Pascal Triangle: History + Make one yourself +Nine Properties

On this video I will explain who came first with the idea of this incredible magic triangle, the Pascal Triangle or should we say Staircase of Mount Meru or Khayyam Triangle or Yang Hui's Triangle or Tartaglia's Table. So many names for the same powerful "calculator" disguised by a simple triangle.

I will not only explain the origins of this triangle, but also 9 properties we can take from it. It's perfectness and accuracy it is simply amazing. I invite you to come with me on this travel of knowledge.

Of course, along the way I will also teach you how to construct the Pascal Triangle by yourself.

As a curiosity the names of the mathematicians that appear on the cover of this video are (from clockwise direction, starting at the top right):
✓ Yang Hui (China);
✓ Blaise Pascal (France);
✓ al-Karaji (Iran);
✓ Niccolò Fontana Tartaglia (Italy);
✓ Acharya Pingala (India);
✓ Jia Xian (Chinese);

👑👑👑 With so many wonderful minds, no wonder this triangle is MAGICAL !! 👑👑👑

On this video we will:
1️⃣ Talk about the history of Pascal Triangle;
2️⃣ Learn how to draw one;.
3️⃣ Comment 9 properties we can drag out of this triangle.

🔥 Content :

0:00 - Introduction
0:44 - Where did it all start?
2:52 - Presenting "The Triangle"
5:00 - 1) Triangular Numbers
6:15 - 2) Tetrahedral Numbers
7:30 - 3) Fibonacci Numbers
8:33 - 4) Sum for Diagonals
9:27 - 5) Powers : 2^r
10:45 - 6) Powers : 11^r
11:41 - 7) Coefficient for Binomial Expansion
13:30 - 8) Combination (Probability)
15:23 - 9) Square Numbers
16:30 - Thanks 🙏, subscribe 👍