A magic tesseract is the next dimensional magic square after the
magic
cube. It is in the n*n*n*n dimension (4th). The first magic tesseract was
made in 1999 by J. Hendriks. A tesseract evolves from the cube when the
lines are drawn from all corners from one cube to their mirroring
counterparts on another cube. These new created lines are also called
'posts'. Tesseracts have a unique shape in which two different shapes can
be seen when looking from different angles. The iconic box inside a box,
but also has a strange octagonal shape.
A magic tesseract has $$n^3$$ rows,
columns and pillars, they also have $$2*3^n-1$$ orthogonal slice diagonals and
16 space diagonals (diagonals that cut through the cube/tesseract from
corner to corner) . The sum of the rows, columns, pillars and diagonals,
just as with the magic square and cube will add up to a
magic constant. However, as the amount of numbers needed to fill a magic
tesseract increases, finding their magic counterparts becomes increasingly
difficult.
