Thursday, March 5, 2026
Wednesday, March 4, 2026
p5, p6 area of triangle —— animation showing why triangle remains having same area
Look at this video... 👀 https://pin.it/2TmpbIU9Y
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Tuesday, March 3, 2026
In fact — folding a square corner to another point literally constructs the perpendicular bisector of a segment.
You're doing Euclidean geometry without ruler and compass.
2) There are actual "origami axioms"
Mathematicians discovered origami follows formal rules — like geometry postulates.
They are called the Huzita–Hatori Axioms (7 rules).
They tell you how to fold so that:
- two points meet
- a point lands on a line
- two lines align
- or a line passes through a point
This is important because…
Origami can solve problems impossible with ruler & compass
Ancient Greek mathematicians could not do these exactly:
- trisect an angle (divide into 3 equal angles)
- double a cube
- solve some cubic equations
But origami can.
Why?
Because a fold can satisfy two constraints at once — which algebraically becomes a cubic equation, not just quadratic geometry.
3) Origami secretly does algebra
When you fold a point onto a line while another point lands elsewhere, the crease position is the solution of an equation.
That crease location is literally a root of a polynomial.
So:
Folding paper = solving equations physically.
Your fingers become the calculator.
4) Tessellations and fractals
Some origami (especially tessellations) uses:
- repeating patterns
- tilings
- angle constraints
This connects to:
- symmetry groups
- periodic tilings
- combinatorics
The famous Miura fold is especially important — it expands and collapses in one motion.
5) Real-world science (this part is amazing)
Origami mathematics is used in:
Space
- satellites fold solar panels
- space telescopes deploy mirrors
Medicine
- heart stents (insert small → expand inside arteries)
Engineering
- airbags
- foldable robots
- compact structures
NASA literally hires origami mathematicians.
6) Why math students should love origami
Origami teaches ideas that textbooks struggle to:
- spatial reasoning
- transformations
- angle relationships
- proofs visually
A surprising fact:
Students who learn geometry with origami often understand proofs faster — because they see why it works.
If you want, I can show you a simple fold that proves an angle bisector theorem (you'll physically prove geometry using one square paper).
P4, P5, P6 Whole numbers (max / min)
Terry and Jerry had 320 stamps and 180 stamps respectively when rounded to the nearest ten.
(a) What is the minimum possible number of stamps they have altogether?
(b) What is the maximum possible number of stamps they have altogether?
(c) What is the maximum possible difference in the number of stamps betweenTerry and Jerry?
(d) What is the maximum possible difference in the number of stamps betweenTerry and Jerry?
Re: The Gaussian Sum
Sent from my iPhone
On 27 Feb 2026, at 7:59 PM, Chang Cheng Liang <changchengliang@gmail.com> wrote:
https://www.instagram.com/reel/DTKjT4pCIz_/?igsh=MjhidGU4b3lwcjJ3
Re: The Gaussian Sum
Sent from my iPhone
On 27 Feb 2026, at 7:59 PM, Chang Cheng Liang <changchengliang@gmail.com> wrote:
https://www.instagram.com/reel/DTKjT4pCIz_/?igsh=MjhidGU4b3lwcjJ3
Re: The Gaussian Sum
Sent from my iPhone
On 27 Feb 2026, at 7:59 PM, Chang Cheng Liang <changchengliang@gmail.com> wrote:
https://www.instagram.com/reel/DTKjT4pCIz_/?igsh=MjhidGU4b3lwcjJ3
Sunday, March 1, 2026
Saturday, February 28, 2026
Friday, February 27, 2026
The Gaussian Sum
https://www.instagram.com/reel/DTKjT4pCIz_/?igsh=MjhidGU4b3lwcjJ3
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Sent from my iPhone
Check out what are Happy Numbers
https://www.instagram.com/reel/DVOIwYhCOrO/?igsh=dmJzNW1nbm54MGh6
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Sent from my iPhone
Thursday, February 26, 2026
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