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User:Craig Knecht

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I invent models to explore the physical properties of magic squares. More recently I defined the 46 sphinx dominoes.

The illustration below is a 11 x 11 magic square depicted as a water retaining surface. The letter "H" is shown with side specific drainage to the left and to the top. Of the 26 letters, the letter H is the most difficult to make. Harry White and I wrote the American declaration of independence on the surface of a large magic square in 2014.

Magic square model.jpg

This illustration shows a efficient way to figure the water retention for one of these squares.


The fundamental sphinx tile based macro-tiles that tile larger order sphinx are identified.

Sphinx tile based 12 and 18 iamonds.png

Sphinx tile domino set.png

Various polyiamonds are used to tile the bird.


Five different pentiamond tilings of the bird.

Pentiamond xray.png