# Home

### Chaos Theory 3: Finding Order within Chaos

July 1, 2020

Just because something is random, it doesn’t mean that it is unpredictable. In my introduction, let me share with you how we can find order within chaos. The applications of Chaos Theory are boundless. The beauty of Chaos Theory lies in how it intricately links order and chaos within the universe. One of my favourite books about the Chaos Theory is “Chaos and Fractals: An Elementary Introduction” by David Feldman”.

Inspiring seminars from the MIT series on Chaos Theory and Climate Change.

### Chaos Theory 2: A Story about the Butterfly Effect

June 3rd, 2020

The first in a series about the application of Chaos Theory in real life.

### Chaos Theory 1: My New Hobby!

May 26th, 2020

Recently, I’ve been exploring Chaos Theory after stumbling across it in my exploration of dynamical series inspired by the averaging sequence problem.

### Averaging Sequence Problem

May 9, 2020

It took me a while since August 2019 before I could come up with some good solutions to solve this problem. I guess this is the fun of doing maths!

An investigative post about how we could extend this problem into Chaos Theory will follow. […]

### An Investigation on Lattice Points Inspired by BMO1 2018

May 5, 2020

I set out to create my own investigation by tweaking the parameters in Q6 and explored lattice points […]

### BMO1 2018

December 19, 2018

So the BMO1 2018 occurred on Friday and I have not really had a chance to write a post about it till now. Overall, if given one word to describe the paper, it would be “different”. Different due to the notorious question 5, the AMC styled question 6 and the “slightly more work than usual” […]

### Some Original Solutions to BMO Questions

December 12, 2018

This is a compilation of solutions that I’ve found interesting while practicing a variety of BMO problems. The first one is BMO1 Q6 2011/12. This diagram is a really configuration. Those familiar with esoteric geometry may immediately jump to ideas of the nine-point circle, orthocentre reflections, the orthic triangle, and many more less well-known geometric […]

### Tournament of Towns

November 26, 2018

This Sunday, I will be going to the Tournament of Towns competition, so I spent a week preparing and looking at some past paper questions. The reason why I felt it was significant to write this down is because the question styles are rather different from the typical styles in the IMO and so on. […]

### Two Really Neat Geometry Questions

November 20, 2018

Let K be a point on the hypotenuse of a right triangle ABC where , and L be a point on the side AC, such that AK = AC and BK = LC. Let M be the intersection point of the segments BL and CK. Prove that the triangle CLM is isosceles. This question seems […]

### MIT Integration Bee Qualifying Round 2018

October 21, 2018

I thought this was pretty easy with a simple of to change the variable of integration. When familiar, you will also spot the application of the chain rule quickly. It looked hard at the start, but then it resolved itself more quickly when you try  to express the exponent of x. The power resembles the […]

### A Pretty Interesting IMO Q1 Level Question

September 18, 2018

Suppose that you have 9n points that you know are at least a distance of 1 away from each other, prove that there exists a subset with a cardinality of n such that each element is at least away from each other. Well when you look at questions of this type, the first thing that […]

### Fractals Represented

September 14, 2018

It may come as a surprise to many other mathematicians that someone who enjoys maths like me is taking art. But I suppose that every art is an aspect, or a function of math. Famous examples such as the painting of “The Last Supper” that supposedly utilise as a tool to improve aesthetics. Or was […]

### A Quick Word About Problem Solving

September 8, 2018

I was fortunate to have the chance to participate in many Olympiad math competitions such as the BMO1 and BMO2 in the UK. I have also dabbled in American competitions such as the AMC and the AIME. I hope that at some point during my high school career I can make the IMO Team or […]

## Latest Posts

Sept 30th, 2020

If you are interested in how maths can be applied to different disciplines to better understand the world, come and visit my website and podcast.

Links of Science” explores the interconnectedness of different disciplines and how science is relevant to us.

My podcast “Physics Empowering People” takes you to my conversations with mathematicians and physicists who are at the forefront of solving humanitarian issues – from tackling helium crisis, food shortage to climate change.

I hope my exploration will inspire any aspiring scientists, especially high school students like myself who want to learn how fundamental concepts are applied to the real-world.

### Physics

May 26th, 2020

GOOD NEWS! The experimental proposal I submitted for the BL4S competition has been chosen as a shortlisted proposal! Looking back, there were many setbacks.

Three days before the deadline, I found out that my original experimental proposal could not be done due to the low particle rates at DESY. What else could be worse at this critical time!!

Working from dusk till dawn, seriously didn’t leave my desk for more than 5 minutes (except during bedtime) in those three days, I managed to compile and create an entirely new experimental proposal. Unironically, I even felt that the new proposal had a much better chance than my old one. A tremendous amount of hard work and determination, but it is all worth it.

Richard Feynman once said,” We are trying to prove ourselves wrong as quickly as possible, because only in that way can we find progress.”

Fingers crossed I make it to the next round!

April 7th, 2020

An accompanying video for my Beamline proposal. It is aimed to introduce the most important aspects in a creative manner. If you want to find out more, please read my paper for details.

The 3D molecules were rendered in Blender, while the video was edited in Premiere Pro and After Effects. Indeed the best crash course of video editing and 3D scene creation from dummies to amateur!!

March 31, 2020

Over the past several months, I have deep-dived into everything from muons, Feynman diagrams, to crystal structures and beam dynamics. The final outcome was my proposal to profile the effectiveness of crystals as particle beam focusing and manipulation tools […]

### My Short Stories

March 27, 2020

Short stories series inspired by Lovecraft and Borges