MAGIC SQUARES WONDER CUBES and OTHER SAME SUM OBJECTS

Prof. Emeritus Azaria Paz - Distinguished Guest Lecture

Tuesday, 10.4.2018, 14:30

Room 337 Taub Bld.

A MAGIC SQUARE is an arrangement of nxn disjoint integers on an
nxn square in a way such that the n rows, the n columns and the
two diagonals of the square sum to the same constant which is called
THE MAGIC CONSTANT. We will consider in this lecture magic squares
with n=3 only. We introduce a new generalization of magic squares
where 6 non equivalent positive magic squares having the same magic
constant are inscribed on the six faces of a cube. The six magic squares
on the cube are chosen in a way such that a multitude of same sum links
are induced between the six squares. Some derivations of the "same sum"
concept to other geometric objects, Tetrahedrons,Octahedrons and
Shield of David and an arithmetic generalization of the geometric duality
between Platonic solids are also investigated.Some cultural and traditional
connections are discussed.
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Refreshments will be served from 14:15
Lecture starts at 14:30