Published October 17, 2024 | Version v2
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Universal and Upside-down Magic Cubes

  • 1. Formerly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil

Description

This work brings magic cubes in universal or upside-down way. It is based on 6 magic squares for six sides of the cube. By upside-down, we understand that making  180 degrees rotation still we have a magic square. By mirror looking, we understand that putting magic square in front of mirror, still we get a magic square. When the magic square is of both type, i.e., upside-down and mirror looking, we call it as universal magic square. In case of upside-down situation, then 6 becomes 9 and 9 as 6.  In case of mirror looking, the numbers 2 becomes 5 and 5 as 2 (using digital fonts). The work is only for the magic squares of orders 3, 4, 5, 7 and 8. Whole work can be accessed at author's web-site.

Files

Universal Cube.pdf

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