Zome Primer

6 Trusses: Twenty-one Zone System

6  Trusses: Twenty-one Zone System

6.1  6 A Lines 15 C Lines

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Figure 6.60: Single 21-zone A cell

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Figure 6.61: 2 A cells

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Figure 6.62: 4 A cells

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Figure 6.63: 8 A cells

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Figure 6.64: Truss turning corner 8 A cells

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Figure 6.65: Truss turning corner 8 A cells - 4 B cells

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Figure 6.66: Truss forming arch* A cells middle sections B cells on sides

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Figure 6.67: *Truss forming arch Head on view

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Figure 6.68: Single 21 zone B cell

11 21-zone truss forming a cap over 5 six-zone diamonds

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Figure 6.69: 

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Figure 6.70: 

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Figure 6.71: 

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Figure 6.72: Six-zone truss covering the top half of triacontahedron

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Figure 6.73:  Pentagonal structure formed by truncating pent corner of triacontahedron. See structure in Figure 15.162

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Figure 6.74: 

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Figure 6.75: Rectangular truss - folded plate configuration

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Figure 6.76: Truss formed of obtuse cells.

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Figure 6.77: 

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Figure 6.78: Two views of a rectangular trussed roof.

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Figure 6.79: Triacontahedron—with interior icosadodecahedron for stiffening.

6.2  Triacontahedron

23Radius to acute angled corner = AT. Radius to obtuse angled corner = BT.

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Figure 6.80: Triacontahedron

25 An enneacontahedron within a triacontahedron. The six sided vertices of the enneacontahedron coincide with the three sided vertices of the triacontahedron.

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Figure 6.81: Enneacontahedron within a triacontahedron

27 Triacontahedron with edge = A fused with Triacontahedron with edge = AT1.

28 Short diagonals of large diamond faces appear as long diagonals of small diamond faces.

29 The acute angled vertex of a large triacontahedron is located at the center of a small triacontahedron.

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Figure 6.82: Enneacontahedron within a triacontahedron

31 Triacontahedron clustering carried from A to AT2.

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Figure 6.83: Triacontahedron