A Tessellated Quilt
A tessellated quilt uses a single shape repeated over and over to fill the space. You might think it would be hard to design a tessellating shape. But it's not.
There are several ways to do it. I'm going to show you my current favorite way.
In this example, the corners with the diagonals are always placed so that the diagonals are in the center of the new block.
The new block can be combined, by repeating it or rotating it, to make a tessellating pattern.
When this new block is repeated or rotated new patterns result.
One of these patterns turns out to be the same as one in the example above, except that it is shifted half a block up and to the left.
In the examples all of the designs tessellated. This doesn't always happen.
If you create a design that doesn't tessellate, you can always throw it out. But you don't have to. If you like it, there is no reason that I can think of for you not to use it anyway.