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RELOAD the page or double-click to return to the START of the movie.

Diamond grid

Here we consider a small grid of squares where the grid-lines are parallel or perpendicular to the invariant line, so that it is perhaps easier to shear. Again, we can imagine covering the whole plane with such a grid, so that the shear produces another grid of parallelograms. [Note, though, that while the letter F sits nicely on this grid, the letter A does not.]

We end with a related task that looks at area: PS