Stereotomic & Descriptive Geometry for Hip Rafter Bevel Angles

Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter

Tetrahedron - Tetrahedral Ground Plan

Roof Slope Angle 33.69007°

Eave Angle 60°

Stereotomic Geometry for Tetrahedral Hip Rafter Bevel Angles

Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter

Square Rectangular -  Pyramidal Ground Plan

Roof Slope Angle 50°

Eave Angle 90°

Stereotomic Geometry for Pyramidal Hip Rafter Bevel Angles

Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter

Pentagonal Ground Plan

Roof Slope Angle 40°

Eave Angle 108°

Stereotomic Geometry for Pentagonal Hip Rafter Bevel Angles

Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter

Hexagonal Ground Plan

Roof Slope Angle 40°

Eave Angle 120°

Stereotomic Geometry for Hexagonal Hip Rafter Bevel Angles

Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter

Octagonal Ground Plan

Roof Slope Angle 40°

Eave Angle 135°

Stereotomic Geometry for Octagonal Hip Rafter Bevel Angles

Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter

Trapezoidal Ground Plan With Three Different Roof Pitches

Roof Slope Angles 40° , 44.07884°, 59.72722°

Eave Angles 90°, 90°, 115° , 65°

Stereotomic Geometry for Trapezoidal Ground Plan With Three Different Roof Pitches

Tetrahedron Slice of Hip Rafter Head Cut
Miter Angle = Hip Rafter Slope Angle = 37.00039°
Saw Blade Bevel Angle = 63.90458°
Hip Rafter Side Cut Bevel Angle = 21.36377°

Tetrahedron Slice of Hip Rafter Head Cut

Miter Angle = Hip Rafter Slope Angle = 37.00039°

Saw Blade Bevel Angle = 26.09542°

Hip Rafter Side Cut Bevel Angle = 58.47947°

Treatise on Roof Framing Geometry for Hip Rafter Side Cut Bevel Angles