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 I am deploying the triple mesh structure on to double curved surfaces - a sphere in this study.

Working with polyhedrons as a base for the pattern.  On future studies, I will  work on Platonic solids , specifically the Dodecahedron (pentagons); In this case I selected one of the  Archimedean solids, the truncated icosahedron (pentagons & hexagons) and its dual Pentakis dodecahedron.

Modularity and continuity is not achieveable in this form due to the mixed types of polygons. This may or may not be achieved in my next studies.

In this slide I am showing how the decision was been determined to set  the nurbs for the pattern. Center of Faces and Vertices are studied and according to their order of array the nurbs where built.

In this slide it shows all nurbs are in the center of faces.

In this slide it shows some nurbs are in the center of faces and others on vertices. Also notice the “concave” and “convex” nurbs that will later create the woven effect.

After all nurbs are set, the polyhedron use is expired.

See Triple Mesh Structure (1) and var sb_url_to_rate = “http://www.core.form-ula.com/2007/10/11/three-woven-stuctures/”; var sb_rated_title = “Triple Mesh Structure (1)”; try { var sb_rated_creation = new Date(Date.parse(’Thu, 11 Oct 2007 13:00:59 -0400′)); } catch (e) {}  Triple Mesh Structure (3) for more studies. var sb_url_to_rate = “http://www.core.form-ula.com/2007/10/17/triple-mesh-stucture-3/”; var sb_rated_title = “Triple Mesh Structure (3)”; try { var sb_rated_creation = new Date(Date.parse(’Wed, 17 Oct 2007 23:55:28 -0400′)); } catch (e) {}

This is how the nurbs are built to a connection node.  Use the polyhedron to locate the center of spheres.

A smaller sphere that will blend into the basic sphere using “union”, ” subtract” and “Fillet” commands in AutoCad.

Cross section showing the Convex and Concave nodes.

The next tep is to create “subtractors” to eleminate the excess skin of the sphere. Again use the polyhedron as your grid.  I used two types of “subtractors”; one to create a “star fish” with five arms, and one to create a “ceiling fan” with three arms.

“Star fish” subtractor.

“Ceiling fan” subtractor used to create these tri-stars.

The same subtractors were “intersected” to creat the nurb at the center of the pentagon . Notice the sharp edge as a result of intersecting two cylinders at an angle.

To avoid a sharp corner within the “star”, I used “fillet” to smoothen it.

Smooth transfere of joints is a sign of succesful modeling.

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