Introduction to Magic square and how to Create Magic Squares.pptx
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20 slides
Nov 21, 2024
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About This Presentation
Mathematics
Size: 1.98 MB
Language: en
Added: Nov 21, 2024
Slides: 20 pages
Slide Content
Magic square
What is magic square?
Types of magic squares The “magic constant” sum of each row, column, and diagonal with where n is the number of squares in each row.
3 x 3 magic square
Place the number 1 in the center box on the top row.
Follow an up-one, right-one pattern to fill in the remaining numbers. If the movement takes you to a box that is already occupied, go back to the last box that has been filled in, and place the next number directly below it.
4 x4 or Doubly Even Magic Square
How to get the sum
Create Highlights A–D in the corners of the magic square. In a 4 x 4 square, only mark the 4 corner boxes as your highlights. For an 8 x 8 magic square, the Highlights become 2 x 2 mini squares in the corners. In a 12 x 12 square, each Highlight is a 3 x 3 area.
Create the Central Highlight.
Fill in the highlighted areas of your magic square. 1 in the top-left box and 4 in the top-right box 6 and 7 in the second and third boxes in Row 2 10 and 11 in the second and third boxes of Row 3 13 in the bottom-left box and 16 in the bottom-right box
Fill in the rest of the magic square by counting backward
Calculate the magic constant.
6 x 6 magic square Divide the magic square into four quadrants of equal size.
You will get four 3 x 3 magic squares
Solve each quadrant using a one-up, one-right pattern.
Create Highlights A and D.
Create Highlights A and D. Swap the positions of Highlights A and D.
Swap the right columns in B and C for magic squares larger than 6 x 6.
How do you solve a 7x7 magic square? Place the first number of the magic square in the center box of the top row. Then, use an up-one, right-one pattern to add the numbers .