Contents Preface1 Zomes, Domes and Clusters1.1 What Are Zomes?1.2 What is the Difference Between a Zome and a Geodesic Dome?2 Zonohedra2.1 What are Zonohedra?2.2 Face Planes of Zonohedra2.3 Section Stars and Face Planes2.4 Division of Zonohedra into Parallepiped Cells3 Regular Ways of Arranging Lines in Space3.1 Three Zones3.2 Four Zones3.3 Six Zones3.4 Ten Zones4 Clustering4.1 Twenty-one Zone Structure4.2 Twenty-one Zone Zome Clusters5 Stretching a Zone6 Trusses: Twenty-one Zone System6.1 6 A Lines 15 C Lines6.2 Triacontahedron7 Critical Constants7.1 Six Zone7.2 Ten Zone7.3 Ten Zone7.4 The Appearance of the CTn Series in the Dimensions of the Triacontahedron and the Enneacontahedron8 Symmetries of a Regular Thirty-one Zone Star9 Five-Fold Symmetry9.1 Growth and Generations of Stars10 Sections10.1 R Section10.2 S Section10.3 T Section10.4 V Section10.5 X Section10.6 Y Section10.7 The Formation of Triangles10.8 A Star Problem11 The Divine Proportion11.1 Tau Power Series11.2 Pattern and Rules11.3 The Fibonacci Numbers12 Coherence Proofs12.1 Two Dimensions12.1.1 Definition 112.1.2 Definition 212.1.3 Definition 312.1.4 Definition 412.1.5 Definition 512.1.6 Definition 612.2 Three Dimensions12.2.1 Definition 112.2.2 Definition 212.2.3 Definition 312.2.4 Definition 412.2.5 Definition 512.2.6 Definition 612.2.7 Definition 712.2.8 Definition 812.2.9 Definition 913 Joints14 The Stars of Other Systems14.1 Octet Truss14.2 The Mero Space Grid System15 Hardware List of Figures List of TablesReferences Index