Author: Eddie Woo

Is mathematics discovered or invented? The answer is primarily based on what you define ‘mathematics’ is. In one, maths can be described as being discovered, as numbers were always around. Form our recent studies in class of the golden ratio and golden spiral, it is evident that these have always been around in nature, we just needed to find them, not invent them. Hence one side of saying maths can be discovered. 
But on the other hand, maths can also be invented. Based on a simple analogy of creating something from something already discovered. Are you really discovering something? Or inventing something new. From the computer analogy given in class by none other than Joshua Luong, a computer is made from raw materials already discovered. So did you discover the computer or actually invented the computer? We can take this into terms of maths. The formula for Pythagoras’ Theorem. We had built up to that from numbers, which were discovered, but the formula was invented as it was not previously noticed or made. 

So in conclusion, the discovery and invention of mathematics can vary, depending on how you interpret ‘mathematics’ as a whole. I personally think that maths, and all of its components, is invented. 

#exploremaths

#exploremaths

Maths, although not certain, is most likely under the
category of discovery, as numbers were always there. There are a “number” of
things in the world, therefore this comes naturally. Despite this, it could be
invented as the Aboriginal people used only one, or many and had no number
system. In my opinion, I believe that maths was discovered and then inventions
were developed from the discoveries. Maths is its own language, as the natural
numbers are in nature and ever since then, humans have been inventing their own
formulas and mathematical theories. Therefore, maths was firstly discovered.

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Maths
rotates you, nature, our solar system, and the sun. Maths is present in
everything the computer your reading this submission your keyboard even the red
pen you use to mark papers. It all rotates around you but is it hard to believe
that the sound waves you hear when listening to the latest Ariana Grande song
is maths.

In
today’s lesson we watched a TED video explaining the intervallic relationships
in music is all maths. Amazing me I wondered how this was discovered and proof
towards this as it was hard to believe. The video explained that the western
scale you play on the piano is actually made by the same person who created the
Pythagoras Theorem. The father of mathematics was also none to be the father of
music. In the video it explained how Pythagoras discovered the octave has a 2:1
ratio. It was this formula that many instruments grew out of including the
guitar and piano.

This
lesson brought full amazement to me having my mind to seek through many
different aspects of our world were maths is applicable. God’s beautiful
creation has resulted in maths.

#exploremaths

In
class we have discovered interesting properties of symmetry and tessellation as
we applied four different kinds of symmetry such as rotation, reflectional,
scale and translational symmetry. In past the title, ‘symmetry and
tessellation’ had been a very vague title having to think that such thing has
no use in maths.

That
specific lesson presented the knowledge I need to seek symmetry and
tessellation from a very different perspective in result of learning scale
symmetry with a random shape consisting 5 sides, of my choice that was made
smaller or bigger depending on the scale you chose. We also created very
interesting spiral like thing. It presented very in depth mathematics involving
a scale and rotational symmetry as well as the golden spiral in infinite
amounts.

 In conclusion after observing what amazing
things you can present using symmetry and tessellation, my mind ponders through
the vast topic of symmetry and tessellation and how it plays its own role in
mathematics.  

#exploremaths

When
assessment was introduced in class ideas started flowing through my head, as
the idea started feeling much easier after having to ask this one simple
question, ‘can you create this through the computer”. During these last few
weeks I’ve been gaining inspiration as I browse through the internet for more
create ideas and formulas used to create such images. After looking at some
amazing fractals including the eye straining Mandelbrot set, Julia set and the
Koch snowflake. The artwork that I will be presenting will be inspired by the
Mandelbrot set having to construct it on computer as it is just a formula and
the rest of the settings applied are by your own preference, including colour
selections, scale etc. Such fractals amazed me and I am eager to see what the
final result of my own creation can be, Furthermore I can’t wait towards
handing assessment in.

#exploremaths

Fractals are infinitely complex
patterns that are self-similar across different scales. They are created by
repeating a simple process over and over in an ongoing feedback loop. Driven by
recursion, fractals are
images of dynamic systems, what I like to call ‘the pictures of Chaos’.

Geometrically, they exist in between our familiar dimensions.
Fractal patterns are extremely familiar, since nature is full of fractals. For
example, trees, rivers, coastlines, mountains, clouds, seashells, hurricanes,
etc. Abstract fractals such as the Mandelbrot Set can be generated by a
computer calculating a simple equation over and over.

Fractals show beauty and through its state it shows nature
from a different perspective unveiling the geometrical figures and patterns,
having to portray the beauty of both nature through mathematics.

#exploremaths

As soon as this question was handed out to me, I immediately thought that this would be the only thing in Maths that I would stuff up. Fortunately, that was replaced by the idea of set theory test that was in less than a weeks time. But, after I had a look at some things on the internet of fractals in artwork, I realised that maybe I could have a tie with the test because many of the things I thought of like starting out with a rectangle then golden ratio-ing the other two parts of the rectangle were already taken by artists like the Primary golden rectangle by Marc Pouhe. So I started out with a triangle and try and make a fractal out of it somehow because what could possibly go wrong with a triangle. After having a reputation of getting a Venn Diagram named after me because of the complete utter stupidity of a 3 circle Venn Diagram, the now famously named ‘Kev-Venn Diagram, you could probably guess where my triangle went. Yep, now called a waste of paper and graphite. So, after that attempt of being the genius of triangles, I think maybe I could incorporate my artwork to a more correct version of the ‘Kev-Venn Diagram’ with some kind of fractal involved making something more correctly mathematical. #exploremaths 

#exploremaths

I was given the question of what ideas do I
have in mind for my artwork. My brain was completely blank when it came to ideas. Although
there were ideas which floated around my brain, I couldn’t figure out which one
to choose. After deliberating for a few days, I finally conjured up an idea
which I was satisfied with. The idea which I had in mind was to design an infinite
sign made out of fractals such as the Sierpinski’s triangle. The outline of my
background so far is outer space so I plan on using other shapes such as the
Apollonian gasket and tessellations to be the planets and the stars in order make
my artwork more captivating. There will also be a wide range of colours used to
illuminate my artwork for it to appear like space.

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Over the past week or so, having to think of something creative have proven to be quite difficult due to my bland personality, However after looking at some magnificent fractals online such as the eye straining Mandelbrot set and seeing such intriguing pattern with the aid of mathematics, I knew for certain that I was stuffed. Finding myself thinking about this assignment I had begun pushing my cognitive levels to extremities and ended with a half complete solution like the Kev Venn Diagram or counting half way to infinity then giving up. I would somehow incorporate fractals into my daily chores or hobbies. #exploremaths

#exploremaths

The vague structure and small amount of prompting of the assignment made my creativity feel pressured. Although I originally felt blank about what I wanted to do, I was able to gain some inspiration flipping through my exercise book. I saw Sierpinski’s triangle, the Golden Ratio, the Mandelbrot Set, and various other images. I have chosen to draw different flowers using the golden ratio. By making them different sizes and colours, I hope to create a beautiful artwork of flowers. Although I want to do this I may also incorporate other mathematical designs in the background, to make it more appealing. It is not certain that I will do that, but quite likely.

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