Zome Primer

Preface
Contents
1 Zomes, Domes and Clusters
- 1.1 What Are Zomes?
- 1.2 What is the Difference Between a Zome and a Geodesic Dome?
2 Zonohedra
3 Regular Ways of Arranging Lines in Space
4 Clustering
- 4.1 Twenty-one Zone Structure
- 4.2 Twenty-one Zone Zome Clusters
5 Stretching a Zone
6 Trusses: Twenty-one Zone System
- 6.1 6 A Lines 15 C Lines
- 6.2 Triacontahedron
7 Critical Constants
8 Symmetries of a Regular Thirty-one Zone Star
9 Five-Fold Symmetry
- 9.1 Growth and Generations of Stars
10 Sections
11 The Divine Proportion
12 Coherence Proofs
- 12.1 Two Dimensions
- 12.2 Three Dimensions
13 Joints
14 The Stars of Other Systems
- 14.1 Octet Truss
- 14.2 The Mero Space Grid System
15 Hardware
List of Figures
List of Tables
Bibliography
Index

List of Figures

List of Figures

1.2 Zome, with person and child

1.3 Construction of a Zome structure

1.4 Scale model of a Zome structure

1.5 Construction of a Zome structure

1.6 Scale model of a Zome structure

1.7 Geodesic Dome—DEW line Radome, circa 1956

1.8 Geodesic Dome

2.9 Possible faces

2.10 Cube

2.11 Octagonal prism

2.12 Rhombic Dodecahedron

2.13 Truncated Octahedron

2.14 Truncated Cuboctahedron

2.15 Great rhombicosidodecahedron or Truncated icosidodecahedron

2.16 Seven-Zone Polar Zonohedron

2.17 Polar Zonahedron from CHH Franklin’s drawing

2.18 Zone ‘‘1’’ shaded

2.19 Rhombic Triconntahedron, labeled zones

2.20 Enneacontahedron, labeled

2.21 Singular Star, through vertices of cuboctahedron.

2.22 Associated zonohedron, truncated octahedron

2.23 Associated face plane

2.24 Section star

2.25 Rhombic Dodecahedron

2.26 Triacontahedron

2.27 Enneacontahedron

3.28 Cube

3.29 Tetrahedron

3.30 Octahedron

3.31 Rhombic Dodecahedron

3.32 Dodecahedron

3.33 Rhombic Triacontahedron

3.34 Icosahedron

3.35 Rhombic Enneacontahedron

4.36 Triacontahedron, 1

4.37 Triacontahedron, 2

4.38 triacontahedron, 3

4.39 triacontahedron, 4

4.40 triacontahedron, 5

4.41 triacontahedron, 5

4.42 Enneacontahedron with 2 triacontahedrons

4.43 Triacontahedra, 5

4.44 triacontahedra, 5

4.45 Two triacontahedra fused through skew hexagon.

4.46 Front view - same as above.

4.47 Same cluster as above - One zome has zone stretched past others.

4.48 Three triacontahedra fused, through skew hexagon.

4.49 Front view - same as above.

4.50 Fourth zome added - fused to two side zomes through skew hexagon - fused to front zome through vertical section.

4.51 Same as above. Notice the appearance of C and CT in the floor sections.

5.52 Six zone zome - half a triacontahedron

5.53 1 horizontal zone stretched to 2

5.54 same as above (top view)

5.55 2nd horizontal zone stretched to two top panels 2x2 (top view)

5.56 2 side zones stretched

5.57

Single 21-zone A cell

6.64 Truss turning corner 8 A cells

6.65 Truss turning corner 8 A cells - 4 B cells

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

6.67 *Truss forming arch Head on view

6.68 Single 21 zone B cell

6.69

Six-zone truss covering the top half of triacontahedron

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

6.74

Rectangular truss - folded plate configuration

6.76 Truss formed of obtuse cells.

6.77

Two views of a rectangular trussed roof.

6.79 Triacontahedron—with interior icosadodecahedron for stiffening.

6.80 Triacontahedron

6.81 Enneacontahedron within a triacontahedron

6.82 Enneacontahedron within a triacontahedron

6.83 Triacontahedron

7.86

Six-Zone Diamond

7.88 Golden Diamond

7.89 10 Zone Diamonds

7.90 Skinny Diamond

7.91 Maraldi Diamond

7.92 Triacontahedron

7.93 Enneacontahedron

8.94 Thirty-One Zone Star: Dodecahedron

8.95 Thirty-One Zone Star: Icosahedron

9.96

Five Fold Symmetry Examples

9.100 Square Patterns

9.101 Triangle Patterns

9.102 Pentagon Patterns

10.103 R Section Star

10.104 R Section Equators

10.105 One R Section Equator

10.106 Species of R Section Triangles and Their Subdivisions 1--6

10.107 Species of R Section Triangles and Their Subdivisions 7--12

10.108 S Section

10.109 S Section Equators

10.110 One S Section Equator

10.111 S Section Triangle

10.112 T Section

10.113 T Section Equators

10.114 One T Section Equator

10.115 T Section Triangles

10.116 V Section

10.117 V Section Equators

10.118 V Section Equator

10.119 V Section Equilateral Triangle

10.120 X Section

10.121 X Section Equators

10.122 One X Section Equator

10.123 X Section Rectangle

10.124 Y Section

10.125 Y Section Equators

10.126 One Y Section Equator

10.127 Y Section Rectangle

11.128 Divine Proportion

11.129 Square root of 2

11.130 7-Zone Star

11.131

13.137 Tetrahedron Vertices

13.138 Cube

13.139 Cube Vertices

13.140 Octahedron

13.141 Octahedron Vertices

13.142 Dodecahedron

13.143 Dodecahedron Vertices

13.144 Icosahedron

13.145 Icosahedron Vertices

14.146 Sharing

14.147 Trading

14.148 Dominating

14.149 Stacked Edges of a Triangle

14.150 Flanges of an icosahedron or dodecahedron

14.151 Interlocking rectangles forming a flange joint

14.152 Model of intersecting planes

14.153 Six interlocking disks

14.154 Vertices on a sphere

14.155 Star for octet truss

14.156 Truncated Octahedron

14.157 Star for MERO system

14.158 Truncated Cubooctahedron

15.159 Six Zone Joint Plan

15.160 Six Zone Joint

15.161 Section for 11 ⁄ 4’’ pipe

15.162 Framework for Robert Ford residence.

15.163 Zome Climber

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