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It is the similarities in the broken and shattered shapes we find in nature. Such patterns can be observed between things such as rivers, trees and blood vessels which all share a common pattern and structure. These are fractals.

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Fractals get their name from the same place as fractions and fractures - it is a reference to the broken and shattered shapes we find around us in Nature. You see them everywhere, for example: a head of broccoli, the head of a fern, clouds in the sky.

A fractal is a never-ending pattern. 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 – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals.

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The speaker gave the example of the patterns inside the sunflowers which rotate at 137.5 degree. This seemingly random result is calculated using golden ratio.

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Eddie makes use of recursive nature of the shape of rivers, trees, lightning bolts and even the blood vessels in our body to explain the beauty of geometry in Mathematics. He shares how fractals in Mathematics share the same recursive nature as the things we see in nature.

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-Gets their name from the same place as fractions
- It is a reference to the broken and shattered shapes around us

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- He talked about sunflowers and how they rotate at 137.5 degrees

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- He use the river delta, trees and lightning.
- Geometry was an encompassing definition of anything that has shape or size just like the river, trees and lightning
- recursive structure

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The speaker made us of the patterns and similarities one can observe through a river, a lightning bolt and blood vessels. He compared these similarities to a concept in mathematics known as recursive structures

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The speaker used the circular center of the sunflower, illustrating it's similarities with the concept of a golden ratio in mathematics

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It is the similarities in the broken and shattered shapes we find in nature. Such patterns can be observed between things such as rivers, trees and blood vessels which all share a common pattern and structure. These are fractals.

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Fractals are broken shapes and patterns that make a whole, which can be found all around us in nature.

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He gave the example of how flowers look beautiful because of their roational symmetry but sunflowers in particular follow the golden ratio and rotate out at a degree of 137.5.  Hence looking more spectacular and beautiful

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He used the example of the river delta. He brought in the mathematical concepts of fractals in which the river delta can be expressed as a pattern and repeated image that can be visualised and explained by geometry.

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-It is immensely practical -About learning to ask the right questions
-About forming new ways to to see problems so we can solve them by combining insight with imagination
-Mathematics is a sense just like sight and touch I
-t is a sense that allows us to see intangible things (pattern and relationships)

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The speaker defines Mathematics as a sense to solve problems and perceive the world in a different light

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Mathematics is about  forming new ways to see
problems so we can solve them by combining insight with imagination. It is also a sense that allows us to perceive realities like patterns, relationships and logical connections.

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He defines it as a human sense that helps us perceive patterns and connections that we see all around us in the world.

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What example did the speaker give to illustrate the golden ratio?

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What are fractals?

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What example did he use to explain geometry? How did he use Mathematics to explain this?

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Watch the following video (13:12) on Mathematics.

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Watch the following video (13:12) on Mathematics.

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Mathematics is the sense you never knew you had | Eddie Woo | TEDxSydney

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How does the speaker define Mathematics?