## AT2 ideas (by @fufujackattack)

Hi Mr Woo,

These are the 3 ideas for AT2!

1. SIERPINSKI’S TRIANGLE PORTRAYED IN 3 DIFFERENT WAYS

Have a huge equilateral triangle and divide it in to 3 sections. The top section can be the Sierpinski’s triangle through the trapeziums drawings. the middle can be the original Sierpinski;s triangle. The last section would be the pascels triangle portraying the sierpinskis triangle.

2. PYTHAGOREAN TREE BONSAI

Create a Pythagoras tree and draw a bonsai pot around it. Maybe even include a snail/hermit crab with the golden spiral shell!

3.STAR FRACTAL SNOWING

Have a snowing scene with the snowflakes as star fractals!

4. Possibility of a combination of 1, 2 and 3

Yay!

#exploremaths

## Fractals

Hello!

In the fractals lessons, we learned about how fractals  are shapes that have the same recurring pattern at every magnification. I was really surprised to learn that fractals can be found all around the world physically and through numbers too. The construction of our very own fractal was great and it gave me the starting insight to how fun fractals can be!

We also explored fractals through iterated functions too. The bounded and unbounded sequences amazed me as I would never have thought about fractals in numbers.  The Mandelbrot set was the best part of the topic on fractals as it gave me a visual representation of fractals through the complex plane.

Yay!

#exploremaths

## Golden Ratio (by @natashaaaaaa_xo)

Hey sir,
I found the golden ratio very fascinating. I was shocked to find out
that it appears in so many places, especially old architecture. I
found it amazing how some of the 20th century architects had
proportioned their work so precisely, and in the form of Golden Ratio.

#exploremaths

## Change my ideas for artwork (@kewalbro)

I was willing to do the sierpinski triangle somewhere in my artwork. So what I decided to do is that I draw a human body part and place fractals in them. So if you think any of my ideas are good, which one do you think I should.

Draw a eye and place a spiral rose inside it. On top of this have the 4 colour theorem inside it

Draw the dragon curve and place the 4 colour theorem in it

Draw the Koch snowflake, where each triangle contains the Sierpinski Triangle

#exploremaths

## Exploring maths 3 (by@ria_chanana)

Feedback on the videos: All of them were very interesting.

1) Donald Duck in Mathmagic land- This video was very long, almost half an hour BUT it was very interesting too.

One thing that really surprised me was how music is related to Pythagoras. It would’ve taken ages to work that out.

Another thing that surprised me was that billiards uses so much maths. The player needs to be really good with angles and needs to know the diamond system. Its incredible.

2) TedXEast- Matthew Cross- This video had a lot of interesting examples of the golden ratio and it was hard to choose only two.

The first one that surprised me was the fact that twitter and other popular websites used it. I never knew that the inventors of these websites would be so mathematical. Why would these inventors spend so much time and care about a random ratio when they need just need to make the website look attractive and useful.

The second example which surprised me was Michael Jackson’s Thriller video. It would’ve probably been a co-incidence but the fact that people go really deep into these topics is just amazing.

3) Pythagoras: How to measure beauty- I think that Human beauty is not at all about the physical appearance or numbers for that matter. I believe that it is to do with your personality and beliefs.

#exploremaths

## Fractals and Iterated Functions (by @brendanmckee99)

As someone who knew a little about fractals before we started, I was interested to learn more about them.

I found it interesting that you can creat fractals such as the Mandelbrot Set by using algebra, as I had no idea it was created that way. I also didn’t realise that repeating patterns went so far into it, it is like hundreds of different fractals in one.

This fractal topic was quite interesting, and I am excited to see what our next topic is.

#exploremaths

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## Video Lesson (@bubbling_blah)

all three videos were amazing. I was amazed by the Golden Ratio. the lesson was entertaining….

#exploremaths

## Ideas for Maths Artwork (by @happynikitakk)

Here are my ideas for the mathematics artwork assignment:

1. A human face drawn in the Golden ratio, with fractals drawn within the face.

2. An eye, with a fractal instead of an eyeball.

3. A human hand, placed on top of a tablecloth. The tablecloth pattered with a large fractal design, slightly crumpled and disfigured by the hand.

​#exploremaths​

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## Three art ideas (by @T_of_the_P)

Three ideas that I’m interested in doing for the art design are:

1. Pythagoras tree

2. Sierpinski’s Pentagon

3. Golden Ratio Spiral

4. If possible, I would really like to do a Mandelbrot set, although I doubt I would be able to do a decent job at it as it is very precise and I would have to go down to the millimetre.

From Tom

#exploremaths

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## Two dimensional artwork (by @sexyguy7890)

1. Using the golden spiral I will add in with fractals.

2. 1 point perspective of a building that consists of fractals, golden ratio and symmetry.

3. Same concept but 2 point perspective but also put in the 4 colour-theorem.

#exploremaths