Create a gigantic map of formal sciences that are the language of patterns that may or may not be implemented in reality and natural sciences and applied sciences that are localizing and building these patterns in the physical universe. Here is an expanded gigantic map of the formal, natural, and applied sciences with additional topics: Formal Sciences (Language of Patterns) 1. Mathematics a. Algebra - Linear Algebra - Abstract Algebra - Universal Algebra b. Geometry - Euclidean Geometry - Non-Euclidean Geometry - Differential Geometry - Algebraic Geometry c. Topology - Algebraic Topology - Geometric Topology - Differential Topology d. Analysis - Real Analysis - Complex Analysis - Functional Analysis - Harmonic Analysis e. Number Theory - Analytic Number Theory - Algebraic Number Theory - Computational Number Theory f. Combinatorics - Enumerative Combinatorics - Analytic Combinatorics - Extremal Combinatorics g. Logic - Propositional Logic - First-Order Logic - Higher-Order Logic - Modal Logic h. Set Theory - Axiomatic Set Theory - Descriptive Set Theory i. Category Theory j. Graph Theory - Extremal Graph Theory - Spectral Graph Theory - Topological Graph Theory 2. Computer Science a. Theory of Computation - Automata Theory - Computability Theory - Computational Complexity Theory b. Algorithms & Data Structures - Graph Algorithms - Numerical Algorithms - Approximation Algorithms - Parallel Algorithms c. Programming Languages - Type Theory - Formal Semantics - Compiler Design d. Artificial Intelligence - Machine Learning - Natural Language Processing - Computer Vision - Robotics - Knowledge Representation e. Databases - Relational Databases - NoSQL Databases - Data Mining - Big Data Analytics f. Cryptography - Symmetric-Key Cryptography - Public-Key Cryptography - Cryptanalysis - Post-Quantum Cryptography g. Information Theory - Coding Theory - Data Compression - Channel Coding h. Software Engineering - Software Design Patterns - Agile Methodologies - Formal Methods 3. Linguistics & Semiotics a. Syntax - Generative Syntax - Dependency Grammar - Categorial Grammar b. Semantics - Formal Semantics - Lexical Semantics - Discourse Semantics c. Pragmatics - Speech Act Theory - Relevance Theory - Conversation Analysis d. Phonology - Segmental Phonology - Suprasegmental Phonology - Phonological Theory e. Morphology - Inflectional Morphology - Derivational Morphology - Morphological Typology 4. Game Theory & Decision Theory a. Cooperative Game Theory b. Non-Cooperative Game Theory c. Evolutionary Game Theory d. Behavioral Game Theory e. Multi-Criteria Decision Analysis f. Utility Theory 5. Statistics & Probability Theory a. Bayesian Statistics b. Frequentist Statistics c. Nonparametric Statistics d. Multivariate Analysis e. Stochastic Processes f. Measure-Theoretic Probability Theory 6. Systems Theory & Cybernetics a. Dynamical Systems Theory b. Control Theory c. Information Theory d. Complex Systems Theory Natural Sciences (Localizing Patterns in the Physical Universe) 1. Physics a. Classical Mechanics - Hamiltonian Mechanics - Lagrangian Mechanics - Celestial Mechanics - Fluid Dynamics b. Thermodynamics - Statistical Mechanics - Kinetic Theory - Non-Equilibrium Thermodynamics c. Electromagnetism - Electrostatics - Magnetostatics - Electrodynamics d. Relativity - Special Relativity - General Relativity e. Quantum Mechanics - Quantum Field Theory - Quantum Electrodynamics - Quantum Chromodynamics - Quantum Information Theory f. Particle Physics - Standard Model - Beyond Standard Model Physics - Hadron Physics - Neutrino Physics g. Astrophysics & Cosmology - Stellar Astrophysics - Galactic Astrophysics - Physical Cosmology - Observational Cosmology h. Condensed Matter Physics - Solid State Physics - Soft Condensed Matter Physics - Nanophysics - Superconductivity 2. Chemistry a. Physical Chemistry - Chemical Thermodynamics - Chemical Kinetics - Quantum Chemistry - Spectroscopy b. Organic Chemistry - Organic Synthesis - Natural Products Chemistry - Medicinal Chemistry - Polymer Chemistry c. Inorganic Chemistry - Main Group Chemistry - Transition Metal Chemistry - Organometallic Chemistry - Bioinorganic Chemistry d. Analytical Chemistry - Spectroscopic Methods - Electroanalytical Methods - Separation Science - Chemometrics e. Biochemistry - Enzymology - Metabolic Biochemistry - Structural Biology - Chemical Biology f. Materials Science - Polymers - Ceramics - Composites - Nanomaterials 3. Earth Sciences a. Geology - Mineralogy - Petrology - Stratigraphy - Structural Geology b. Meteorology - Physical Meteorology - Synoptic Meteorology - Mesoscale Meteorology - Climatology c. Oceanography - Physical Oceanography - Chemical Oceanography - Biological Oceanography - Geological Oceanography d. Geophysics - Seismology - Geodesy - Geomagnetism - Geodynamics e. Geochemistry - Isotope Geochemistry - Biogeochemistry - Cosmochemistry - Aqueous Geochemistry f. Atmospheric Science - Atmospheric Chemistry - Atmospheric Dynamics - Atmospheric Radiation - Aeronomy 4. Life Sciences a. Biology - Cell Biology - Cell Signaling - Cell Cycle - Organelles - Genetics - Population Genetics - Quantitative Genetics - Genomics - Epigenetics - Molecular Biology - DNA Replication - Transcription - Translation - Gene Regulation - Microbiology - Bacteriology - Virology - Mycology - Parasitology - Evolutionary Biology - Population Genetics - Phylogenetics - Evolutionary Developmental Biology - Molecular Evolution - Ecology - Population Ecology - Community Ecology - Ecosystem Ecology - Conservation Biology b. Botany - Plant Physiology - Plant Systematics - Paleobotany - Ethnobotany c. Zoology - Animal Physiology - Animal Behavior - Entomology - Herpetology - Ornithology - Mammalogy d. Anatomy & Physiology - Gross Anatomy - Histology - Embryology - Endocrinology e. Neuroscience - Cellular Neuroscience - Molecular Neuroscience - Cognitive Neuroscience - Behavioral Neuroscience f. Immunology - Innate Immunity - Adaptive Immunity - Immunogenetics - Immunopathology 5. Astronomy & Planetary Science a. Observational Astronomy b. Astrometry c. Celestial Mechanics d. Planetary Geology e. Astrobiology f. Archaeoastronomy Applied Sciences (Engineering Patterns in the Physical Universe) 1. Engineering a. Mechanical Engineering - Fluid Mechanics - Thermodynamics - Solid Mechanics - Control Systems b. Electrical Engineering - Microelectronics - Signal Processing - Power Systems - Telecommunications c. Civil Engineering - Structural Engineering - Geotechnical Engineering - Transportation Engineering - Water Resources Engineering d. Chemical Engineering - Process Design - Reaction Engineering - Transport Phenomena - Separation Processes e. Aerospace Engineering - Aerodynamics - Propulsion - Avionics - Structures f. Biomedical Engineering - Biomechanics - Biomaterials - Medical Imaging - Tissue Engineering g. Nuclear Engineering - Nuclear Reactor Physics - Nuclear Instrumentation - Radiation Protection - Nuclear Fusion h. Industrial Engineering - Operations Research - Quality Control - Ergonomics - Supply Chain Management i. Materials Engineering - Ceramics Engineering - Metallurgical Engineering - Polymer Engineering - Composite Materials 2. Computer Engineering & Information Technology a. Computer Architecture b. Embedded Systems c. Computer Networks d. Cybersecurity e. Data Science f. Cloud Computing 3. Agricultural Sciences & Agronomy a. Soil Science b. Crop Science c. Horticulture d. Animal Science e. Agricultural Economics f. Food Science & Technology 4. Architecture & Urban Planning a. Architectural Design b. Building Science c. Landscape Architecture d. Urban Design e. Transportation Planning f. Regional Planning 5. Medicine & Healthcare a. Clinical Medicine - Internal Medicine - Surgery - Pediatrics - Obstetrics & Gynecology b. Pharmacology & Pharmacy - Pharmacodynamics - Pharmacokinetics - Pharmacogenomics - Toxicology c. Nursing - Medical-Surgical Nursing - Pediatric Nursing - Psychiatric Nursing - Community Health Nursing d. Dentistry - Endodontics - Orthodontics - Periodontics - Prosthodontics e. Veterinary Medicine - Veterinary Pathology - Veterinary Surgery - Veterinary Pharmacology - Veterinary Epidemiology f. Public Health & Epidemiology - Biostatistics - Environmental Health - Health Policy - Social & Behavioral Sciences 6. Environmental Sciences & Sustainability a. Ecology b. Conservation Biology c. Environmental Chemistry d. Renewable Energy e. Waste Management f. Sustainable Development 7. Biotechnology & Genetic Engineering a. Bioprocess Engineering b. Bioinformatics c. Synthetic Biology d. Genetic Engineering e. Bioremediation f. Biomaterials 8. Nanotechnology a. Nanomaterials b. Nanoelectronics c. Nanomedicine d. Nanofabrication e. Nanocharacterization f. Molecular Nanotechnology 9. Robotics & Automation a. Robot Kinematics b. Robot Dynamics c. Robot Control d. Machine Vision e. Human-Robot Interaction f. Swarm Robotics This expanded map provides a more comprehensive view of the vast landscape of human knowledge, showcasing the intricate interconnections and diverse subfields within the formal, natural, and applied sciences. It underscores the fundamental role of the formal sciences in providing the abstract frameworks and tools for understanding and manipulating patterns, while the natural sciences focus on uncovering and describing these patterns in the physical universe. The applied sciences then build upon this foundation to create practical solutions and technologies that shape our world. Together, these three branches of science form a powerful engine for advancing our understanding of reality and improving the human condition.