Geodesic Frameworks
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Ligno3D Designer (L3DD) is very good for designing geodesic domes like Andy's dome shown opposite.  The framework members here are made in two halves that are joined along their lengths.  L3DD generates 'split frameworks' from almost any polyhedron (e.g., SoccerHead).  The outer framework faces parallel the faces of the polyhedron.  This type of frame can be sheathed in panel material such as construction plywood.  Indeed, the triangular panels can be framed before they are bolted together, thus making a marvellous prefabricated portable structure.  With L3DD the structure need not be hemispherical.  It can be taller, squatter, or even ellipsoidal.

L3DD's 'Create Frame' command can now make both split and rectangular frameworks.  The latter option converts convex polyhedrons into frameworks made of members with rectangular cross-sections, with the width and depth of members specified.  Such a framework can be easily built from standard timber sizes (eg. 4" x 2"), using just a protractor, pencil, steel tape and handyman's cut-off saw.

Rectangular frameworks are organised so that the outer faces of the frame parallel the chamfered edges of the original polyhedron.  For example, a framework created from a cube has the outer framework faces oriented at 45 degrees to the cube faces - as illustrated on the right.  Such a frame could be covered with canvas or vinyl sheeting.  Alternatively, angled grooves could be machined to house thicker face panels.

To obtain angles for cutting the frame joints, only the outer faces of the framework should be drawn in the 3D and Plan Views.  To achieve this, enter a frame depth of zero.  'Origin-centric' angles must be specified in the Plan Setup dialog box, as half-interfacial angles may not do the job.  With origin-centric angles, the planes of the V-shaped end cuts, when extended, all pass through the origin.  Perfect joints can be made by accurately reproducing these solid angles in the timber.



 

As shown on the right, L3DD now generates very precise rectangular frame members that fit together perfectly at the joints.  They do not interpenetrate (version 3.51 on).  When printing plans, however, follow the zero-frame-depth advice given above.  When all faces are selected, the plans become very messy, with eight faces per frame member.  All frame members are assigned unique component IDs.

See also Designing Geodesic Domes and Workshop.

L3DD-designed model dome by Andy Martinez, Florida, USA.  He has now made a big hurricane-proof one!

L3DD V3.40 orients the frame's outer faces parallel to the 'chamfered' edges of the original polyhedron.

 

Icosahedral rectangular frame with one member moved. 

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  © Ligno3D Systems Making the impossible easy.           Updated 05 Dec 2007