have a good day at work

  • @sofiatheone7
    @sofiatheone74 жыл бұрын

    Thanks for explaining The Golden Ratio in a simplistic way. I have known about it for some years now, but you have definitely enabled me to get a better understanding of how the patterns start to form, etc. 🙏🏽💕

  • @jacobblack4284
    @jacobblack42846 жыл бұрын

    I LOVE this. Thank you for the explanation in PLAIN ENGLISH.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    You are most welcome! Thanks for the feedback.

  • @mookth3mystro535
    @mookth3mystro5357 жыл бұрын

    the best explanation so far. thank you

  • @prosperity.
    @prosperity.5 жыл бұрын

    How Amazing Are You!!! ♥️ Omg!! Saved!! Professors, Tutors, Textbooks, You Tube Vids... Left me clueless!!! Until You Saved the Day.. I can't thank you enough!!!! Thank you..

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    My pleasure, Marsha.

  • @josephtermeer5196
    @josephtermeer51964 жыл бұрын

    Thank you very much for posting this. I am studying art and have come across this rule. I never learned this in the "advanced" art classes in high school. It was not even introduced in college. I must have been in the lower federally funded school district.

  • @pantherplatform
    @pantherplatform4 жыл бұрын

    _Now_ my mind is blown. I've watched countless videos on this truth but none of them explained how the Fibonacci numbers were directly related to the golden ratio.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thanks! I appreciate you watching.

  • @christinaabunaw1903
    @christinaabunaw19037 жыл бұрын

    Thanks. This is just the video i needed to see. It explains this series in the simplest manner.

  • @fredfromoz2788
    @fredfromoz27884 жыл бұрын

    Hey that was cool to know where Phi comes from. Can you please do a similar presentation for Pi (circle)? Thank You

  • @beethovensg
    @beethovensg4 жыл бұрын

    Credit to your effort, it is important and fantastic. The kids are forever more intuitive for this one act alone. Great for you!

  • @mattlast4093
    @mattlast40934 жыл бұрын

    so cool that you engage your children that way

  • @batuhansonmez5331
    @batuhansonmez53312 жыл бұрын

    Also there is a relationship between Fibonacci Sequence and Euler’s Numbers.Please search on internet by this title “Quantum Perspective Model by Tahir Ölmez

  • @CARLESIUS
    @CARLESIUS2 жыл бұрын

    The difference equation that defines the Fibonacci sequence is: Delta ^ 2 F + Delta F - F = 0 Its characteristic equation is: r ^ 2 + r - 1 = 0 so the roots of this quadratic equation are - (1 + sqrt (5)) / 2 and - (1 - sqrt (5)) / 2 The initial conditions of this difference equation are: F (0) = 0 and Delta F (0) = 1 which leads to the algebreic expression for the nth term of this sequence: F (k) = (((1 + sqrt (5)) / 2) ^ k - ((1-sqrt (5)) / 2) ^ k) / sqrt (5) On the other hand, given a segment of length 1, divided into two segments of length x and (1-x), these 3 segments satisfy the golden ratio if the proportions are given: x / 1 = (1-x) / x This relationship also leads to the cadratic equation: x ^ 2 + x - 1 = 0 So there is no mystery.

  • @ddelarosa88
    @ddelarosa886 жыл бұрын

    Never seen it explained like that. Awesome vid. Thanks for the help/clarification

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Cheers, Donny.

  • @sugunamahesh5884
    @sugunamahesh58847 жыл бұрын

    Really great video! Thank you so much.

  • @tessellatiaartilery8197
    @tessellatiaartilery81976 жыл бұрын

    Great video. Explanation of the numbers sequence, how the ratio is 'derived' and showing visually with the graphic sections very clear. Nice activity with the calipers for seeing the ratio in nature outside too. Thanks for making and sharing this.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Thanks for the feedback, AJ. I got the idea of building the calipers from the book "The Beginner's Guide to Constructing the Universe" by Michael S. Schneider

  • @lisahughesnowwilhelmi2465
    @lisahughesnowwilhelmi24656 жыл бұрын

    Great explanation of both the Fibonacci and the Golden R. My "Golden R" essay is due in a few days and I have looked up the basic who, what, where and when's but didn't understand what it was that got folks so excited.... It appears that many "thinkers" find it so fascinating that they allocate precious personal hours/days/weeks etc., just thinking about that rascal R in terms of Fib as well as Phi. I think I am beginning to understand because I went on to watch the "Log e" and understood the compounding interest formulas. Oh, happy day! May 11, 2018 06:53:10;)

  • @MsPinecone123
    @MsPinecone1235 жыл бұрын

    Wow I wonder if the woman who first designed the log cabin quilt block knew that this is the same pattern.

  • @echomei7070

    @echomei7070

    4 жыл бұрын

    I heard someone use FS to learn Spanish . How did it work? Can you explain it ?

  • @oliverwenath
    @oliverwenath4 жыл бұрын

    Thanks for explaining the number Phi, the golden ratio so nicely and understandable!

  • @professordeb
    @professordeb Жыл бұрын

    The calipers are genius, Mr. Kevin! I may steal that! Very nice presentation.

  • @jayjhaveri1906
    @jayjhaveri19067 жыл бұрын

    too good explaination 😍

  • @solapowsj25
    @solapowsj254 жыл бұрын

    In fluid physics, there are 24 ones around a two, each power in an x-plane, forming a solid three with one set of fluid forces at 'c' (energy waves 🌊and fields), and the next having the graviton, fermi fermat, vortex, etc.... Just by intuition. Great presentation.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thanks! I have no idea what you just said, but I appreciate you watching.

  • @shoshinw0500
    @shoshinw05005 жыл бұрын

    Big Big help! Thank you for sharing. Simple and plain!!! Really appreciated!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    You are most welcome.

  • @pigeonmanof180
    @pigeonmanof1804 жыл бұрын

    Nice hat.......and thanks for sharing one of the most profound and important foundations of good design.

  • @AliceSunflower
    @AliceSunflower4 жыл бұрын

    The kids finding phi on the dog is SOOO ADORABLE! Dog wasn’t having it! LOL

  • @scottielambert9312
    @scottielambert93124 жыл бұрын

    Exceptional post fella! Positive and thought provoking. I use this as a tool for trading but the eloquence and relatability of it is a bit astounding. Thanks for posting.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thanks, Scottie

  • @fawzihatem1238
    @fawzihatem12384 жыл бұрын

    almost all videos on KZread extremely complicated I couldn't understand anything but you and the you explained it to me was absolutely simple and great thank you so much for that it's a lovely video I wish you could more subscribed to a channel

  • @jimjr4432
    @jimjr44324 жыл бұрын

    Love the t-shirt!!

  • @aurorapintore9356
    @aurorapintore93565 жыл бұрын

    interesting. Thank you!

  • @monicabilicic9479
    @monicabilicic94794 жыл бұрын

    Omg I need one 👏👏👏

  • @robfordgerrans6076
    @robfordgerrans60767 жыл бұрын

    Iv watched 3 videos trying to understand how this ratio actually works and this is by far the best one. great work!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Thanks, Rob. I appreciate it.

  • @jamesfarrell1116
    @jamesfarrell11164 жыл бұрын

    I love your energy. Great video 📹

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thank you so much!! Hope you subscribe and check out my other videos.

  • @user-xj8xz3yf8u
    @user-xj8xz3yf8u4 жыл бұрын

    Thank you🙏

  • @STgauss3268
    @STgauss32685 жыл бұрын

    the 'share' button of KZread looks and goes like a spiral representing golden ratio

  • @dnimeerf9532
    @dnimeerf95326 жыл бұрын

    Great work, this kind of educational curiosity is important.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Couldn't agree more.

  • @BusinesssValues
    @BusinesssValues Жыл бұрын

    Thank you. I understood the adding of the numbers for the Fibonacci Sequence, but, I never knew the division to get Phi . I had heard of the Golden Ratio but didn't quite get how it tied to the Fibonacci Spiral. I had seen the callipers but had not seen such a fun experiment. Tis is excellent. Again, thank you.

  • @johnallen7367
    @johnallen73674 жыл бұрын

    Hi from Australia. Thank you so much for enriching my evening. Im genuinely grateful.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Very kind of you, John. And, my pleasure. Thanks for watching.

  • @josephcampese5347
    @josephcampese53474 жыл бұрын

    @Mr. Kevin....very interesting. but I for one need some baby steps between the division (that I understand) to the graphic you drew with the spiral. what makes the spiral a 1.6 ratio? what are the different points in the different color boxes represent? can you flush that out a bit more?

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    The colors mean nothing. Just makes it easier to see. The spiral generated actually only approaches a true "golden" spiral, but the fibonacci numbers approach it more closely and more closely as I illustrated earlier. Unfortunately, the grid box demonstration doesn't yield that true ratio, and some may nitpick about that, but I thought it was an interesting illustration for my students so that they could see of numbers at play in the world. If you're really interested in just how the fibonacci sequence generates the spiral, a quick search on Google will give you all the detail you can handle. Thanks for watching!

  • @hkginger
    @hkginger6 жыл бұрын

    THUMBS UP! Thank you for the clear explanation of Fibonacci sequence and golden ration. Barb

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    You are most welcome, Barb.

  • @KipIngram
    @KipIngram4 жыл бұрын

    Ok, that was really cute - the way you wrapped that up.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Cheers! Appreciate you watching until the end. Your kind is rare!

  • @markgreen9567
    @markgreen95676 жыл бұрын

    Thank you Kevin! Simple genius. Now onto make my Caliper Gauge!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Cool! I found directions to make the calipers in the book "The Beginner's Guide to Constructing the Universe" by Michael S. Schneider. If you're looking for a really good use for those calipers, and you don't mind people looking at you funny, you should take them to an art museum! Life changing!

  • @hizzoflow2795

    @hizzoflow2795

    4 жыл бұрын

    mark green tea was the first day of my day hahahahaha lol bruh is my day I got this game and I was wondering how to make it to the gym now or I’ll go get back with my bro

  • @sarandavaa5109
    @sarandavaa51096 жыл бұрын

    Great video!

  • @angelajoanowens
    @angelajoanowens4 жыл бұрын

    Well explained.

  • @suzannesaidso3079
    @suzannesaidso30794 жыл бұрын

    What an awesome back yard they get to play in! Great video!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Yes, I miss it everyday. We live in Thailand now, so it's beautiful in a different way. Thanks for watching.

  • @mrs.fontana4685
    @mrs.fontana46853 жыл бұрын

    Thanks for this! It's a tough concept to explain!

  • @came2425
    @came24254 жыл бұрын

    when he says turn it off lol

  • @ironicdivinemandatestan4262
    @ironicdivinemandatestan42624 жыл бұрын

    Lesson 5, Johnny.

  • @23danibell
    @23danibell4 жыл бұрын

    Awesome video ... easy to follow 👌 great learning tool .seems very important to know this more than ever . So happy to see you teaching your boys this information! 😀💛💜💚💙 thank you 😊

  • @TheShavarin
    @TheShavarin4 жыл бұрын

    very nice, thanks for making this video..

  • @rowenalaniig7924
    @rowenalaniig79246 жыл бұрын

    Thanks... I understand this much better

  • @thelogos5617
    @thelogos56174 жыл бұрын

    Awesome work! 👏🏻👏🏻👏🏻

  • @coltondiondion
    @coltondiondion4 жыл бұрын

    I understand the golden ratio, but what I don't understand is when we draw the Fibonacci sequence through squares it looks like to me that the square next isn't 1.618 times larger. It just looks like it's 1.75 times larger. A rectangle split into sixths. Help.

  • @conantdog
    @conantdog5 жыл бұрын

    Excellent video excellent description and graphics I liked it very much. 👍

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Thanks! I just came back across this after quite a long time and was shocked to see so many views! Glad it was useful to you.

  • @I-am-the-Magus
    @I-am-the-Magus4 жыл бұрын

    Gyro himself couldn't have explained it better.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thank you!

  • @Desertduleler_88
    @Desertduleler_885 жыл бұрын

    My father never told me about this when I was a youngster.

  • @reallyshiesty2436

    @reallyshiesty2436

    4 жыл бұрын

    Youngster😂

  • @neildunbar1231
    @neildunbar12315 жыл бұрын

    Just watched it, very good and easy to understand, but someone found a toad that was more interesting.

  • @SixCarino
    @SixCarino4 жыл бұрын

    Thanks for thia video. You deserve more subscribers!

  • @kennethhowell5291
    @kennethhowell52914 жыл бұрын

    Thank you! A real revelation! Thank you Sir!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    You are very welcome

  • @breakreek9552
    @breakreek95526 жыл бұрын

    Wow amazing

  • @ThonyGuRu
    @ThonyGuRu7 жыл бұрын

    super cool!

  • @Realityscopee
    @Realityscopee2 жыл бұрын

    this video explains it so eaisly and clearly.. wow

  • @syedazehra9497
    @syedazehra94975 жыл бұрын

    that was a very educational video as well as interesting

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Thanks, Syeda.

  • @Fibonacci_r56
    @Fibonacci_r562 ай бұрын

    This was amazing, 😮you made me understand better 🙏

  • @viktorkarlsohn3705
    @viktorkarlsohn37053 жыл бұрын

    and he got it from the 10th Book of Pythagoras, as the Unending Fraction, 300 BC, who got it from Ezekiel, 550 BC

  • @gplunky
    @gplunky4 жыл бұрын

    Thank You Mr. Kevin

  • @laman8914
    @laman89144 жыл бұрын

    Thank you for the insight into one of the fundamentals of nature. Btw, you've got 2 nice kids that look as smart as you. Take good care of them and teach them well.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thanks for watching and for the nice compliment on my boys. I'm accutely aware of how fortunate I am.

  • @jujubean222
    @jujubean2223 жыл бұрын

    omg..such a great video..in trying to look for a video I can understand, the others just made me more confuse! 🥴 The big words and out of this world computation.😁 Thank you.

  • @skipd9164
    @skipd91644 жыл бұрын

    Was the fibonacci sequence basically used to create the first computer virus. Basically quickly overloading the processor

  • @mizouman
    @mizouman4 жыл бұрын

    thank you for sharing such informative video, I've seen that spiral on many occasion, but never understood it. many thanks to you

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    You are most welcome. Thanks for watching.

  • @RiyadhAlDuwaisan
    @RiyadhAlDuwaisan6 жыл бұрын

    Hi there ... whats the name of the program u used graph papre 2 draw ? thnx

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Hi Riyadh. The program I used was the software that came with my SmartBoard in the school I worked at. I believe it was called Promethean Activ.

  • @gsc1985
    @gsc19857 жыл бұрын

    What software app are you using for the graph paper? Thanks!!!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    I believe it was called Promethean Activ. It was the software that came with my school SmartBoard.

  • @claudeclovisleriche8002
    @claudeclovisleriche80023 жыл бұрын

    Many thanks for the clearness of your demonstration and video. I’d like to know the name of your app. I’got an ipad, can I find it in appstore ? Thanks for your information. C.L

  • @vgovger4373
    @vgovger43734 жыл бұрын

    It seems that anything which is impacted by gravity must follow the golden ratio. Otherwise if I choose to draw perfect circle or build a building that is 1775 feet then the golden ratio does not exist or is needed.

  • @hibahsairafi7511
    @hibahsairafi75117 жыл бұрын

    thank you

  • @swradios
    @swradios4 жыл бұрын

    At 4:48 you describe how the 1.68 number was related to the 2 square being 1.68 larger than the two 1 squares. I don't follow this. Please explain.

  • @maimon1

    @maimon1

    4 жыл бұрын

    The ratios form a sequence of numbers that "tends" to 1.618. here is the sequence: 2.0000 1.5000 1.6667 1.6000 1.6250 1.6154 1.6190 1.6176 1.6182 1.6180 1.6181 1.6180 1.6180 1.6180 1.6180 1.6180 1.6180 1.6180 . . .

  • @hizzoflow2795

    @hizzoflow2795

    4 жыл бұрын

    Ccccccccccccccccoooooooooooooollllllllllllllllll

  • @angrybeaverwoodworks
    @angrybeaverwoodworks Жыл бұрын

    Great video and a great channel

  • @MicheleEngel
    @MicheleEngel4 жыл бұрын

    I still don't get it. When you show how the calipers fit your son's face the first time, you're excited because the mid-point of the caliper hits just below his eye. But what is the significance of that? What makes it so special? Then you reverse the calipers and show that the middle point hits the center of his forehead. Again, what is the significance of that? Is it that no matter whose head you try that on, the result is the same? If so, you need to say so. People always demo this principle in isolation--using a specific painting or a shell they find on the beach or a flower. So I never understand what the big deal is. Can someone clarify this for me?

  • @evasionwarsofficial9994
    @evasionwarsofficial99944 жыл бұрын

    Part 7 Readers screaming Nani! P.S. This is a really good video!

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Thanks for watching!

  • @ebenwaterman5858
    @ebenwaterman58584 жыл бұрын

    Nice vid. I tried to find PHI in an ice cream cone. Never found it. LOL :)

  • @carlpen850
    @carlpen8504 жыл бұрын

    Does Fe Fi Fo Fum count ?

  • @blo0dystory
    @blo0dystory7 жыл бұрын

    i wish i had a dad like you all i can remember is my father kicking my ass

  • @Mrkientube

    @Mrkientube

    6 жыл бұрын

    JAJAJAJAJAA

  • @death2pc

    @death2pc

    4 жыл бұрын

    And darned well he did!

  • @penelope8557
    @penelope85574 жыл бұрын

    Careful. Don't poke little Tobin's eye out with those "calipers".

  • @henrybridges6820
    @henrybridges68204 жыл бұрын

    Just watched this video. Fascinating. But I do have a question. Just before the 5 minute mark, you say: 04:51 here this two is one point six one eight 04:54 times larger than these ones put 04:56 together that ratio is forming this But, if we assume each 1 is 1 square inch, them 2 is 4 square inches and square 2 is 2 times larger than the 1's combined. What am I missing?

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    You're not missing anything. I think it's just a consequence of trying to demonstrate the golden spiral on grid paper. In nature, the fibonacci sequence doesn't have a court so tidy on which to play. I should also say that the fibonacci number only approach the value of phi, they never quite make a true golden spiral. I guess what I was trying to do with this video is spur interest in mathematics for my students. I apologize if it got off track. Thanks for watching!

  • @siddarvind6410
    @siddarvind64105 жыл бұрын

    Best video by far

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Cheers!

  • @gbee8888
    @gbee88884 жыл бұрын

    Hmmm... 4:25 You don't explain why you can draw curves here between the box corners. You only have box corners as data points, nothing to define the shape of a line between them. ??

  • @aria5007
    @aria50077 жыл бұрын

    thx

  • @dayday_13
    @dayday_137 жыл бұрын

    very cool man

  • @tassie7325
    @tassie73254 жыл бұрын

    Its called "Making things fit your perspective". Like the way that Phi fits Africa very nicely but has no significance at all with Australia

  • @gyurterd8922
    @gyurterd89225 жыл бұрын

    Kevin, how can I make those calipers?

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    So glad you asked! I just made a video this summer on that very subject. Check it out, and thanks for watching! kzread.info/dash/bejne/q6yMq5eaZqWdadY.html

  • @raiderfandew
    @raiderfandew4 жыл бұрын

    Even cabinet drawers work best using the Golden ratio in their length vs width.

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    No kidding?! That's interesting. What do you mean by "work best?" Mechanically speaking or are we talking about ideal area?

  • @raiderfandew

    @raiderfandew

    4 жыл бұрын

    @@MrKevin-ul1qp , no, not as far as ideal area.... it concerns it's ease of opening and closing and it's resistance to binding when doing so. I am a custom furniture maker by trade, and with all of my pieces, I always consider the Golden Ratio. I might not always use it, but more often than not. Thanks for a very interesting video. It's very well put together.

  • @rixbase
    @rixbase5 жыл бұрын

    Came for the maths. Stayed for the wholesomeness.

  • @JMARTIN1947

    @JMARTIN1947

    4 жыл бұрын

    I prefer the math and not so much the mush-headed kids.

  • @ahmed79muhsen
    @ahmed79muhsen5 жыл бұрын

    Thanks a lot

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    5 жыл бұрын

    Thanks for reaching out.

  • @emmacarina73
    @emmacarina734 жыл бұрын

    Very interesting and informative however I take issue with Phi. Being used to describe the shape of the continent of Africa, that surely is a coincidence and calls into question other examples

  • @davidr.4042
    @davidr.40424 жыл бұрын

    Mr. Kevin seems like a cool dude. 👍

  • @MrKevin-ul1qp

    @MrKevin-ul1qp

    4 жыл бұрын

    Awww, shucks. Thanks!

  • @ttk0139
    @ttk01394 жыл бұрын

    Now I know this rule.

  • @johnraeg.afunay1078
    @johnraeg.afunay10783 жыл бұрын

    What app do you used to make a graph sir?