Golden Stories

For many years, I never quite knew how to describe what I was doing.

I taught mathematics, physics, and programming.

I developed software.

I made coding videos.

I collected stories from students.

I shared my granddaughter Rhea's discoveries.

I wrote about music, badminton, learning, and curiosity.

None of these felt like separate things.

Recently I finally found a name for it:

Living Museum of Learning.

A museum usually preserves objects.

A living museum preserves moments:

• a child's first program
• a difficult problem finally understood
• a teacher's new idea
• a family's encouragement
• a student's breakthrough
• a question that changes everything

Learning is not simply a race, an exam, or a collection of certificates.

It is a collection of stories.

After years of teaching and software development, I have begun building this idea at:

muzhi.com

Perhaps one day it will become a place where learning stories, projects, questions, mistakes, and discoveries can continue to live.

Small circles. Big thinkers.

🌱 iOS Dream Team
Small circles. Big thinkers.

The Day I Saw Hidden Vectors Behind 72 and 42
(A little spark for fellow lifelong learners)

Not long ago, while revisiting a math textbook, I followed the classic Euclidean Algorithm to solve a linear Diophantine equation:

72x + 42y = 6

I knew the steps:
72 = 42 + 30
42 = 1×30 + 12
30 = 2×12 + 6

Then I reversed the process — and that’s where the beauty hit me.

Instead of just crunching numbers, I started tracking how each number was built from 72 and 42, step by step:

30 = (1, -1)
12 = (-1, 2)
6 = (3, -5)

These weren’t just coefficients anymore. They felt like 2-D vectors — and even more than that: I was witnessing a transformation of one basis into another. The vectors were shrinking, simplifying — a natural change of perspective. I was no longer carrying 72 and 42 everywhere. I was working with something leaner, smarter.

It was the first time I felt this method as something almost visual — not mechanical.
And that moment made my day.

I now believe moments like this are available at any age. We just need to stay curious, keep learning, and enjoy the process.

6 = 3×72 - 5×42

Yes, I got the answer.
But more importantly — I saw the structure behind it.
And it was beautiful.