4x4 Magic Squares
Inventory with Colors
Posted here are 7040 4x4 magic squares. These pages attempt to show the complete list of 4x4 magic squares.
Each square contains the numbers 0 thru 15, and each row, column, and diagonal should add up to 30. Any given square will have 7 other similar squares found by rotating and flipping. 7040/8=880.
The pages are arranged by the number that appears in the top left position of a square. At the top of each page are links that cause different color schemes to be applied. Below are examples of Odd/Even, Rainbow, and Fade.
Magic Carpet Squares
384 Carpet Squares
Some 4x4 magic squares can be repeated to make a magic carpet. There are 3 magic carpets and each has these properties:
- Any 4x4 square contains the numbers 0-15.
- Any 4 squares in a horizontal line add up to 30.
- Any 4 squares in a vertical line add up to 30.
- Any 4 squares in a diagonal line add up to 30.
- Any 2x2 square adds up to 30.
Example squares from each of the 3 carpets:
from Carpet #1
from Carpet #2
from Carpet #3
Links to Magic Square Sites
These sites have more on the history and details of magic squares: