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The interactivity enables you to look at two copies of the same pattern and to move one in relation to the other by translating one copy of the pattern and rotating it.

FULL SCREEN VERSION

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The obvious tiling properties of the pentominoes may be well known to many of you but the following may not be.

Consider the tessellation of the 'T' shaped pentomino. Using a duplicate of it, begin to 'overlay' the two tessellations to produce interesting tiling effects.

Find the effect that pleases you most and try to replicate it using LOGO commands in an elegant procedure.

Alternatively you may want to investigate:
other pentominoes;
other overlays;
a mixture of overlays.