Tessellation Symmetry Page 3 of 6:
Translation (Sliding)
This is the basic "tile" shape of the tessellation on this page: it's a horse and a hawk together. The tessellation picture is made by repeating the tile and fitting all the copies of the tile together.
There are three ways that a tile can repeat: Translation, Reflection, and Rotation (Sliding, Flipping, and Turning).
At right we see the first way: Translation (Sliding). The shapes of the bird and the horse repeat by moving...sliiiiiding... a little down and a little left.
So, why do we call it "translation"? Well, we call that movement a "translation because we "translate" the tile along the X-axis and the Y-axis. In math, we'd say that we can move a tilted line along a graph by saying "X=Y" for the original line and "X1 + 4 = Y1" for the line that would be 4 boxes above it on a piece of graph paper.
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