Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]
Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]

Voiceover:Say [unintelligible],
you’re in math class and your teacher’s talking about … Well, who knows what your
teacher’s talking about. Probably a good time to start doodling. And you’re feeling
spirally today, so yeah. Oh, and because of
overcrowding in your school, your math class is taking place in greenhouse number three. Plants. Anyway. You’ve decided there are three basic types of spirals. There’s the kind where, as you spiral out, you keep the same distance. Or you could start big but make it tighter and tighter as you go
around, in which case the spiral ends. Or you could start tight
but make the spiral bigger as you go out. The first kind is good if you really want to fill up a page with lines. Or if you want to draw curled up snakes. You can start with a wonky
shape to spiral around but you’ve noticed
that, as you spiral out, it gets rounder and rounder. Probably something to
do with how the ratio between two different
numbers approaches one as you repeatedly add
the same number to both. But you can bring the wonk back by exaggerating the bumps and it gets all optical illusiony. Anyway, you’re not sure what the second kind of spiral is good
for, but I guess it’s a good way to draw snuggled up slug cats, which are a species you’ve invented just to keep this kind of spiral
from feeling useless. This third spiral, however, is good for all sorts of things. You could draw a snail
or a nautilus shell. And elephant with a curled up trunk, the horns of a sheep,
a fern frond, a cochlea in an inner ear diagram, an ear itself. Those other spirals
can’t help but be jealous of this clearly superior kind of spiral. But I draw more slug cats. Here’s one way to draw
a really perfect spiral. Start with one square and draw another next to it that is the same height. Make the next square fit
next to both together, that is each side is length two. The next square has length three. The entire outside shape will always be a rectangle. Keep spiraling around, adding bigger and bigger squares. This one has side length one, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13. And now 21. Once you do that you can add a curve going through each square,
arcing from one corner to the opposite corner. Resist the urge to zip quickly across the diagonal, if you want
a nice smooth spiral. Have you ever looked
at the spirally pattern on a pine cone and thought, “Hey, sure are “spirals on this pine cone?” I don’t know why there’s pine cones in your greenhouse. Maybe the greenhouse is in a forest. Anyway, there’s spirals and there’s not just one either. There’s one, two, three, four, five, six, seven, eight going this way. Or you could look at the spirals going the other way and there’s one, two, three, four, five, six, seven,
eight, nine, 10, 11, 12, 13. Look familiar? Eight and 13 are both numbers in the Fibonacci series. That’s the one where you start by adding one and one to get two, then one and two to get three, two and three to get five. Three plus five is eight, five plus eight is 13, and so on. Some people think that instead of starting with one plus one you should start with zero and one. Zero plus one is one, one plus one is two, one plus two and three, and it continues on the same way as
starting with one and one. Or, I guess you could
start with one plus zero and that would work too. Or why not go back one
more to negative one and so on? Anyway, if you’re into
the Fibonacci series, you probably have a bunch memorized. I mean, you’ve got to know one, one, two, three, five. Finish off the single digits with eight and, ooh with 13, how spooky. And once you’re memorizing double digits, you might as well know
21, 34, 55, 89 so that whenever someone turns a Fibonacci number you can say, “Happy Fib Birthday.” And then, isn’t it interesting
that 144, 233, 377? But 610 breaks that
pattern, so you’d better know that one too. And oh my goodness, 987 is a neat number and, well, you see how these things get out of hand. Anyway, ’tis the season for decorative scented pine cones and if you’re putting glitter glue spirals on your pine cones during math class, you might notice that the number of spirals are five and eight or three and five or three and five again. Five and eight. This one was eight and thirteen and one Fibonacci pine cone is one
thing, but all of them? What is up with that? This pine cone has this wumpy weird part. Maybe that messes it up. Let’s count the top. Five and eight. Now let’s check out the bottom. Eight and 13. If you wanted to draw a mathematically realistic pine cone, you might start by drawing five spirals one way and eight going the other. I’m going to mark out starting and ending points for my spirals first as a guide and then draw the arms. Eight one way and five the other. Now I can fill in the
little pine coney things. So there’s Fibonacci numbers in pine cones but are there Fibonacci
numbers in other things that start with pine? Let’s count the spirals on this thing. One, two, three, four,
five, six, seven, eight. And one, two, three,
four, five, six, seven, eight, nine, 10, 11, 12, 13. The leaves are hard to keep track of, but they’re in spirals too. Of Fibonacci numbers. What if we looked at
these really tight spirals going almost straight up? One, two, three, four, five, six, seven, eight, nine, 10, 11,
12, 13, 14, 15, 16, 17, 18, 19, 20, 21. A Fibonacci number. Can we find a third
spiral on this pine cone? Sure, go down like this. And one, two, three,
four, five, six, seven, eight, nine, 10, 11, 12,
13 (muttering) 19, 20, 21. But that’s only a couple examples. How about this thing I found on the side of the road? I don’t know what it is. It probably starts with pine, though. Five and eight. Let’s see how far the conspiracy goes. What else has spirals in it? This artichoke has five and eight. So does this artichoke
looking flower thing. And this cactus fruit does too. Here’s an orange cauliflower
with five and eight and a green one with five and eight. I mean, five and eight. Oh, it’s actually five and eight. Maybe plants just like
these numbers though. Doesn’t mean it has anything to do with Fibonacci, does it? So let’s go for some higher numbers. We’re going to need some flowers. I think this is a flower. It’s got 13 and 21. These daisies are hard
to count, but they have 21 and 34. Now let’s bring in the big guns. One, two, three, four, five, six, seven, eight, nine, 10, 11,
12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34. And one, two, three,
four, five, six, seven, eight, nine, 10, 11, (muttering) 17, 24, (muttering) 42, 53, 54, 55. I promise, this is a
random flower and I didn’t pick it out specially to
trick you into thinking there’s Fibonacci numbers
in things, but you should really count for yourself
next time you see something spirally. There’s even Fibonacci numbers in how the leaves are arranged on this stalk, or this one, or the Brussels
sprouts on this stalk are a beautiful delicious three and five. Fibonacci is even in the arrangement of the petals on this rose,
and sunflowers have shown Fibonacci numbers as high as 144. It seems pretty cosmic
and wondrous, but the cool thing about the Fibonacci
series and spiral is not that it’s this big complicated mystical magical super math thing beyond the comprehension of our puny human minds that shows up mysteriously everywhere. We’ll find that these
numbers aren’t weird at all. In fact, it would be weird
if they weren’t there. The cool thing about it is that these incredibly intricate patterns can result from utterly simple beginnings.

100 thoughts on “Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]”

  1. Alex Jiang says:

    Where was this video created

  2. Wobble says:


  3. mY tEa iS SugAr FrEe says:

    I see 666 dislikes

  4. Those Aquatic Chickens says:

    Sorry, i started drawing a lemon… I'm an art kid I can't help it, I think math and start drawing lemons and chickens

  5. Jonnie Brim says:

    As an atheist even I have to admit that it does sort of seem like there's something bigger at work here

  6. Giorno_Giovanna! says:

    Arigato gyro

  7. *Enter* *Username here* says:

    I feel like she has ADHD…

  8. TJ’s Aviation says:

    White are
    All I see
    In my infancy
    Red and yellow then came to be
    Reaching out to me
    Let’s me see..

  9. Kathleen Braden says:

    It doesn't point to a maker? I feel like …maybe… Awesome video, Vi!

  10. Michael Barresi says:

    Well done.

  11. Person Person says:

    These videos are great, anyone in December 2018?

  12. Tyrant unleashed says:

    Science + Math + Nature = Wonders of the Universe

  13. QuatroCerberus says:

    u r hyper intelligent

  14. QuatroCerberus says:

    u should do asmr

  15. Gerhard Moll says:

    Hahahaha 2019 so soon so old

  16. Kenny 1998 says:

    Can anyone explain me what this channel is all about

  17. Carsyn Grace says:

    Haha I remember watching this in fifth grade and falling asleep bc her voice was calming 😂

  18. Hostile Fork says:

    Have those MacArthur genius grant people gotten in touch with you? They should.

  19. Derp Gaming says:

    I can't see how you didn't pay attention in math cllass

  20. Tsavorite Prince says:

    The weird thing is a magnolia cone.

  21. Kinda a Person says:

    I made a video on the slug cat :]

  22. Yoey Schwab says:

    I would give this video two likes if I could just for the drawing of the sheep.

  23. Kyutie Lils says:

    Hi just saying I was watching u for 2 years and I saw this video half a year after I watched it on my yt and after that half a year i saw it in Skl

  24. HaruBoi says:

    I still don't understand what this fib is ;-;

  25. Crazy Labrador says:

    I learned about this in 4th grade in Stride in Chicod

  26. Renee Lorenzana says:

    this is therapeutic

  27. Ben Goldberg says:

    You can only start a Fibonacci sequence with -1 if you know how to draw an anti-rabbit.

  28. Ruthie Premack says:

    One of your YouTube videos is cited in my free Illustrated Holocene Era Timeline of Science eBook.

    Using a calendar system based on accomplishments of humanity makes sense to me. A much smarter person than me, Cesare Emiliani, had the idea before me but died before he could expand his calendar reform idea.
    I expanded his idea and we are making available for free the Ebook I wrote entitled "Illustrated Holocene Era Timeline: Human Achievements, Advancements, Innovations, and Understanding in Science, Using EMILIANI's HE calendar." If you don’t like the idea of having your information included, please let me know; we can remove the reference.

    If you want to read my free Ebook we have made it available as a PDF at That link also holds the free Conversion Calculator my husband built in excel to help convert dates from BC/AD or BCE/CE to BHE/HE.

    I’m excited (and ok, scared) to share my HE Timeline with you, and hope that you will enjoy and see the benefit from its contents being organized around Emiliani’s Holocene Era calendar reform Idea. If you enjoy it and want to write a review of it, or make a suggestion to improve it, please let me know.

    Ruthie S. Premack – Author / Compiler

  29. Danielle Hilson says:

    I love the “ little prince” reference you put in there

  30. Angela Tseng says:

    Just fyi, Vi, of your copyrights.

  31. JiSo says:

    I barfed after being mind blown

  32. enes akar says:

    hum hum hum hum

  33. Haseeb Iftikhar says:

    I had to play this video in 0.25X speedXD.

  34. Ruben Matos says:

    Slug cats do exist. In Rainworld.

  35. A.J. Studebaker says:

    Magnolia seed (s) big white flower in the southern USA

  36. DwÀrtic *-* says:

    Our math teacher actually showed us this video in class so that was a fun time

  37. Shayyan Ahmed says:

    I love your voice😝

  38. True Mordecai says:

    I love her voice and the way she speaks.

  39. B M says:

    Amazing video

  40. DudeStopTryin says:

    I just finished reading Uzumaki, gonna trip me out.

  41. rafa does youtube says:


  42. Jay Bee says:


  43. creativity express says:

    "Your maths class is taking place in Greenhouse no. Three"

    'Greenhouse three'.. Doesn't that sound familiar……..

    OH yeah…. It's in hogwarts…

  44. Ariana G says:

    I watched this with my class…then I found it again

  45. Not so Tolerable says:

    I was there waiting for the thumbnail to load..

  46. Cheesy Boi says:

    Fibbonaci is bullcrap

  47. Hex says:

    my math teacher made us watch this.

  48. Aaron D. Rodriguez says:

    The weird thing you found on the side of the road is a magnolia.

  49. Mathew Johnson says:

    WHO HAS THIS MUCH TIME!!!!!!!!!!!!!!!

  50. Justin Y. says:

    Why does she keep drawing sheep as blocks with holes?

  51. Maddison Pipino says:

    Omg I found you again. ❤ I have known your channel for 5 years and you've blown up. Your amazing vi.❤❤❤❤❤❤

  52. marsvortek says:

    Spiral obsession…. ever read Uzumaki??

  53. Courtney Prince says:


  54. Charlize Baron says:

    My dad showed this to me 7 years ago, and i think its the source of my interest in math and entertaining educational youtube videos, which is why i'm going to be a math teacher.

  55. Chronic Depression says:

    Ah, the fibonacci sequence. One of many base sequences and codes to existence. Lovely set of numbers.

  56. NovaScribbles says:

    The thing you found on the road is a magnolia blossom, I think

  57. KenzieKats4 - says:

    Me: sees illousion she made tries it
    My drawing: 1,00,000,000 erase marks
    Me: HOW U DO DAT!?

  58. Kasey Marriott says:

    why do you have a pinecone in class?

  59. Squishy Bangtan says:


  60. MiningMania says:

    I love her doodling in math videos
    More please

  61. Lovely Girl says:


  62. Ariel Shikoba says:

    Brilliant!!! (Hand Clap) 👏👏🙌

  63. Smoola :3 says:

    Your videos are very inspiraling

  64. BlackSam347 says:

    Your voice is cute

  65. 231231 131231 says:

    I wish you were my math teacher

  66. Grace Kittie says:

    What's funny about the "slug cat" is that my cat genuinely looks like a slug

  67. Uninterested says:

    This is like ASMR

  68. Bruiser 94 says:

    brain fried

  69. Maisie Moby says:

    The teacher showed us this on class and we all agreed she is high. 😂

  70. Thomas Africa says:

    This is exactly why I have a panic attack everyone I go to maths class😅

  71. Sweetcandycorn365 XxX says:

    I just got tricked in to learning a bit of math and I’m not complaining

  72. Lily Schiffman says:

    2019 anyone?

  73. Ryan Urquhart says:

    It, has everything to do with. It. It's all in the math u just explained or were u , jok in around? 🤔?

  74. Spedur says:

    Wow. Great reference to friday the 13th.
    (Claps slowly, but gradually gets faster until It becomes the planck speed)

  75. EwOk says:

    Video Sucks

  76. Milo Del Rosario says:

    Can you say it so it’s actually interpretable. This is actually painful to listen to

  77. kitty katie says:

    My teacher just showed this video in class, now I've watched all your videos lmao

  78. Lindsey Bottoms says:

    “How about this thing I found in the side of the road? I don’t know what it is, but it probably starts with pine, though!”

  79. Elle A says:

    you need a ted X video !

  80. zeradordeyoutube says:

    What is she holding at 4:39? She thinks is a flower.

  81. Morty Zapata says:


  82. Blurb Tom says:

    Vihart in math class:

  83. MrStoneycool69 says:

    Big things usually have small beginnings.

  84. Pudding says:

    My teacher showed us this video in math class today.No wonder he didn’t turn on the volume.Probably not great to let your class hear about doodling in math class! LOL!

  85. Pudding says:

    Also,please don’t waste food.I don’t think it’s a great idea to eat glitter-glued food.

  86. Indigo Gollum says:

    2:00 Are you supposed to be drawing on that pinecone?

  87. Praxidike100 says:

    You talk way too fast.

  88. unknown name says:

    were not paying attention t math to learn different math

  89. RWE Media says:


  90. TearyAutumns says:


  91. Nerdy Nova says:

    i have a pinnapple squishy does that count?

  92. Shirene Misif says:

    your artistry is illuminately captivating

  93. SHOBO says:

    maan, I'm so stupid O_O

  94. Bekah TheDonut says:

    Went back to this video to say it’s my fibirthday soon!

  95. kapokikko dragneel says:

    My teacher showed me this in math class 😂😂. I later saw one of the other videos and immediately knew this was you. I love it

  96. Caitlyn My life says:


  97. Marinus says:

    Damn, I love this channel! <3

  98. 3rdeye Brand says:

    Brain… oozing out my ear

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