Russell Lim – Medium

Russell Lim

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The Greatest Mathematicians — A Data Visualisation

Our modern society is built upon mathematics. And mathematics is built upon the achievements of thousands of outstanding individuals…

Jun 18, 2022

The most influential mathematicians — a data visualisation.

Jun 18, 2022

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Russell Lim
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Nice Math Problems

A Very Nice Algebra Problem from the 2023 China Math Olympiad

The Chinese IMO team eat sequences like this for breakfast!*

Jan 3, 2023

A Very Nice Algebra Problem from the 2023 China Math Olympiad

Jan 3, 2023

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Cantor’s Paradise

Least Squares vs Least Absolute Errors —A 250-Year-Old Debate

From Gauss and the birth of statistics to modern data science and machine learning

May 8, 2022

Scatterplot with least squares regression line and least absolute value regression line. Background image is brain and computer chip, symbolising artificial intelligence.

May 8, 2022

Russell Lim
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Nice Math Problems

Yes High School Math in China is Hard!🧨

Here is the final problem from the 2024 Gao Kao Math Paper

Jun 14

Yes High School Math in China is Hard!🧨

Jun 14

Russell Lim
in
Nice Math Problems

Pythagoras Would Have Loved This Pyramid Theorem! 🥰

A pyramid is constructed by gluing together three right triangles with areas A, B, and C, so that the hypotenuses form a triangular base of…

Jun 6

A² + B² + C² = D²: in a right-angled tetrahedron the sum of squares of areas of three sides meeting at the right angle is the sum of the square of the area of the remaining side

Jun 6

Russell Lim
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3D Math Animation — Geogebra vs Desmos vs Manim

In this article I will discuss the pros and cons of Geogebra, Desmos 3D and Manim for creating a 3D geometry animation. The specific…

May 24

3D Math Animation — Geogebra vs Desmos vs Manim

May 24

Russell Lim
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Nice Math Problems

Slicing a Cube With 8 Planes

is not so simple to visualize!

May 19

Slicing a Cube With 8 Planes

May 19

Russell Lim
in
Nice Math Problems

Can You Tell the Time on This Clock?

This clock is ambiguous — or is it?

Apr 26

Can You Tell the Time on This Clock?

Apr 26

Russell Lim
in
Nice Math Problems

A Nice Factorial Equation from the 2024 Australian Mathematical Olympiad

Solve m! + k! = k! × n! for positive integers (k, m, n)

Apr 11

A Nice Factorial Equation from the 2024 Australian Mathematical Olympiad

Apr 11

Russell Lim
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Cantor’s Paradise

YES sin(𝜋/5) DOES Have an Exact Value

Calculating sin(𝜋/5) using Similar Triangles and the Pythagorean Theorem

Apr 4

sin(𝜋/5) is equal to half the side length of the regular pentagon inscribed in the unit circle

Apr 4

Russell Lim

Russell Lim

I teach high school mathematics in Melbourne, Australia. I like thinking about interesting problems and learning new things.

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