Magic square and cube research and resources

Latest magic square research (image below), as presented at Symmetry 2021. The magic square research software/art generator webapp used for this work is available to all but still under development.

Selected research resources (in order of priority):

1. Magic square generator and validator, built into a webapp explained at squares.cubelife.org/about
2. An explanation of the shared magic line of magic square groups (right arrow -> next slide)
3. A simple formula for the number of unique positions in a magic square matrix
4. A history of magic squares (in progress)

Earlier work

Java (applets are no longer supported in web browswers):

• cubeExplorer, an applet developed by Greg Turner for viewing individual magic cubes in 3D.
• an earlier applet for viewing individual magic cubes.

8 symmetrical order 4 squares: early magic line animations. These have been replaced by our magic square webapp.

Left: 8 symmetrical order 4 magic lines.
Right: the same magic lines superimposed.