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Figure 5
The green (smaller) triangle is nested in the larger (black) one. Notice the two ways of drawing this. A patch of triangles that arise from our tiling presents the inner triangles as being totally in the interior of the outer ones, as shown on the left-hand side here. We often will wish to allow the inner triangles to stretch to meet the boundaries of the outer triangles, as shown on the right-hand side of the figure. This creates three new triangles called corner triangles, so that the outer triangle is now decomposed as four equal-sized triangles.

ISSN: 2053-2733
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