In the below image we have a magic square of a size 3x3. The magic number for all its rows, columns and both diagonals is 165.
Rotate the grid 180 degrees and all sums still have the magic number 165. Hold a mirror to the edge of the grid and the reflection still adds to 165
Is it possible that this is the only square where this works?
Using digits as displayed on a digital clock, how many other magic squares of size 3x3 can be made that hold the rotation or the reflection properties, or both?
How many different magic constants can be created using this method?
0,1,2,5,8 can all be used and retain their values
3,4,7 can't be rotaed or mirrored so can't be used.
6,9 can be rotated to create each other but can't be mirrored.