How To Find the Lucas Angle

[HuffeIpuffer]

I watched it but I don't get it

[allmusicgogogo]

err I don't get this... how do you know one turn should give 4 leaves, and not 3 or sth, if you didn't know the Lucas angle? And why can't we get a fifth leaf?

[ivan09193]

@allmusicgogogo It's because she's starting with the Lucas series from 4, 7, 11... similar to how she was trying to get 3, 5, 8... as a non-overlapping layer of leaves in an apparent circle (even though the process of single leaf addition has gone to angles above 360 degrees, if the leaves are thin enough, they don't appear to overlap when viewed from overhead).  The edges of those leaves can be traced to form the Fibonacci or Lucas number of spirals (see her coloring at 0:44 )

[ivan09193]

@ivan09193 or "tl;dr", she's assuming the patterned number of spirals to find the angles.

(The fact that phi is a ratio of either Fibonacci or Lucas numbers doesn't predict the creation of spirals on pinecones, so she works backwards). She's very interested in the subject, and probably realized that her Lucas demonstration needed further clarification, so she made this video.

[HiaBia0617]

WHY YOU SO SMART?! You are a mathematical genius!! I look up to you

[lucaselviserickson]

My names Lucas.

I'm top of my class.

My average tis semester is aroud the lucas angle, yet i still dont understand this!

[yelolol]

yeah that makes sens^^

[dboyzero]

these videos always make me realize how little my brain works on an everyday basis.

[MrArloBarnes]

@dboyzero "These videos always make me realize a little how my brain works on a daily basis" FTFY

[Paperman1161]

how did Leslie get on youtub (big bang thoery)

[MrPondation]

Haha... Phi-nally...

[129das]

wow I have no idea what you are talking about

O.o I may never will

[sirdude2220]

wat

[wyseman76]

what??,,, I missed all of this there was to much sexy in your voice.

[joiles01]

Does the comic Uzumaki do anything for you, you spiral lover you?

[xmentosx]

Here's some other neat stuff about phi:

Phi squared equals phi plus one

One over phi equals phi minus one.

Take the square root of one over phi, add one over phi and you get the number one.

By the way, in case anyone wants to try out their own calculations, the exact number phi is (sqrt(5)+1)/2

Or you can just type in phi in google and the calculator will recognize it.

[marypozo]

What do you smoke?

[craftygal1234]

Am I the only one that is a little umm... lost?

[iamjew101]

what did I say about the puns? It's ok though, this one was much better

[Bradley12595]

OMG MY BRAIN HURTS!!!!

[vincegarrett1]

Did you do any research on the Goseck circle? It's an ancient solar observatory that depicts the summer and winter solstice. I believe there is an angle of about 100 degrees on it. Maybe the whole solar system is based on Fibonacci and Lucas numbers.

[kjrunia]

I am so glad modern technology permits me to rewind it a bit now and then. :D So... this is about Lucas angles... okay, tell me again...

[antijelly]

If he combines all the hay stacks he'd have 1. right??

[mirex951]

The new channel is great!

[xmentosx]

Did anyone else for a second believe "T" stood for Tau instead of Turns? Luckily I snapped out of it pretty quickly.

[BobForehead]

@xmentosx i still believe it actually stood for Time, which makes the whole vid that much more magical.

[Kynitt]

@xmentosx oh wait wh-

[muntoonxt]

@xmentosx Wait... that doesn't stand for Tau?

Damn, and I thought I understood at least one thing.

[Tensileflesh]

@muntoonxt It does.

[SherlotteR]

PHI-nally...

I love these videos. Just when I'm despairing about having to engage in the short term to get what I want in the long-term, along comes Vihart to make me fascinated with maths again.

[reishvedaur]

That would definitely be the first video of yours that made me go @_@

[TheMesh]

Wonderful to see τ again :)

[melodicagirl666]

Did you know that tv is in the middle of your channel name?

[homeXstone]

i thought the new channel is for random stuff. like everything BUT math. no i am confused, because i like the math stuff, but this should be on the other channel, doesn't it?

[TokrokK]

How much of this do you figure out on your own?

[TheGilmer]

Smart girls are so sexy...  o.O

She's seriously awesome; I wish there were smart chicks where I'm from. :3

[homeXstone]

@TheGilmer there are smart girls (!) everywhere. you just need to find them, since most are shy (just like it is with boys) or they are not, but then you'll probably not realize that they are pretty smart. so if you can't find any, you are either blind, or just not very interesting to smart girls ;)

[TheGilmer]

@homeXstone I live in a county in SW Virginia. School has sub-700 people. I know of two legitimately smart girls. One is a b**** and thinks she's a blessing to the world and the other has a schedule that conflicts 100% with mine, so I never get to spend time with her.

Note that my earlier post wasn't meant to be sexist, by the way; there is one legitimately smart guy that I know from here. >.>

It's awful down here, man. :(

[agmessier]

For those interested, ~95.5 degrees is 360/(phi+2), or as Vi would put it, 1/(phi+2) "th" of a circle.

[LsBaba]

I love these videos and I wouldn't want to change the style. I often want to pause the videos to absorb what's been said and to look at the drawings. I wonder if you could also do a longer video on this topic (covering parts 1 - 3), taking it a little more slowly but still with plenty of the artwork to show the beauty of the patterns.

[donniemorrow]

I see you managed to squeeze Tau into there under the guise of "turns". Sneaky sneaky!

[itachifan1243]

Is it weird that whenever I watch a Viheart video, I picture Felicia Day talking? Probably.

[superduper123191]

@vihartvihart generic comment about how i could listen to you all day

[flamecas11]

:D

[vpletap]

@vihartvihart

Good tutorial, but can you make it HD quality like Sal?

[SamTarpey]

@vpletap HD usually just takes a bit longer to upload, I think this is quite a new video

[LordHawkbat]

This new channel makes me feel like today is my birthday.

[SparkJavelin]

@LordHawkbat lol today is my birthday.

[Idontwantacoolname]

@LordHawkbat I know that feel.