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Puzzles & Challenges 22 Online
mhchen:

@jungkook22 Allow me to show you the beauty of math? What I'll go through eventually: 1. History 2. Music: Sound Frequencies and Instrument Architecture 3. Photography 4. Human Anatomy 5. Art 6. Flowers

Gdeinward:

I would love to be shown the beauty of math o great one.

mhchen:

Unfortunately jungkook doesn't want to but sure I'll give you a ride Gdeinward. First of all. Solve for A and B using simple algebra: |dw:1568336832045:dw|

Gdeinward:

are the 2 equations correlated or are they separate?

Gdeinward:

ah I thought so, but I was confused for a sec

Gdeinward:

Ah it's a lat night. I'm having a bit of trouble

mhchen:

So A = 1 - B Then by substitution: \[\frac{B}{1-B} = \frac{1-B}{(1-B)+B}\] so \[ B = (1-B)^{2} \] Can you solve quadratics?

Gdeinward:

yes that is something I can do

Gdeinward:

B = (1-b)(1-b)

Gdeinward:

1-b2-b²

Gdeinward:

B = b² - b2 - 1 0 = b² -b3 - 1

Gdeinward:

the answer would be b = 3/2 - sqrt(13)/2 and b = 3/2 + sqrt(13)/2 right?

Gdeinward:

-0.302 and 0.302 right?

Gdeinward:

sorry 3.302 and -0.302

Gdeinward:

that solution is incorrect?

Gdeinward:

I followed the rules, that is classic polynomial form, im confused

Gdeinward:

Oh I see. Iwas trying to organize it better and I messed it up

Gdeinward:

-b^2-3b+1 = 0 is correct

Gdeinward:

its -3.302 and 0.302

Gdeinward:

Im so sorry. I feel like a dum dum

JSVSL7:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Gdeinward Im so sorry. I feel like a dum dum \(\color{#0cbb34}{\text{End of Quote}}\) Gdein silly mistakes happen, -b * -b is simply b^2 not -b^2 so solve for b^2-3b+1

mhchen:

He's right. To save time, take a look at this. a/b = 1.618... What is b/a? Google this number and tell me what it is.

JSVSL7:

WOW

JSVSL7:

It's pretty cool, it's the same number that forms the ratio in the fibonacci sequence, and the same ratio of our facial structuring

mhchen:

Exactly. Good understanding so far JSVSL7. The golden ratio is related to the best, most aesthetic position. Now then, tell me what happened on June 18, 618 AD (6/18/618)

JSVSL7:

Not sure what happened that year

mhchen:

Which Chinese dynasty was considered "China's Golden Age"?

JSVSL7:

Ah, you're referring to the Tang Dynasty?

mhchen:

And when did the Tang Dynasty begin

JSVSL7:

Same date

xabippemeff:

X died that same day

JSVSL7:

I thought of that too ^

mhchen:

You can look more into what humanity was like during the Tang Dynasty. It was a semi-divine culture. Shen Yun is a Classical Chinese Dance show that revives the lost culture through dancing if you want to check them out: https://www.shenyunperformingarts.org/explore/view/article/e/5cYFXdEoCP4/tang-dynasty.html Anyways I'll leave that exploration for you. Let's go with 2. Music: An octave is 8 notes apart, or 13 counting the sharps/flats. (see how it relates to the fibonacci?) In music theory, what is a major chord made out of?

mhchen:

So a major chord is composed of a root (any note, for example, A). a major third, and a perfect fifth. (notice the resemblance to fibonnaci sequence) Let's take a look at their frequencies:

mhchen:

If you have a piano, you can experiment playing chords (Root) - (Root+5) - (Root+8) , or (Root) - (Root+8) - (Root+13) if counting black keys For example: A-E-A C-G-C G#-D#-G# and compare them with any other chord with a slight change in notes. See how it sounds. Next up: Photography, someone tell me what the Rule of Thirds is used for.

akshay:

Rule of third is used to show the focus of an object along those intersection lines? I took photography a while back

akshay:

But not to interrupt, The Taj Mahal's entrance also has its aesthetic designed with the golden ratio

JSVSL7:

Traditional Persian and Khorasan (afghanistan and some of pakistan) architecture also had a large significance of golden ratio

mhchen:

Very good, it is almost at the point where the golden spirals lie, but not quite: You can google examples yourselves. We can apply the same thing to things like Leonardo Da Vinci's Study of Human Proportions, proportions of musical instrument bodies, art, flowers, architecture (like you said) etc...

akshay:

Cool thx

mhchen:

I'm tired xd. I'll stop here. I think these are enough to get you passionate about applying math to things.

akshay:

@jhonyy9 I'm sure he would like to see

akshay:

Thx I'm mindblown

Gdeinward:

Yeah thank you, sorry I couldn't stay to see it! That is very interesting.

jungkook22:

I am slightly scared now

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