Roads to Higher Dimensional Polytopic Projects: Reference Architectures

High dimensional reference architectures presented here allows  confronting and prevailing over the growing complexity of polytopic  projects implementations.
Such projects should be envisaged giving  that conventional systems operations, equipments, methodologies or  organizations will reach their limits for self-evolvability in high  complexity conditions. Self-evolvable high complexity systems are based  on high dimensional polytopic reference architectures.
Polytope is  the general term of the sequence: point, line, polygon, polyhedron and  so on.The polytopic projects are targeting the artificiality, not only  for materials where it is well known and applied, but also for  biological, cognitive, intelligent and mathematical systems. The book  highlights the polytopic projects basic similarity despite the  noticeable difference as domains of application. The roads to follow and  the algebra of changing roads are emphasized.
The book is divided in  9 chapters. Chapter 1 introduces the Polytopic Roadmap to 4D and  beyond. The role for the dialogue of processes in duality of the  non-Aristotelian Logic of Contradiction and of Included Middle is  emphasized for different domains. Chapter 2 refers to chemical systems.  Supramolecular chemistry, metal organic frameworks, MOF, and reaction  networks, are the examples considered in the frame of polytopic  chemistry. Chapter 3 refers to biological systems. Biological dynamical  hierarchies and quasi-species are the considered case studies.  Technological and scientific projects targeting artificiality for cells  and viruses are considered. Chapter 4 refers to cognitive systems.  Developmental stages, formal and relational concepts analysis, and  neural coding are considered here. The roles of the 4D systems of  systems of systems and of conceptual 4D-cube are emphasized.  Artificiality for cognitive systems is the object of study.
Chapter 5  refers to mathematical systems. Modeling levels and the 4D digital  twins are discussed. Hopf monoids as tools for the study of combinations  and separations, dual graded graphs and V-models are informally  presented. Chapter 6 refers to application of formal concept analysis,  FCA, for high dimensional separations, nesting and drug delivery.  Chapter 7 refers to polytopic engineering systems as  multiscale transfer, distributors-collectors, cyclic operations, middle  vessel columns, mixing, assembly and designs. Equipments have been  characterized using Polytopic Roadmaps and classified by Periodic  Tables. Chapter 8 introduces polytopic industry, economy, society and  sustainability. Chapter 9 outlines new domains of interest as arts and  architecture, transdisciplinarity, complex systems and unity of sciences  and engineering.
Polytopic Roadmaps are proposed as Method for  experts from various fields to synthesize their thinking and  capabilities into new projects implementation to face and surpass high  complexity. A repetitive finding of this book is that self-evolvability  observed in physical systems is based on the same directed sequence of  reference architectures as the self-evolvability of concepts in our  mind. Continuing to develop the field of self-evolvable systems and  presenting the polytopic roadmaps for 4D and beyond advances in ever  growing complexity domains, the book will be useful to engineers,  researchers, entrepreneurs and students in different branches of  production, complex systems sciences and engineering, ecology and  applied mathematics.