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Joes' drawings and notes of splitting the roof surface of the Golden Rhombus Parallelogram Roof. This method is similar to the Rhombicosidodecahedron Hip Rafters blog where the roof is cut into roof surface pieces, triangles, squares, pentagons, with the miter line of the roof  being  the sum of the jack rafter side cut angles at the peak  divided by 2. The hip rafters will be different widths, but for the parallelogram the hip rafters are centered on the hip rafter run line. This method also results in the width of the hip rafter backing length on the roof surface of the hip rafters being equal. Here's a drawing showing this method. There's a difference in the width of the hip rafters, but it's not much of a difference. There's 3 ways of mitering hip rafters and this method can be used on polyhedron's as well, where the plan angles are not equal, like the Rhombicosidodecahedron . 3 different ways of cutting the hip rafters head cuts on any roof surface. The nor

Rhombicosidodecahedron From Wikipedia, the free encyclopedia In geometry , the rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid , one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces . Archimedean solid From Wikipedia, the free encyclopedia In geometry , an Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices . They are distinct from the Platonic solids , which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids , whose regular polygonal faces do not meet in identical vertices. Rhombicosidodecahedron Vertex - Deck -- Ground Plan. Rhombicosidodecahedron Roof Slope Angles with hip rafter offset for roof plane alignment. Rhombicosidodecahedron Roof Surface Unfolded. Rhombicosidodecahedron Roof Surface Angles. Cut Square, Triangle & Pentagon piece

Treteaux Angles help file links. Trèteaux Angles -- Trestle Angles -- trèteau à devers Hip Rafters Rafters Rotated into the Roof Surface Plane R8-DP R9-DP D-DP R10-DP PSBm-DP PSBa-DP SR4Bm-DP SR4Ba-DP R11-DP P7m-DP P8m-DP P9m-DP P10m-DP P11m-DP P12m-DP P13a-DP P14a-DP P15a-DP P16a-DP P17a-DP P18a-DP P19a-DP P20a-DP P21a-DP P22a-DP P23a-DP P24a-DP Claw Lines For DP Hip Rafters Treteaux Angle Development R8-DP ...Tilted Hip Rafter Slope Angle on DP Side of Hip Rafter. R9-DP ...Horizontal Plane Rotation Angle for Tilted Hip Rafter on DP Line from Footprint to Hip Rafter Run Line.  D-DP ...Horizontal Plane Rotation Angle for Tilted Hip Rafter on DP Line from Eave Line to Hip Rafter Footprint. R10-DP ...Vertical Plane Rotation Angle from Plumb for Tilted Hip Rafter on DP Line . PSBm-DP ...Prism Footprint Saw Blade Bevel Angle Along side of Hip Rafter Rotated into the Roof Surface Plane at Foot Of Hip Rafter . PSBa-DP...Prism Footprint Saw Blade Bevel Angle Along side of Hip Rafter on DP Sid

Patrick Moore,  Le Canadien 'L'Ami du Trait', the first North and South American  Compagnon  Passant Charpentier.  , helped with the restoration of the Les Haras Strasbourg, horse stud farm in France, and shared some pictures of the restoration. The roof framing  design is intriguing with the rotated purlin plates and the purlin wind braces.  As I was going thru the pictures of the roof framing I decided to draw out some of the roof framing design to see if there was something that I didn't understand about the roof framing. It's an overlay roof  with the purlin rafters supporting the roof rafters. The roof design didn't present anything that I didn't understand geometrically, except for the horizontal joist with the notch for the purlin plates where the hip rafter is located. Patrick Moore's Historical Carpentry Website The first time I dimensioned the angle at this location I thought I had the wrong angular dimension. However, after using the trigonome

Miter & Saw Blade Bevel Angles For Hip Rafters with Equal Length Miter Lines This online calculator can be used for unequal pitched roofs, Platonic Solids, Archimedean Solids, Polyhedrons or Parallelogram Roofs. The main objective of the calculator is to find the bevel angles on the top edge of unbacked hip rafter that will produce equal length miter lines on the roof surface.  To calculate the equal length miter line on the roof surface the calculator needs 3 roof slope angles that are perpendicular to the eave/gutter line and 2 eave/deck angles. The bevel angles returned by the calculator are only for one side of the hip rafter. If the roof is an equal sloped roof then the bevel angle can be used on both sides of the hip rafter. However, the bevel angles can be different for hip rafter A and hip rafter B.  Link to the online calculator: Miter & Saw Blade Bevel Angles For Hip Rafters with Equal Length Miter Lines  Here's an example print out of the calculations returned fo

The Golden Rhombus Parallelogram Roof broken down into prisms for the unbacked shoulder of the hip rafters. We can miter the hip rafters several different ways, but the main objective is to miter the hip rafter so the lengths of the miter are the same length. Standard right angled prism for the Golden Rhombus Parallelogram Roof. The miter line is the common rafter slope run line, perpendicular to the eave line. If we used this miter line method then the  hip rafters would have to be different widths to have the lengths of the hip rafter miter lines be equal in length. Prism using the intersection of the hip rafters in plan view as the miter line. Using this miter line the lengths of the hip rafter miter lines are equal. Angles that are constant using either method: R1,DD,SS,P2,C5 and R5B being the most usable angle in the development of the prisms for the unbacked hip rafter.