TT1 Dissections

Author : Gavin Theobald

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TT1 dissections are created using two T strips. As for PT dissections there are limits on how we place the strips, but TT1 dissections are much more restrictive. Each strip must be placed so that its edges pass through the anchor points of the other strip. This means that there are only eight possible ways of combining the strips. If the strip elements have lines of symmetry, then there may be even fewer combinations.

We now look at an example by dissecting a triangle to a pentagon:

Triangle strip Pentagon strip

The strips are overlaid. Note how the edges of the triangle strip pass through the red anchor points of the pentagon strip and the edges of the pentagon strip pass through the red anchor points of the triangle strip. This causes the blue intermediate anchor points to coincide.

This gives the following dissection:

There are no more examples of TT1 dissections. This form of dissection is very rarely useful but is explained for the sake of completeness. We are now ready to look at the much more useful TT2 dissection method.

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