Polytope Projects

How do you know what works and what doesn't? This book contains case studies highlighting the power of polytope projects for complex problem solving. Any sort of combinational problem characterized by a large variety of possibly complex constructions and deconstructions based on simple building blocks can be studied in a similar way. Although the majority of case studies are related to chemistry, the method is general and equally applicable to other fields for engineering or science.

PrefaceAbbreviationsIntroductionDiversifying and Unifying Ways Categorification and Decategorification Polytope ProjectsReferencesMethods and ModelsDifferential PosetsDual Graded GraphsUpdown CategoriesCombinatorial SpeciesPolytopes and n-Levels SystemsDifferential ModelsReferencesSeparation and IntegrationBinary Rooted Trees for SeparationLifted Binary TreesRooted TreesReferencesCyclic and LinearCyclic SeparationsEvolvability for Linear vs. Cyclical SchemasReferencesCompositions and DecompositionsCompositionsPartitionsReferencesConstruction and DeconstructionCrystal GrowthSelf-Confi gurable Modular AutomataPacking and UnpackingReferencesStrong and Weak Molecular InteractionsMolecular and SupramolecularDynamic Combinatorial Libraries and TemplatingPolytopes for Supramolecular ChemistryG-quadruplexesSupramolecular TilingStereochemistry for Cyclic CompoundsReferencesSynthesis and Decomposition ReactionsEvolutionary BiotechnologyChemical Reaction NetworksChemical OrganizationReferencesData and Concepts AnalysisFormal Concept AnalysisNesting Line DiagramsReferencesDesign of Experiments and AnalysisDesign of Experiments and Hasse DiagramsPermutation Trees for Designs of ExperimentsSelf-Evolvability and PolytopesReferencesPremises and PerspectivesPremisesPerspectivesReferencesAppendix Informational EntropyReferencesIndex

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