Clear explanation of the CNC mitering logic used in our exploded cutting templates. This page is intended for customers who want to understand exactly how the cut lines are generated.
In our exploded cutting templates, every panel has two types of edges:
Where these two different allowance types meet (at the corners of each exploded panel), a simple offset would often produce bad geometry for CNC cutting: inward hooks, long spikes, or incorrect seam lengths. These problems are invisible in normal viewing but can cause issues on the laser cutter.
At every hem ↔ seam transition we use a hybrid rule that combines mathematical precision with production safety:
We first calculate the true intersection point of the two offset lines. When this point is geometrically valid (reasonable distance and clearly outward), we use it. This gives the mathematically correct miter.
If the pure intersection would create a bad result (too far out, inward hook, or unstable), we fall back to the offset point calculated from the hem (outer perimeter) side. This guarantees:
In the small number of corners that sit between "clearly good" and "clearly bad", we apply a light weighted blend (80% toward the safe hem-side point). This produces smooth, professional transitions without visible steps or kinks.
At some hem/seam junctions you may notice a very small direction change. This is normal and expected behaviour when two different offset distances meet at approximately 90°.
These micro-transitions are not defects. They are the result of prioritising CNC safety and correct seam length over a perfect visual miter. Laser cutters handle these small direction changes without any problem.
If you see anything in a cutting template that looks unexpected, please send us the DXF file together with a screenshot. We are happy to review it and explain exactly why the geometry was generated that way.