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Can a 2-D Cross Section of a 3-D Graphic be generated?

I'd like to have a Manipulate that shows a cross-section of a 3D Graphic, with the position of the cross section determined by the Manipulate controls. It seems to me this should be possible with the new graphics functionality in version 10.

POSTED BY: Frank Kampas
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this might be useful:

Cheers, Marco

POSTED BY: Marco Thiel

Turns out taking a cross-section of a Ball centered at {x,y,z} with radius r onto the plane z = zz can be done with a rule:

Ball[{x, y, z}, r] -> Ball[{x, y}, Sqrt[Max[r^2 - (zz - z)^2, 0]]

POSTED BY: Frank Kampas
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