Often times simplicity at the surface belies a complexity or rigor not immediately apparent - the Oblique Tenon Stool is one such instance of deceiving appearances. At a glance, there is nothing special regarding this unassuming piece. Upon closer investigation, the construction of the stool begins to reveal the carefully resolved connections which enable it’s novel yet intuitive assembly. In fact, the detailing of the joints is perhaps only possible with the capabilities of a 5-axis water-jet cutter. The intersection between each leg and the neighboring brace results in an oblique condition which is reconciled with a through-tenon joint. Five-axis cutting allows for an integral shoulder and a flush detail all from one single operation. Furthermore, the pin which ties the joint together (in this case a flat head cap screw) intersects adjacent parts at another oblique angle (limited by the maximum tilt of the water-jet head) and results in an elliptical (or conic-section) countersink - an operation that would be difficult if not impossible with traditional means. While this project references traditional joinery details, it builds on past knowledge by adapting the techniques specifically for contemporary fabrication methods.