Images of 3D Model
Irregular Roof Slopes intersect at Corner Angle greater than 90°
Minor Plan Angle exceeds 90°


Main Slope Angle = 40°     Minor Slope Angle = 20°
Corner Angle measured between Eaves in Plan View = 120°


Roof Lines and Angles ... Plan and Section Views

Roof Lines and Angles ... Plan and Section Views

3D Models of Roof

Plan View

3D Model of Roof ... Plan View

Oblique View showing Lengths and Angles on the surface of the Roof

3D Model of Roof ... Oblique View showing Angles on the surface of the Roof

Oblique View showing lines of Common Rafters

3D Model of Roof ... Oblique View showing lines of Common Rafters

Sketches of Tetrahedra extracted from Irregular Pentagonal Roof

Plan View of Pentagonal Roof with Section Views of Hip and Valley Rafters
Location of Tetrahedra on Pentagonal Roof
Tetrahedra extracted from Pentagonal Roof

Casio fx 7700 GB Graphing Calculator Program

Casio fx 7700 GB Graphing Calculator Program

Arccos or Vector Formulas used in the Casio Graphing Calculator Program

Arccos or Vector Formulas used in the Casio Graphing Calculator Program

Joe Bartok