| Preface | 7 |
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| Contents | 10 |
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| Abbreviations | 13 |
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| List of Figures | 14 |
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| List of Tables | 18 |
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| 1 Polytopic Projects | 19 |
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| 1.1 Polytopic Method | 19 |
| 1.1.1 Bricks and Levels | 19 |
| 1.1.2 Duality and Complementarity | 21 |
| 1.1.3 Closure | 23 |
| 1.1.4 Center and Rhythms | 26 |
| 1.1.5 Generic Models | 28 |
| 1.1.6 General Theories | 30 |
| 1.2 Polytopic Framework | 33 |
| 1.2.1 Unifying and Diversifying | 33 |
| 1.2.2 Advanced Polytopic Framework | 36 |
| References | 41 |
| 2 Integration and Separation | 45 |
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| 2.1 Tree Structure | 45 |
| 2.1.1 Rooted Trees | 45 |
| 2.1.2 Ordered Trees | 48 |
| 2.1.3 Organizational Trees | 50 |
| 2.1.4 Dual Graded Graphs for Rooted Trees | 52 |
| 2.1.5 Binary Trees and Hypercubes | 54 |
| 2.2 Polytopic Separations | 57 |
| 2.2.1 Rooted Tree Polytope | 57 |
| 2.2.2 Batch Distillation Polytope | 60 |
| 2.2.3 Pressure Swing Adsorption Polytope | 63 |
| 2.2.4 Simulated Moving Bed Polytope | 66 |
| References | 69 |
| 3 Structuring and Restructuring | 71 |
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| 3.1 Supramolecular Chemistry | 71 |
| 3.1.1 Supramolecular Polytope | 71 |
| 3.1.2 Higher Dimensions | 75 |
| 3.2 Quasi-species | 78 |
| 3.2.1 Hypercycles | 78 |
| 3.2.2 Quasi-species Polytope | 80 |
| 3.2.2.1 Sequence Space | 80 |
| 3.2.3 Doubling and Contracting | 82 |
| 3.3 Oriented Syntheses | 84 |
| References | 86 |
| 4 Forward and Backward | 88 |
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| 4.1 Mixing and Growths | 88 |
| 4.1.1 Mixing Processes | 88 |
| 4.1.2 Growth Diagrams | 92 |
| 4.2 Restricted Processes | 96 |
| 4.2.1 Diagonal Rectangulations | 96 |
| 4.2.2 Processes Intensification | 99 |
| 4.2.3 Fractal or Constructal | 103 |
| References | 105 |
| 5 Assimilation and Accommodation | 108 |
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| 5.1 Developmental Stages | 108 |
| 5.1.1 Cognitive Development | 108 |
| 5.1.2 Dynamic Skill Theory | 111 |
| 5.2 Cognitive Architectures | 115 |
| 5.2.1 Duality Features | 115 |
| 5.2.2 Polytopic Architecture | 118 |
| References | 125 |
| 6 Testing and Designing | 129 |
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| 6.1 Polytopic Designing | 129 |
| 6.1.1 Learning Cycle | 129 |
| 6.1.2 RDTE Polytope | 132 |
| 6.1.3 Pharmaceutical Polytope | 134 |
| 6.1.4 Model Driven Architecture | 139 |
| 6.2 Design Hermeneutics | 145 |
| 6.2.1 Hermeneutic Circle | 145 |
| 6.2.2 Hermeneutical Polytope | 147 |
| References | 151 |
| 7 Additive and Subtractive | 153 |
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| 7.1 Additive Manufacturing | 153 |
| 7.1.1 Additive Technologies | 153 |
| 7.1.2 Addition and Subtraction | 157 |
| 7.1.3 4D Printing | 160 |
| 7.2 Modular Reconfigurations | 163 |
| 7.2.1 Hexagonal Configurations | 163 |
| 7.2.2 High-Dimensional Configurations | 164 |
| References | 169 |
| 8 Prospection and Retrospection | 171 |
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| 8.1 Smart Enterprises | 171 |
| 8.1.1 Smart Factory | 171 |
| 8.1.2 Reference Architectures | 176 |
| 8.1.3 Generic Smart Grid Architecture Model | 177 |
| 8.1.4 Generic Industry 4.0 Toolbox | 186 |
| 8.2 Smart Technologies | 190 |
| 8.2.1 NBIC | 190 |
| 8.2.2 Leading Projects | 195 |
| 8.3 Smart Society | 196 |
| 8.3.1 Society 4.0 | 196 |
| 8.3.2 Society 5.0 | 199 |
| References | 202 |
| Advanced Polytopic Projects | 204 |
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| Appendix A: Dual Graded Graphs | 206 |
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| Appendix B: Hopf Algebras | 208 |
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| Index | 211 |