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Get rid of the GridPlot Margins for Tiles?

Posted 7 months ago
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How do I make graphic objects in the cells of GraphicsGrid fill the cells completely, that is with no margins?

Example:

H1 = RegularPolygon[6]
GraphicsGrid[{{Graphics[{Red, H1}], Graphics[{Blue, H1}]}, 
   {Graphics[{Blue, H1}], Graphics[{Red, H1}]}}]

I'm trying to re create tiling patterns that I saw at the Alhambra in Spain. The tiles fit closely together.

Thanks

enter image description here

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