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
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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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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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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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.
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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
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
The videos were both funny and interesting as we got to learn a lot from it.
For the first video, Donald Duck in Mathmagic Land, ideas that surprised me were mostly about the golden ratio. It was how Pythagorus theorem is related to the music today and some sports that we play football. All of these ideas in the video are mathematical as it is all related to the golden rectangle/ratio.
For the second video, Ted talk, was again about Golden Ratio (man Golden Ratio are very interesting). The most surprising examples that was spoken was nearly everything in our life is based on the golden ratio. Also, when I saw that plastic surgery uses the golden ratio, I was shocked. These two examples are unusual because we never see them in right way or feel very little things in our lives.
For the last video, I think human beauty is not only about numbers, because sometimes when people have really beautiful face, doesn’t mean they are kind and grateful inside. It doesn’t matter if a person looks beautiful but unless they clean inside (numbers cannot prove this), for us their is nothing good in them.
#exploremaths
i personally found the fact that most monuments in the world required the golden ratio.
i looked up many pictures and could locate many of the golden ratio including curved shapes. i found this lesson’s excercise very intriguing and informative. i feel as if the complicated pattern which it represents very intriguing like the rest of the lesson and the way spirals can be derived from a rectangular shape
P.S this post is late I got it mixed up with another
# exploremaths
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 #eets
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