MAGIC SQUARES WONDER CUBES and OTHER SAME SUM OBJECTS

Speaker:
Prof. Emeritus Azaria Paz - Distinguished Guest Lecture
Date:
Tuesday, 10.4.2018, 14:30
Place:
Room 337 Taub Bld.
Affiliation:
Computer Science, Technion
Host:
Yuval Filmus

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. ======================================== Refreshments will be served from 14:15 Lecture starts at 14:30

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