25 articles on deterministic geometry, CNC programming concepts, and the future of shop-floor machining — written for machinists, setters, and engineers.
Why the same inputs must always produce the same outputs — and why this matters more in CNC than anywhere else.
Two fundamentally different approaches to computing geometry — and why the choice matters for CNC.
What closed-form means in mathematics and why it is the correct foundation for CNC geometry.
What tangency means geometrically, how it is computed analytically, and why it matters for CNC profiles.
How the intersection of two circles is computed analytically using the radical axis method.
Why many geometry operations have two valid solutions — and why explicit selectors are the correct response.
The seven documented failure modes of constraint-based CAD systems in CNC machining workflows.
Detailed technical analysis of each failure mode with root causes, examples, and analytic solutions.
Why XyzPilot distinguishes between construction geometry and product geometry.
The physical consequences of geometric approximation in CNC machining.
The history and principles of Automatically Programmed Tool language — the foundation of precision CNC.
The role of the CNC setter in manufacturing — what they do, what skills they need, and how the role is changing.
The complete workflow from reading an engineering drawing to generating a verified CNC machining program.
How CNC toolpaths are generated from 2D geometry — the connection between geometry and cutting tool movement.
The language of CNC machine control — G0, G1, G2, G3, G41, G42, G81 explained.
G41, G42, and G40 explained — how cutter compensation works and why it matters.
How bolt-hole patterns are defined, programmed, and machined — from PCD to drill cycle G-code.
The difference between fillets and chamfers, when to use each, and how they are programmed.
PCD explained for CNC machining — how to read it from a drawing and calculate hole positions.
How artificial intelligence is changing CNC programming — natural language to exact geometry operations.
Why browser-based CNC programming software is the right architecture for shop-floor use.
How XyzPilot's structured training pathway takes a new setter from zero to independent programming in weeks.
Where CNC programming is heading — deterministic geometry, AI assistance, browser-based access.