Watari ago (cogged cross joint) — dimension sheet
Source: Xem Studio, https://xemstudio.com/objects/watari-ago-cogged-joint/  (sheet CC BY 4.0; files Xem Studio Design License, https://xemstudio.com/license/)
Basis: Xem Studio design — geometry computed in the generator from traditional proportions
Catalog version: 2026-10-20

Overall (mm): length 80.0, width 80.0, height 35.0
- Woodworking joint drawn for 3D printing: the parts lock together by shape, so a print can be joined without glue or screws. Drawn at true size with the parts line to line (zero gap) in their assembled position — add your printer's fit allowance to the mating faces (your AI or slicer can do this).
- Beams crossing at different heights: a shallow notch and a cog lock them while keeping both beams nearly full strength.

dimension  value
stock  20 × 20 mm square
parts  lower beam, upper beam
notch  5 mm deep
cog  6 mm wide
assembles  the upper beam drops onto the lower
holds  both beams against sliding, without cutting either deeply

Files elsewhere (not hosted by Xem Studio; license as stated by the publisher):
- Xem Studio: Joinery design (geometry computed in the generator from traditional proportions) — web — Xem Studio design — https://xemstudio.com/

Free files (Xem Studio Design License, Xem Studio; STEP + STL, 3 parts): https://xemstudio.com/files/hardware/watari-ago-cogged-joint/index.json
API: https://xemstudio.com/api/geometry?object=watari-ago-cogged-joint