Iterated Functions and Fractals (@6arnu9)

In this lesson, it was hard to believe that we were still under the topics of fractals, but once you showed us the graph at the end, it was very believeable.

The complex numbers later on, REALLY confused me. I found it quite tough to understand in the beginning of the iterated functions, it got me quite confused, and made me go home and research some more. But overall, it was a fun lesson.

 

#exploremaths 

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The Golden Ratio (by @bradlehchung)

I learnt, in this lesson that every single rectangle follows a specific concept. It is displayed in every day objects, such as a human’s face.

I also never knew that music evolved from maths, and that it is a form of the golden ratio.

The ratio is part of everything, found everywhere, same with the concept of phi

#exploremaths

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First Lesson by Andy

The first lesson began with us having to explain what was our favourite elective and why we chose this elective. And then we got down to business! Your main motto was to make us think and you began to write simple series on the board.  You called this series Sg which was named after the mathematician Grandi and you began to solve it. When I first saw this series I was really confused and I presumed it would be a long term. But you actually made it easy with some simple substitution and addition and subtraction. I really did think!!! I really want to explore math in games, because I play games often and I never really see the maths in it. It would be interesting

#exploremaths #eets

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First Post Revised (by Subaruau)

 

i selected the exploring mathematics course because it seemed very interesting and intriguing.

 

In the course outline the topic which has interested me the most is the one about cryptography. i took interest in the cryptography subject because it seemed a thoroughly intriguing topic on the intricacies of codes and coded messages and the methods of which a codebreaker uses to identify and crack the code.

 

this post is revised from the original post.

 

#exploremaths

 

Iterated Function Systems- Todays Lesson (@tdawgg_99)

In this lesson, we learnt about the specifics of iterated function systems, mainly involving fractals. The sequencing really got me thinking more about how each function corresponds to one another and how they each link with a rule applied to it. Where there was an unbounding sequence, there was also a bounding sequence to go along with it and how they relate to each other. The fractal graph was a highly interesting concept learned, however, the imaginary numbers and real numbers were quite perplexing.

#exploremaths

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Further Fractals (by @sanjnavee)

I really enjoyed working on more complex fractals in groups and seeing how it eventually progressed into something more than just triangles, rather a more intriguing pattern of sorts.

The double lesson was challenging yet as usual interesting as we explored the idea of complex numbers and sequences to see how that resulted in some aesthetically pleasing fractals – namely the one seen on your website’s banner.

#exploremaths

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Iterated functions and Fractals (by@winstonfoo8)

In this lesson, it was hard to believe that we were still under the topics of fractals, but once you revealed the graph at the end, it was very believeable. The fractal on the graph was indeed good looking in terms of symmetry.

However i found it quite hard to understand in the beginning with the introduction of the iterated functions, it got me quite confused. But overall, it was fun and an educational lesson

 

#exploremaths

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Iterated Functions and Fractals (by @happynikitakk)

The past few lessons we have been looking at fractals in a very geometric way, creating beautiful and crazy structures. However, today we looked at fractals algebraically. We took a simple function and through iteration were able to create dynamic sequences both bounded and unbounded. What truly amazed me was when we were able to see these points plotted onto a Cartesian Plane and how they created, wild, infinite and incredibly complex patterns and shapes.

We also explored imaginary numbers and how they created bounded sequences. I had previously heard of imaginary numbers and was interested when we were able to apply them to create sequences. The highlight for today’s lesson for me, was being able to visually observe how the imaginary numbers, plotted along with real numbers, moved across a Cartesian plane. I was very interested by this concept and hope to explore further mathematics with imaginary numbers.

#exploremaths

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Golden Ratio-catch up (by @sexyguy7890)

When I first saw what we call a ‘rectangle’ it looked pretty tedious and a shape that I’ve seen since I was kindergarten. However after the lesson about Golden Ratio, it was very interesting. I can see how mathematics can form beauty. Especially through architecture. Then the rectangle that we constructed can be turned into a Golden Spiral. This is also seen in nature. Now my perspective of mathematics changed.

#exploremaths

Iterated Function Systems (@kewalbro)

This lesson was a bit confusing but the graph at the end of the equation was awesome!!!

In this lesson, we learned about iterated function systems, which mainly involved fractals. The sequencing really got me confused but at end I understood it all. The function part and rule section, we did today was very interesting.The fractal graph was a new concept learned, however, the imaginary numbers and real numbers were quite confusing.

Today was a great day as it end with MATH

#exploremaths