Studio Matrx Monthly · Volume 1 · Issue 3 · August 2026
Amogh N P
 In loving memory of Amogh N P — Architect · Designer · Visionary 
CNC Milling FundamentalsLesson 3.1
DFR for Architecture, Planning & Urban Design/Module 3 · CNC Milling & Routing

Lesson 3.1 · CNC Milling & Routing

CNC Milling Fundamentals

The 3-axis mill and router, the bits that cut, and how to hold the work

12 min Interactive lessonFree · open lessonByAmogh N P· Architect & interior designer
The hook

A CNC mill does one simple thing very precisely: it spins a sharp bit and moves it through material along three axes, removing everything that is not your part.

Where a laser cuts a flat sheet with light, a CNC mill or router carves in three dimensions with a spinning cutting tool. The same file-to-factory chain drives it - CAD to CAM to G-code to machine - but now the tool has depth. It can pocket, profile, engrave, and rough out a solid form, not just slice a silhouette.

Two machines share this idea and get confused constantly: the router and the mill. One is a fast, light gantry built for wood and plastic sheets; the other is a heavy, rigid machine built to take metal. Learn the shared logic first - axes, spindle, bits, workholding - and the difference between the two stops being mysterious and becomes a choice you make on purpose.

Spinning bit + three axes + fixed stock. Router for sheets, mill for metal.

The machine and its three axes

Strip a CNC mill or router down to its logic and you have four things: a spindle that spins a cutting bit at high speed, a way to move that spindle in three axes, a bed that holds the stock still, and a controller reading G-code. The three axes are the whole game. X and Y move the tool across the flat plane of the bed - left-right and front-back - while Z drives it up and down, controlling how deep the bit plunges. Give a controller a stream of X, Y and Z coordinates and it can trace any path through a block.

On a typical hobby or studio CNC router, a gantry bridges the bed and slides along it (that is one axis), a carriage rides across the gantry (a second), and the spindle raises and lowers on the carriage (the third). The stock is clamped to the bed and never moves. That is what 3-axis means: three independent, straight-line movements combined. It is enough to cut any shape you can reach by coming straight down from above - which is most flat and gently-curved work, and the reason 3-axis machines do the overwhelming majority of real jobs. The limit, which the next lesson attacks, is that the tool can only ever approach from one direction.

3-AXIS CNC MILL / ROUTER gantry (moves in X) bed / spoilboard stock (fixed) spindle X Z Y 3 axes: X, Y, Z BIT SHAPES flat end mill rounded ball nose point V-bit flat floors,slots, pockets smooth 3Dcurved surfaces V-carving,chamfers, text The bit spins; the gantry positions it. The stock never moves.
Zoom
A 3-axis CNC mill or router: a gantry moves the spinning bit in X and Y across the bed while the spindle drops in Z into the fixed stock. Below, the three workhorse bits - flat end mill, ball nose, V-bit - each leave a different cut.

X and Y across the bed, Z up and down. Three straight moves, combined, trace any reachable path.

The spindle and its bits

The bit - the end mill or router bit - is where design meets material, and its geometry shapes the cut. A bit spins at thousands of RPM and cuts on its flutes, the helical cutting edges up its side; the number of flutes (one, two, three or more) affects how fast it clears chips. Three shapes cover most architectural work. A flat end mill has a flat bottom and straight sides: it cuts flat floors, crisp vertical walls, slots and pockets - the everyday workhorse. A ball-nose bit has a hemispherical tip; because it has no sharp bottom corner, it blends smoothly across curved 3D surfaces, so it is the finishing tool for sculpted forms, moulds and terrain models. A V-bit comes to a point at a set angle (60 or 90 degrees are common): drop it shallow for fine engraved lines and lettering, deeper for chamfered edges and sharp V-grooves, a technique called V-carving.

Bits also matter for material. Cutting aluminium wants a specific geometry and coating; cutting plywood wants an aggressive chip-clearing flute; cutting acrylic wants a single-flute bit run so it shears cleanly instead of melting. Diameter matters too: a fat 12 mm bit hogs material fast but cannot cut a tight internal corner, while a slender 3 mm bit reaches fine detail but is fragile and slow. Most real jobs use two or three bits in sequence - a big one to rough, a small one to finish.

ROUTER vs MILL CNC ROUTER wide, flat, light bed high RPM, fast feed big sheet, low rigidity plywood, MDF, acrylic, foam, soft aluminium CNC MILL heavy, rigid, small bed lower RPM, high torque massive frame, rigid steel, aluminium, brass, tough plastics Rule of thumb: sheet goods and wood on a router; metal on a mill.
Zoom
Router versus mill. A CNC router is fast, light and built for large sheet goods - plywood, MDF, acrylic, foam. A CNC mill is heavy, rigid and slow, built to take metal. Same file logic; different rigidity, speed and material reach.

Flat = floors and pockets. Ball = smooth 3D. V = engraving and chamfers.

Sheet work, block work and 2.5D

There are two broad kinds of job on a 3-axis machine, and knowing which you are doing changes how you set up. Sheet work takes a flat panel - a full 4x8-foot sheet of plywood or MDF - and cuts through it to produce flat parts: profiles, pockets, engraving, and the outlines of components. Because a sheet is cheap and large, you nest many parts efficiently onto one sheet (the same nesting idea from laser cutting) to minimise waste, and you cut into a spoilboard so the tool can pass fully through. Most architectural and interiors CNC work is sheet work: cabinet parts, screens, ribs for a curved form, sign faces.

Block work starts from a thick solid - foam, tooling board, timber, wax, metal - and carves a three-dimensional form into it, removing material in depth. This is how you make a sculpted model, a mould, or a solid shaped component. Between these sits a useful middle category that CAM calls 2.5D: work that is fully three-dimensional in plan but where every feature has a flat floor at some constant depth - pockets, steps, engraving, profile cuts. 2.5D covers a surprising amount of real work and is far simpler to program and cut than true 3D surfacing, where the tool continuously varies its Z to follow a curved surface (think a topographic terrain model or a sculpted panel, finished with a ball nose). A practical instinct worth building: ask whether a design really needs full 3D carving, or whether it can be re-expressed as 2.5D pockets and profiles, or as flat sheet parts slotted together - both are quicker, cheaper and more forgiving to make.

Sheet work = cut through a panel, nest to save material. Block work = carve a solid. 2.5D = flat floors at set depths.

Router or mill: which machine, which material

The words are used loosely, but the distinction is real and worth getting right. A CNC router is a large, relatively light gantry machine built for speed over a big flat area. It spins fast (often 18,000-24,000 RPM) and moves quickly across full sheets, and it lives on sheet goods and soft materials: plywood, MDF, solid timber, acrylic, foam, composites, and - carefully, slowly - soft aluminium. It is the machine most architecture and interiors work touches, because so much of what we make starts as a 4x8-foot sheet.

A CNC mill (or machining centre) is the opposite trade-off: a heavy, extremely rigid machine with a smaller bed, lower spindle speeds but far more torque, and the mass to resist the forces of cutting metal - steel, aluminium, brass, tough engineering plastics. Rigidity is everything when you cut metal, because any flex ruins accuracy and shatters tools. A rough rule serves well: sheet goods and wood on a router; metal on a mill. The confusion arises because a beefy router can nibble aluminium and a small mill can cut wood, so the categories overlap at the edges - but the design intent of each machine, and therefore the material each is happiest with, is distinct. Sheet work (nesting flat parts out of a panel) suits the router; block work (carving a solid) can be either, depending on the material.

Holding the work, and clearing the dust

A spinning bit pushes hard on the stock, so workholding is not an afterthought - a part that shifts mid-cut is ruined and dangerous. Sheet work on a router is usually screwed or clamped down onto a sacrificial spoilboard (a flat board the bit is allowed to score as it cuts fully through the part), or held by a vacuum table that sucks the sheet flat. Small or awkward parts get clamped, double-sided taped, or held by leaving tabs - tiny uncut bridges that keep a part attached to the sheet until you cut them free by hand. Block work on a mill is gripped in a vice or bolted to the bed. The principle is constant: hold the work rigidly, and keep clamps and screws out of the toolpath so the bit never hits them.

Subtractive machining also makes a mess, and that mess matters. Milling wood and MDF throws fine dust that is a genuine respiratory hazard and a fire and static risk; cutting metal throws hot chips. A router therefore runs with dust extraction - a shoe around the bit connected to a vacuum - and metal cutting often uses coolant or air blast to clear chips and carry away heat. And these machines are unforgiving: a bit spinning at 20,000 RPM will not distinguish material from a finger or loose sleeve. Eye protection, hearing protection, tied-back hair, no gloves near the spindle, guards in place, and proper training and supervision are not optional. Treat every CNC machine as capable of serious harm, because it is.

Hold it rigid, keep clamps off the toolpath, extract the dust, respect the spindle.

Machines & terms in this lesson

CNC router

Light, fast gantry machine for sheet goods

The workhorse of architecture and interiors fabrication - plywood, MDF, acrylic, foam. High RPM, big bed, lower rigidity.

CNC mill

Heavy, rigid 3-axis machine for cutting metal

Built to resist cutting forces on steel and aluminium without flexing. Smaller bed, lower speed, high torque.

End mill / ball nose / V-bit

The three workhorse cutter shapes

Flat floors and pockets / smooth 3D curved surfaces / engraving, lettering and chamfers respectively.

Spoilboard & tabs

Workholding for through-cutting sheets

A sacrificial board the bit cuts into; tabs are tiny uncut bridges holding a part in the sheet until you free it by hand.

Hands-on workshop

Workshop — plan a cuttable part before you cut it

The best CNC habit is planning the cut on paper before touching the machine. This exercise builds that eye using nothing but a sketch, and it maps directly onto what CAM software will ask you.

Paper and pencil to plan; a CNC router in a fablab or makerspace with supervision to actually cut. Never run a spindle untrained or unsupervised.

Given & goal
Goal: turn a design into a machine-ready cutting plan
Inputs: a simple part idea (a shelf bracket, a name sign, a small tray) + paper
Time: ~30 minutes
  1. 1Sketch your part flat, at size, on a rectangle representing your stock sheet. Note the material and thickness (e.g. 18 mm plywood).
  2. 2For every feature, choose a bit: flat end mill for pockets and profiles, ball nose for any smooth 3D curve, V-bit for engraved lines or chamfers. Label each on the sketch.
  3. 3Mark the workholding: where do screws or clamps go so they are OUTSIDE every toolpath? Add tabs where a part would otherwise come loose and fly once cut through.
  4. 4Decide the order of operations: rough with a big bit, engrave, then profile-cut the outline last so the part stays anchored as long as possible. Number the steps.
  5. 5Check reachability: can each feature be cut coming straight DOWN from above with a 3-axis machine? Circle anything that would need an undercut - that is a 5-axis problem (next lesson).

You’ll walk away with
An annotated cutting plan: material and thickness, a labelled bit for every feature, workholding and tab positions, a numbered order of operations, and any undercuts flagged. This is exactly the thinking CAM expects.

The worked example

Three altitudes on the same idea

Read the band that fits you — or all three.

For the architectFrom design to made object

The CNC router is the machine your practice will meet first at scale. Panelised facades, perforated screens, formwork, curved wall linings, site models and one-off components all come off a router cutting sheet goods. Understanding axes, bits and workholding lets you design parts that are actually cuttable - reachable from above, tabbed to hold, tolerant of the bit radius - and specify them to a fabricator with credibility.

For the interior designerBespoke fabrication, furniture & detail

This is how bespoke joinery and decorative panels get made. A CNC router turns a drawing of a reception desk, a fluted wall panel, a carved screen or a shaped shelf into cut parts, in materials from ply and MDF to acrylic and solid oak. Knowing flat versus ball versus V-bit lets you predict the finish - crisp pockets, smooth curves, or engraved detail - before anything is cut.

For the studentMaking skills, portfolio & jobs

The router is probably the most useful machine in your fablab after the laser. Master its three axes, its bits and its workholding and you can make furniture, models, moulds and components that read as genuinely fabricated, not printed. Start on scrap, learn to hear a good cut, and treat safety as a habit from day one - employers notice a student who is confident and careful around a spindle.

Misconception check

A CNC router and a CNC mill are basically the same machine with different names.

They share the 3-axis, spinning-bit logic, but they are engineered for opposite jobs and it matters. A router is light, fast and built to sweep across big sheets of wood and plastic; a mill is heavy, rigid and slow, built to resist the forces of cutting metal without flexing. Put steel on a typical router and it will chatter, lose accuracy and destroy tools; put a full plywood sheet on most mills and it will not fit. The overlap at the edges (a strong router nibbling aluminium, a small mill cutting wood) is what feeds the confusion, but choosing the wrong machine for the material is a real and costly mistake. Match the machine to the material: sheet goods and wood on a router, metal on a mill.
Try it

Do it yourself

No machine needed - reason it through.

  1. 1Name the three axes of a 3-axis CNC and what each one moves.
  2. 2Which bit would you pick for a flat-bottomed pocket, and which for a smoothly curved surface?
  3. 3State the rule-of-thumb difference between a CNC router and a CNC mill.
  4. 4What is a spoilboard, and why do you leave tabs on a part?
  5. 5Give two safety measures you would take before running a router that cuts MDF.
Take this with you

The one line to carry out

A CNC mill or router spins a bit and moves it in three axes through fixed stock - flat, ball and V-bits shape the cut, workholding keeps the part rigid, and the router-versus-mill split is really a material choice. Get the machine and the bit right and 3-axis work covers most of what architecture makes.
Take it further
References & further reading

Peer-reviewed journals & authoritative standards

  1. 01CNC routerWikipedia, 2026.
  2. 02Milling (machining)Wikipedia, 2026.
  3. 03Numerical control (CNC)Wikipedia, 2026.
  4. 04The Fab Foundation — the global Fab Lab networkFab Foundation, 2026.
Related lessons
Recap
A 3-axis CNC moves a spinning bit in X, Y and Z through stock held still on the bed. Flat end mills cut floors and pockets, ball noses finish curves, V-bits engrave and chamfer. Routers are fast, light and made for sheet goods and wood; mills are heavy, rigid and made for metal. Workholding must be rigid and clear of the toolpath, and dust and spindle safety are non-negotiable.
Carry forward →

A 3-axis tool can only ever come straight down from above, so it cannot reach beneath an overhang. The next lesson adds axes - 4 and 5 - so the tool can tilt in and machine undercuts and flowing surfaces.

A

The author

Amogh N P

Architect, interior designer, and creative polymath. Studio Matrx began in his notebooks — his vision of design made honest, useful, and open to everyone. Its Academy is written and taught in his memory, and free, forever.

More about Amogh →