There isn't just one square tessellation .... there can be many. You will have to look up some or make your own. But squares CAN be used in tessellations, if that is your question.
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A tessellation is when a shape is repeated over and over creating an image without any spacing.... like triangles put together next to one another in an endless plane.The tessellation is a repeating pattern of figures that covers a plane without any gaps or overlaps.Honeycomb is a tessellation of hexagonal cells. You can see tessellation on some pavements.Source: http://www.icoachmath.com/SiteMap/Tessellation.html
No - because they would leave a small, square-shaped space between each tile.