Magic Squares, Spheres and Tori

Magic Squares offer partial glimpses of the convex or concave number systems that they represent. Analysed using modular arithmetic, Magic Tori open new perspectives.

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Showing posts with label Frénicle standard form. Show all posts

Thursday, 15 June 2023

440 Torus-Opposite Pairs of the 880 Frénicle Magic Squares of Order-4

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Finding the torus-opposite pairs of magic squares in even-orders: The following diagram, which illustrates the array of n² essentiall...

Sunday, 13 January 2013

Third-Order Magic Torus T3

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The first illustration shows a line path escaping from the boundaries of the traditional 3x3 magic square. The liberation of the line pa...

Friday, 5 October 2012

Table of Fourth-Order Magic Tori

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In a previous article "255 Fourth-Order Magic Tori, and 1 Third-Order Magic Torus," the 255 fourth-order magic tori have been id...

Friday, 9 March 2012

From the Magic Square to the Magic Torus

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This post is a translation of the article "Passage du Carré Magique au Tore Magique," first published in French on the 11th Novem...

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William Walkington

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