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The intersection object creates a shape containing only those areas where all components overlap. A point is part an intersection if it is inside both objects, A and B, as show in the figure below.

The intersection of two objects.
The syntax is:
intersection { SOLID_OBJECTS... [OBJECT_MODIFIERS...] }
The component objects must have well defined inside/outside properties. Patch objects are not allowed. Note that if all components do not overlap, the intersection object disappears.
Here is an example that overlaps:
intersection {
box { <-1.5, -1, -1>, <0.5, 1, 1> }
cylinder { <0.5, 0, -1>, <0.5, 0, 1>, 1 }
}
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