Real Mathematical Magic - The King’s Algorithm and Sallow’s Geomagic

Explore the fascinating world of magic squares in this 33-minute video featuring two distinct mathematical concepts. Dive into Bachet's algorithm, as depicted in the Korean historical drama "Tree with Deep Roots," and discover Lee Sallow's innovative geomagic squares. Learn how to construct odd-order magic squares using the king's method and understand the mathematical principles behind these intriguing numerical patterns. Examine the historical significance of magic squares in Chinese and Korean cultures, and uncover the connections between geometry and magic squares. Engage with practical demonstrations, proofs, and real-world applications of these mathematical marvels, including a special focus on 3x3, 5x5, and 7x7 magic squares. Gain insights into the creative process of designing geometric magic squares and explore their aesthetic appeal through various examples and resources.

Intro
Part 1: The king's magic squares
Proof
The order 5 and 7 magic squares
Part 2: Geometric magic square
Thanks!
Episode 1: the king's study with magic squares at 33:17 again at father "simplifies" magic squares
Episode 2: lunchbox action starts around 46:00 then again at the AHA moment
- at , there is no green circle on the 2nd row 3rd column square.
- at , I should have said: take any 3 or more of the numbers that add to 15, then the corresponding pieces combine into the 4x4 with the bite important because 7 and 8 don't work.
- at one of the pentominoes is a hexomino :