榫卯Chinese Joinery
Frame corner joints
方材闷榫角接合
fāngcái mènsǔn jiǎo jiēhé

Hidden Mitred Corner With a Loose Block (方材闷榫)

Loose-block mitre · 闷榫角接合

A mitred corner hides end grain, but a bare mitre has little to hold it.

One hidden way to strengthen it is a loose block set into both mitre faces.

Chinese
方材闷榫角接合 · fāngcái mènsǔn jiǎo jiēhé
Joins
Two square members at a right-angle corner
Found in
Frame corners where nothing should show
Signature parts
Two 45° faces · two sockets · loose block
Compare
Mitred frame tenon
Drag to rotate. Slide to take the joint apart, or press Assemble to watch it go together.

How it works

Two mitres

An article on Ming furniture joinery describes a hidden way to join straight members at a corner: both members are cut to a 45° face.

A loose block

A socket is cut into each mitre face and a rectangular block is set into both sockets and glued.

Other versions

Wang Shixiang’s drawings also show a hidden corner of square members where each member carries its own single tenon; the loose-block version shown here is one way to keep both members simple.

How it's made

  1. A corner
    Step 1

    A corner

    Two members meet at a corner.

  2. 45°
    Step 2

    45°

    Cut both to 45°.

  3. Sockets
    Step 3

    Sockets

    A socket in each mitre face.

  4. Block
    Step 4

    Block

    Make a rectangular block.

  5. Glue
    Step 5

    Glue

    Glue the block into both.

  6. Hidden
    Step 6

    Hidden

    Only a mitre line shows.

Variations

Single tenons

Each member carries its own single tenon (Wang’s drawing “各出单榫”).

Can you CNC this?

Possible, with design or setup changes

The 45° faces can be cut with the parts flat, but the sockets go into a sloping face, which may need a tilted fixture or the part clamped at 45°. A loose-tenon jointer may be easier than a 3-axis machine.

General note: a round cutter cannot leave a sharp inside corner, so every recess keeps the tool radius. Round the mating edges or add dogbone reliefs. Sloping faces, undercuts and curves may need special bits, extra setups or more axes.

Free STL downloads (one file per part)

  • Rail 横材 · fangcai-mensun-rail.stl
  • Loose block 长方木块 · fangcai-mensun-loose-block.stl
  • Post 竖材 · fangcai-mensun-post.stl

Proportions are illustrative, not measured dimensions. The files are unitless: scale them to suit and check fits and allowances before cutting. Each file is a closed (watertight) solid with its mortises and slots already cut, exported in its assembled position, ready to import into CAM or modelling software. Licence: CC BY 4.0 (credit: Chinese Joinery).

Questions

What is this joint?

A hidden mitre held by a loose block in both faces.

Is it glued?

Yes, the source says the block is glued.

Where is it used?

Corners where nothing should show.

Further reading
  1. 明式家具榫卯结构的科学性(二), 广东龙网
  2. 王世襄手绘榫卯结构 85 种 (list), 美篇
  3. Ganeshan et al., MiGumi: Making Tightly Coupled Integral Joints Millable (SIGGRAPH Asia 2025)
  4. Jochen Gros & Friedrich Sulzer (HfG Offenbach), 50 Digital Wood Joints