This is straight up one of the best videos I've ever seen. Takes a few different subjects, shows the common theme and mashes them together in a very entertaining but extremely informative way. Kudos.
Your brain is beautiful and you are my new favourite internet person. Your snake video is so charming i nearly burst from happiness. How amazing that all your videos are full of wonder and simple pleasures. Subscribed!
"Math is simple rules complex consequences" that is so true, I'm blown. I wish they'd teach us with such examples in school. In schools they never stress on applications, they just teach us the formulae and it's over. No wonder students say, "Why am I supposed to learn this? I don't think this will be of any use in my future." Anyway nice vid :)
I really like the approach of the writing and style of narration. Also, I think I am in love with the narrator, what a turn on. Love your videos, Vihart.
I couldn't hear any uninteressting sentence. But a quiete profound one: "Mathematics: simple rules, complex consequences." I tried to define it myself: "Mathematics: The teachings of the Nature of things." or "Mathematics: the univeral language" but yours is ... can't describe it. It is soo accruat far behind awesomeness...
I was sat in math class watching this and my teacher asked so I took out my headphones and she heard you talking, she said to me'carry on she seems smart' and she walked off and let me watch, everyone was staring at me because I was watching this and if you have read all of this I congratulate you in your success 🎉
I thought to myself "this year, I'm going to stop doodling in class, and actually pay attention!", and then I watched this video and now it's all "this is awesome! I'm gonna make flowers all over my notes!" in my brain.
You need 100,000,000,000,000,000...... subscribers. You are so interesting and original. You take math to a new level of confusing in a good way! I absolutely love this channel.😍
omg, girl, these are SOOO GREAT!!!! Way to bake math and earth make sense TOGETHER!!! I've NEVER been a math person, but i am sure as heck a nature art person, and i can get with all this info you're sharing! RIGHT ON!
Plants don't follow sequences and formulas. Formulas and Sequances are derived from plants which react to the physics of the universe for optimal survival. Its like they are maps of the universe created by nature, refined over time. Just my opinion, what do you think?
i think they are MANIFESTATIONS of the laws of physics.... encountering Fibonacci series in plants is as natural as the inverse square law of gravitation.... F is inversely proportional to distance squared...
If I was a plant and wanted to have a lot of leaves to catch the most sunlight, then the leaves at the very bottom to the stem would have to be the biggest, at then as the leaves grow on the stem then depending on where they are then they would have to be either smallest (if at the very top), medium sized (if grown in the middle or somewhere like that) or huge or kind of big (if near the bottom)
I've seen this video before but I just watched this muted while listening to Casey Jones and it really was awesome. It just kept building up as she was making her point. So awesome
If I had this style of equation representation in school, I might have learned something more than I already knew. You make math awesome. You, are awesome.
Normally I find math to be just awful, I'm more of a science person so it does make it hard dues to the integration of the two subjects, but your videos make it much more interesting. I'm learning entirely new things in a wonderful and interesting way. Thank You ViHart :D
“Tools” is an American metal band pervasively known for incorporating the Fibonacci Sequence in their musical time signatures and lyric patterns, 9/8 to 8/8 etc…I’d like to explore their ironic use of the sequence in their song called “Lateralus,” in the opening lyrics to the song the Fibonacci Sequences were embedded in the numbering of syllables, making the inherent nature of the Fibonacci Sequence applicable beyond the parameters of music, but into writing, poetry and other sorts of linguistic usage. Fibonacci Coriolis Effect: There’s a strong correlation between biological structures and the physics of motion, would “electromagnetism” be an inappropriate metaphor? Because although electricity and magnetism are intertwined, the former is an electric charge and the latter is a force and repel, and it became “electromagnetism” after Maxwell’s juxtaposition of their inner mechanisms in his unified equation. Fibonacci Sequence are in the Coriolis Effects, the sequences are in the non-transparent symmetry of the wind, synonymous to the propagating patterns in pineapple pine-cones outer layers. There’s pairs of spirals widening to the left and right where the numerical systems are found, seems prevalent in the symmetry of Botany. Equivalent to objects in motion on the earths surface that curve in relation to the revolution, Northern Hemisphere deflecting to the right and the Southern Hemisphere deflecting to the left.
A double rainbow? What does it mean? Well, a ,,double rainbow" is a phenomenon of optics that displays the specrum of light due the sun shining on droplets of moisture in the atmosphere. Does that explain it?
I know circles and spheres form as they do because pi maximizes their area and volume respectivly, nothing more; though not everything that forms a circle or sphere does so perfectly. Once that pattern starts things that don't follow closely get left behind, tear. I imagined the same was true of the golden ratio, phi, and this was beautifully done. It's also good to see I wasn't too far off. I find plants boring, but who knew they followed such a cool number. Thanks Vihart
I have to say that this is one of the better videos on UA-cam. Entertaining, and educational. Just fun to watch. Amazing art skills too. :-) well done!!
The exact value is (1+sqrt(5))/2, the section on golden ratio in wikipedia explains how it can be calculated. You could do the same calculations with subsequent fibonacci numbers where the index approaches infinity, it's actually rather beautiful.
There was a paper somewhere showing that plants were detecting changes in daytime hours, and working out what pace to consume their food stores at in the night - to much and they could starve and die, to little and they'd be wasting time. Instead they would have consumed about 90% of their stock come dawn each day. This implies that they might do math in some capacity, and have some understanding of calendars. You're awesome BTW.
Agreed, nicely explained. Only if we are not honest and open heart truth diggers we cannot see the simple fact you've explained. Nothing so complex, yet purposeful and beautiful can come from nothing, from chaos. Btw this girl is really smart & gifted. I just wish she's little slower for us who are not so much into numbers and math, but no one is stopping me from watching the video again. :)
Wonderful stuff, done well, and with just the correctly graduating amount of fun. If teachers were paid what they were worth in the US - The young lady doodler with the great voice would have found her calling, and had three months off every year to go learn new fun stuff to teach later. Truly. Well done! Kudos, professor.
Phi (ϕ) = (1+sqrt5)/2 = 1.618 Pi (π) = 3.1415 While some advanced mathematician may correct me, to my knowledge there is no relationship between Pi and Phi, with Phi being derived from dividing numbers of the Fibonacci sequence, and with Pi being derived from circles. She is indeed referring to phi, not pi.
Thank you!! I've heard this concept before, but it was never explained so effectively to me before. Makes beautiful sense. I only wish I had known of your channel before today., but I get to enjoy all your videos past and future from here out. ^^ I look forward to learning more.
I've noticed that rosetted sundews follow this rule, but in terms of carnivorous plants, that's it. Nepenthes do this weird thing where the first leaf sends off a new leaf at a 180 degree angle. The next leaf is sent out at an angle, which varies upon species. They can afford to overlap leaves because they eventual turn into a vine. Nepenthes veitchii is the only one that doesn't do this. Look it up, it's beautiful and really strange. It kind of "hugs" onto a tree.
I really wish there was a slowed down version of how to do this since this is now an assignment in my class and I'm wasting paper like no one's business. We get it. You're good at math. Some of us aren't. This is becoming crazy frustrating.
It was probably a pun. Phi is the symbol used for the golden ratio which is the ratio two consecutive Fibonacci numbers tend toward the larger the sequence gets.
thank you for making this you have sparked curiosity in one of the most fundamentally important things in all of life and existence everybody should know this we would be smarter as a species if people recognized the importance of this not that it will fix all our problems but it would be a big step in the right direction for humanity
people who say that the direct down light are wrong because of : phototropism and apical dominance. the plant will lean toward the plant so the light is directly down at the growing points ("stem cells")
"Mathematics: simple rules, complex consequences." brilliance in a sentence. i would have understood algebra if you were teacher BTW, But alas never got my head around any half complex algebraic principles. Cheers x
Vi...I was driving past a corn field today and it seemed to me that there is an awful lot of wasted space, you know, long rows widely spaced apart. It reminded me of this video series you did...I thought this would be an interesting follow up: Suppose you were a farmer and not limited by today's technology(planters/harvesters), how would place each plant so as to maximize sun exposure w/o wasting space? P.S. I love your videos!
Mind blown. I always heard the fibonacci sequence was really important and recurrent in nature, but now I know. Infinitely more interesting than the superbowl. =)
I've got a nice little alternate version of a fib recursive algorithm that might make sense at least of the 4 and 7 you noticed at the end, but I'm sure there is some amount of natural variance attributed to those things regardless.
The lower-quality video/voice recording in Stars has more style to it. When I listen to the better recording set-up I don't get that same "WHAT?! this is awesome" feeling. You know what I mean?
![Doodling in Math: Spirals, Fibonacci, and Being a Plant [Part 3 of 3]](http://i.ytimg.com/vi/14-NdQwKz9w/mqdefault.jpg)
![Doodling in Math: Spirals, Fibonacci, and Being a Plant [Part 3 of 3]](/img/tr.png)
![Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]](http://i.ytimg.com/vi/ahXIMUkSXX0/mqdefault.jpg)
She's excellent at math, drawing, and teaching. This girl is truly impressive. Thank you for making math more approachable!
and editing!
and making food
+Tyler Langan and singing
+Lily Murphy and being creative
+Tyler Langan and playing the piano and composing
Botanists HATE her! Girl finds out how to be a plant using this one simple trick!
good one , lol
Newest news story!!! Forget shootings! This is important!!!!
ONE THERES LIKE BAGILLION
@@benrosen5917 right exactly 🕉
This comment aged like fine wine.
"Now stop being a number theorist and be a plant again."
Thank you
lol
I've always wanted to be a plant!
KoKoCreeper 27
PHOTOSYNTHESIS
PHOTOSYNTHESIS
PHOTOSYNTHESIS
Diana Rojo-Jewell Funny. The most irrational number, is algebraic, not transcendental.
It's like I'm learning but not at the same time.
I fucking love it.
Lol same
ikr
I fucking know right!?
+Shelton Burnadeski edutainment done right
This is straight up one of the best videos I've ever seen. Takes a few different subjects, shows the common theme and mashes them together in a very entertaining but extremely informative way. Kudos.
Your brain is beautiful and you are my new favourite internet person. Your snake video is so charming i nearly burst from happiness. How amazing that all your videos are full of wonder and simple pleasures. Subscribed!
mrpandabites I agree, she is incredible!!!
mrpandabites "brain is beautiful" strange point of view. :)
mrpandabites I totally agree
Suani Avila
It is definitely the best kind of complement
"Math is simple rules complex consequences" that is so true, I'm blown. I wish they'd teach us with such examples in school. In schools they never stress on applications, they just teach us the formulae and it's over. No wonder students say, "Why am I supposed to learn this? I don't think this will be of any use in my future." Anyway nice vid :)
I really like the approach of the writing and style of narration. Also, I think I am in love with the narrator, what a turn on.
Love your videos, Vihart.
I didn't think it was possible to make me enjoy listening To math
Emi Jhang same
same
WHAT DOES THIS MEAN WHERE ARE THE PLANTS COMING FROM YOURE IN MATH CLASS I AM IN PAIN
Yes but it's in green house 3.
***** this made my day!
***** Or warehouse 13.
Nicola Cat ha
see part 1
After watching several of your videos I've decided... You are absolutely THE coolest!! How could anyone NOT love your videos?
Thanks
The end of this video is one of the most wonderful moments in education I've ever experienced
Vi Hart in a nutshell:
“Say you’re me and a genius and you make awesome videos.
Now, say you’re amazingly humble.”
:)
These videos singlehandedly explain Fibonacci numbers and the golden ratio better than everything I've seen previously combined.
i once thought I would be a Ravenclaw if i were in hogwarts.
Vi would be the ravenclawest ravenclaw of them all.
definatly
👏
The phrase, "plants have been around a long time... that probably explains everything" killed me. Subbed
"Just because theyre different doesnt mean we should ignore them" is such a perfect line
I couldn't hear any uninteressting sentence. But a quiete profound one:
"Mathematics: simple rules, complex consequences."
I tried to define it myself: "Mathematics: The teachings of the Nature of things."
or "Mathematics: the univeral language"
but yours is ... can't describe it. It is soo accruat far behind awesomeness...
I love learning and laughing at the same time. I wish school was like this.
I was sat in math class watching this and my teacher asked so I took out my headphones and she heard you talking, she said to me'carry on she seems smart' and she walked off and let me watch, everyone was staring at me because I was watching this and if you have read all of this I congratulate you in your success 🎉
I thought to myself "this year, I'm going to stop doodling in class, and actually pay attention!", and then I watched this video and now it's all "this is awesome! I'm gonna make flowers all over my notes!" in my brain.
Good thing I'm a plant, you humans sound so puzzled all the time.
It has 69 likes!!!
@@gsaustin74 Nice
You need 100,000,000,000,000,000...... subscribers. You are so interesting and original. You take math to a new level of confusing in a good way!
I absolutely love this channel.😍
The earth would overpopulate and everyone would be dead if she got that many subs.
Vihart... you're making me love math again. thank you for that... I could cry.
With all due respect, Your smartness is such a turn-on!
I've been binge watching your videos and honestly just realized I've been enjoying watching math videos
STOP MAKGING ME SMART
omg, girl, these are SOOO GREAT!!!! Way to bake math and earth make sense TOGETHER!!!
I've NEVER been a math person, but i am sure as heck a nature art person, and i can get with all this info you're sharing!
RIGHT ON!
Plants don't follow sequences and formulas. Formulas and Sequances are derived from plants which react to the physics of the universe for optimal survival. Its like they are maps of the universe created by nature, refined over time. Just my opinion, what do you think?
i think they are MANIFESTATIONS of the laws of physics.... encountering Fibonacci series in plants is as natural as the inverse square law of gravitation.... F is inversely proportional to distance squared...
If I was a plant and wanted to have a lot of leaves to catch the most sunlight, then the leaves at the very bottom to the stem would have to be the biggest, at then as the leaves grow on the stem then depending on where they are then they would have to be either smallest (if at the very top), medium sized (if grown in the middle or somewhere like that) or huge or kind of big (if near the bottom)
i could watch your videos all night
Dwayne Reynolds I actually am right now!
@@cosmiclatte2652 OMFG I AN TOOO
I've seen this video before but I just watched this muted while listening to Casey Jones and it really was awesome. It just kept building up as she was making her point. So awesome
love your approach, just wow.
If I had this style of equation representation in school, I might have learned something more than I already knew. You make math awesome. You, are awesome.
I like artichokes, (This comment made me feel ultimately dumb but I'm still commenting)
Normally I find math to be just awful, I'm more of a science person so it does make it hard dues to the integration of the two subjects, but your videos make it much more interesting. I'm learning entirely new things in a wonderful and interesting way. Thank You ViHart :D
“Tools” is an American metal band pervasively known for incorporating the Fibonacci Sequence in their musical time signatures and lyric patterns, 9/8 to 8/8 etc…I’d like to explore their ironic use of the sequence in their song called “Lateralus,” in the opening lyrics to the song the Fibonacci Sequences were embedded in the numbering of syllables, making the inherent nature of the Fibonacci Sequence applicable beyond the parameters of music, but into writing, poetry and other sorts of linguistic usage.
Fibonacci Coriolis Effect: There’s a strong correlation between biological structures and the physics of motion, would “electromagnetism” be an inappropriate metaphor? Because although electricity and magnetism are intertwined, the former is an electric charge and the latter is a force and repel, and it became “electromagnetism” after Maxwell’s juxtaposition of their inner mechanisms in his unified equation.
Fibonacci Sequence are in the Coriolis Effects, the sequences are in the non-transparent symmetry of the wind, synonymous to the propagating patterns in pineapple pine-cones outer layers. There’s pairs of spirals widening to the left and right where the numerical systems are found, seems prevalent in the symmetry of Botany. Equivalent to objects in motion on the earths surface that curve in relation to the revolution, Northern Hemisphere deflecting to the right and the Southern Hemisphere deflecting to the left.
I love the way you ended the video with a problem and a question needing to be answered. Makes me really want to. See the next part.
How is it that I am 12 and after discovering her I can now explain pi, quantum physics, and angles better than my parents can
I don't know but I'm 9 and now understand fibonacci
i dont know, i havent been born yet, but i understand phi
Fandom Freak I feel the same. My mom is a math teacher and she can't explain phi as well as me.
Yet then again, your organization with extra props and color was grand!
The numbers Mason, WHAT DO THEY MEAN?
😂😂😂👌
A double rainbow? What does it mean?
Well, a ,,double rainbow" is a phenomenon of optics that displays the specrum of light due the sun shining on droplets of moisture in the atmosphere.
Does that explain it?
it takes a rare talent to make math fun and interesting to hear about. good work
The 'Phi' plant looked kind of like a marijuana bud branch from above :p Not even a stoner here, just kinda made the comparison...
I like how the postulates & geometry thing at the end kinda foreshadows the 4, 7, 11 spiral ending
4:11 suddenly, matriorb
I know circles and spheres form as they do because pi maximizes their area and volume respectivly, nothing more; though not everything that forms a circle or sphere does so perfectly. Once that pattern starts things that don't follow closely get left behind, tear. I imagined the same was true of the golden ratio, phi, and this was beautifully done. It's also good to see I wasn't too far off. I find plants boring, but who knew they followed such a cool number. Thanks Vihart
Imagine all kids understood this better...
Remember... From School..
what would be the point though
Definitely going to use this in my math classes. Also, your voice IS soothing. Congrats on that.
this is AWSOME
I have to say that this is one of the better videos on UA-cam. Entertaining, and educational. Just fun to watch. Amazing art skills too. :-) well done!!
Now speaking of Phi? I officially love this person! :p
*Not as simple as you think or more simple than it seems? :D
L
The exact value is (1+sqrt(5))/2, the section on golden ratio in wikipedia explains how it can be calculated. You could do the same calculations with subsequent fibonacci numbers where the index approaches infinity, it's actually rather beautiful.
I used to hate math. I used to.
There was a paper somewhere showing that plants were detecting changes in daytime hours, and working out what pace to consume their food stores at in the night - to much and they could starve and die, to little and they'd be wasting time. Instead they would have consumed about 90% of their stock come dawn each day. This implies that they might do math in some capacity, and have some understanding of calendars. You're awesome BTW.
slug cats remind me of catbug
Agreed, nicely explained. Only if we are not honest and open heart truth diggers we cannot see the simple fact you've explained. Nothing so complex, yet purposeful and beautiful can come from nothing, from chaos.
Btw this girl is really smart & gifted. I just wish she's little slower for us who are not so much into numbers and math, but no one is stopping me from watching the video again. :)
Phi-bonacci
😂😂
+Shickhar Mohan good one!
I really love Vihart's videos. Such an entertaining way to learn Maths :)
Theory: Fibonacci was a plant
Wonderful stuff, done well, and with just the correctly graduating amount of fun.
If teachers were paid what they were worth in the US - The young lady doodler with the great voice would have found her calling, and had three months off every year to go learn new fun stuff to teach later.
Truly. Well done! Kudos, professor.
4,7,11
4+7=11-is it just me??
3, 5, 8, 13
4, 7, 11, 18, 29
That is the beauty of Fibonacci numbers
It's all a big conspiracy, didn't you know? O_o
The fibonacci sequence works by adding up the previous number to the current one: 1,1,2,3,5,8,13,21,34,55,89 etc
I use this series of three videos in class to show students how exciting and fun and amazing maths can be :) THANK YOU Vi Hart
I love these! my algebra teacher showed them to my class and e all had a blast getting our minds blown! Awesome job, i subscribed!
Thanks, Vi. I really enjoyed this. I learned from it, as well.
Your math doodling makes quite handsome artwork.
Looking forward to part 3.
Phi (ϕ) = (1+sqrt5)/2 = 1.618
Pi (π) = 3.1415
While some advanced mathematician may correct me, to my knowledge there is no relationship between Pi and Phi, with Phi being derived from dividing numbers of the Fibonacci sequence, and with Pi being derived from circles. She is indeed referring to phi, not pi.
i could listen to you talk ALL day
Thank you!! I've heard this concept before, but it was never explained so effectively to me before. Makes beautiful sense. I only wish I had known of your channel before today., but I get to enjoy all your videos past and future from here out. ^^ I look forward to learning more.
The most valuable doodle human being has ever made.
I've noticed that rosetted sundews follow this rule, but in terms of carnivorous plants, that's it. Nepenthes do this weird thing where the first leaf sends off a new leaf at a 180 degree angle. The next leaf is sent out at an angle, which varies upon species. They can afford to overlap leaves because they eventual turn into a vine. Nepenthes veitchii is the only one that doesn't do this. Look it up, it's beautiful and really strange. It kind of "hugs" onto a tree.
The last question you asked yourself made me want to see the third part. Very smart.
I really wish there was a slowed down version of how to do this since this is now an assignment in my class and I'm wasting paper like no one's business. We get it. You're good at math. Some of us aren't. This is becoming crazy frustrating.
It was probably a pun. Phi is the symbol used for the golden ratio which is the ratio two consecutive Fibonacci numbers tend toward the larger the sequence gets.
This is awesome, best video I've ever seen on UA-cam, keep the good work. regards from Ecuador.
your voice is incredibly soothing.
thank you for making this you have sparked curiosity in one of the most fundamentally important things in all of life and existence everybody should know this we would be smarter as a species if people recognized the importance of this not that it will fix all our problems but it would be a big step in the right direction for humanity
Why the hell are you not a teacher yet literally all of your students would adore you please become a teacher
people who say that the direct down light are wrong because of : phototropism and apical dominance. the plant will lean toward the plant so the light is directly down at the growing points ("stem cells")
"Mathematics: simple rules, complex consequences." brilliance in a sentence. i would have understood algebra if you were teacher BTW, But alas never got my head around any half complex algebraic principles. Cheers x
You're making me love math, and stuff is actually starting to make sense. I'm not even totally sure if I like it or not, haha!
Vi...I was driving past a corn field today and it seemed to me that there is an awful lot of wasted space, you know, long rows widely spaced apart. It reminded me of this video series you did...I thought this would be an interesting follow up: Suppose you were a farmer and not limited by today's technology(planters/harvesters), how would place each plant so as to maximize sun exposure w/o wasting space? P.S. I love your videos!
my head is hurting from processing this information so fast... ON TO PART 3!
You have BLOWN MY MIND. This is amazing.
i have to tell ,this girls has a hell lot of creativity in her.
I spent like 30 mins drawing one of those never ending flowers. Addicting.
It is for everyone, but you have to admit, it was the best 6 minutes and 14 seconds of your life. :-)
i'm the most confused i've ever been in my life but i shall keep watching.
Mind blown. I always heard the fibonacci sequence was really important and recurrent in nature, but now I know. Infinitely more interesting than the superbowl. =)
I've got a nice little alternate version of a fib recursive algorithm that might make sense at least of the 4 and 7 you noticed at the end, but I'm sure there is some amount of natural variance attributed to those things regardless.
this was aaaaaamazing!!!! i am in awe both of all your knowledge and how you simply & creatively demonstrated this for us. thanks :))
Srsly, this needs to be subtitled in Spanish. I'm surprised that I still understand what this is. AMAZING!
You make it so interesting and clear. Besides I like your voice so much.
"But anyway phi." LOL.
This set of videos is one of the most interesting and practical I have ever seen.
The lower-quality video/voice recording in Stars has more style to it. When I listen to the better recording set-up I don't get that same "WHAT?! this is awesome" feeling. You know what I mean?
Excellent video. Practical, easy to follow, quirky, interesting, & fun !
Interesting presentation. Wonderful video. Good clear speech ... makes me want to hear it again ... a bit more slowly ... for tomorrow.
I don't know about her, but my local Staples has this massive Sharpie display with tons of Sharpie colors, sizes, shapes, etc. :)
Did she actually leave me on a freaking cliffhanger? And do I seriously have an uncontrollable desire to watch the next part? 😂
This video was really good to show my daughter; it shows her that girls like maths and art and nature.
i heart... Vihart's videos....
We need more teachers like yourself.