Images of 3D Model
Study of Mortise, Tenon or Housing Chamfer Cuts (Square Cuts)


Main Slope = 10/12     Adjoining Slope = 7/12
Corner Angle measured between Eaves in Plan View = 90°


Right Triangles and Tetrahedra modeling the 10/12 Side Angles

Slideshow ... Wireframe Sketch illustrating the Chamfer Cut (Square Cut) Angles
3D Model of Backing Angle (C5)
3D Model of Prow Roof Compound Angle (Saw Blade Bevel P5BV)
Development of Jack Rafter Chamfer Cut along Plumb Line
Geometry of Jack Rafter Chamfer Cut along Plumb Line
Development of Jack Purlin Chamfer Cut along line of Angle 90° ± R2
Geometry of Jack Purlin Chamfer Cut along line of Angle 90° ± R2

Development of Triangles and Tetrahedra modeling the Angles created by the Chamfer Cuts (Square Cuts)
Lines and Angles in Plan View
Lines and Angles created on the surface of the Roof
Lines and Angles created on the Triangle modeling the Hip Slope Angle (R1)
Plumb Backing Angle (A7) created by Square Cut for Jack Rafter Housing along the Plumb Line (Rise)
Backing Angle (C5) created by Cross Section through the Hip Roof
Angle 90° – Q1 created by Square Cut for Jack Purlin Housing along the Line of 90° ± R2

Joe Bartok