# Month: March 2015

### SYMMETRY AND TESSELLATION

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

### ARTWORK IDEAS

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

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

### Artwork Ideas ( By Kevin Xu)

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

### Ideas for Artwork (By Michelle So)

#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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### Artwork Ideas ( Josh Luong )

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

### Artwork Assignment Ideas (By Joyce Liu)

#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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