The Xara Trompe L'Oeil Room  Page 9
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Make a duplicate of the five shapes (Ctrl D).

Delete every other shape from the first copy and apply a blue fill (for reference only).

Delete the opposite shapes on the second copy as shown and change the fill to green (for reference only).

Group each set ( Ctrl G).

Center the blue panels over the blue beveled object.

 

Select both the panels and the beveled circle.

From the Arrange pull down menu, select Combine Shapes > Intersect Shapes.

The portion of the beveled circle behind the blue panels remains while everything else conveniently disappears.

 

Repeat the last step with the green panels and green beveled circle.