Development of the Pentahedron
extracted from the Peak of the Hip Rafter


Definition of the angles at the Peak of the Hip Rafter
Development of the Pentahedron extracted from the Hip Rafter Peak
Scaled Developments of the Pentahedron extracted from the Hip Rafter Peak

Development of the Irregular Tetrahedron
extracted from the Peak of the Hip Rafter


Definition of the angles at the Peak of the Hip Rafter
Development of the Irregular Tetrahedron extracted from the Hip Rafter Peak

Application of the Irregular Tetrahedron
extracted from the Peak of the Hip Rafter
... Plumb Header intersected by Hip Rafter


Main Slope = 12/12     Adjoining Slope = 12/12
Corner Angle measured between Eaves in Plan View = 140


Model of Nonagonal Footprint Pyramid

Model of Nonagonal Footprint Pyramid

Development of the Irregular Tetrahedron

Development of Irregular Tetrahedron

Development of the Header

Development of Plumb Header intersected by Hip Rafter

Hip Rafter intersects Plumb Header ... View of Upper Surfaces (Roof Planes)

Hip Rafter intersects Plumb Header ... View of Upper Surfaces (Roof Planes)

Hip Rafter intersects Plumb Header ... View of Side Faces (Plumb Planes)

Hip Rafter intersects Plumb Header ... ... View of Side Faces (Plumb Planes)

Theoretical Tetrahedron juxtaposed with
Hip Rafter intersects Plumb Header Models

Theoretical Tetrahedron juxtaposed with Hip Rafter intersects Plumb Header Models

Joe Bartok