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CNC Machining Styrene to make small models

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This question is a software one - for any of the CNC operators out there!

I'm trying to make some scale models from styrene and having some difficulties joining the edges.

For 90 degree corners I'm engraving the fold lines with a 90 degree V point tool "almost through" and then folding along the line and using some poly cement to make the joint.

The problem is where I have a corner which isn't 90 degrees, ideally a 5 axis machine would be able to cut the exact angle on the edge of the sheets. I only have a 3 axis machine and wanted to find something in between a basic 2.5D solution and having to model each sheet in 3d and then machining the parts out with the requires angles on the sheet edges.

I hope this illustration helps to explain what I'm refering to:

The image shows the resultant gap when the sheet is bent to angles less that 90 degrees.

image1sr1.jpg


http://img152.imageshack.us/img152/3767/image1sr1.jpg
 
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