Component definitions and canonical patterns
This section defines the atomic and composite components used in the cuhirholom atlas. A component is treated as a logical unit with a defined role in structural configurations. Atomic components represent minimal units that cannot be decomposed further within the atlas representation. Composite components aggregate atomic units according to formally stated composition rules. Each component entry includes a membership description, an interface contract that stipulates permitted inputs and outputs, and the classification of applicable constraint types. The aim is to create a consistent lexicon for schematic mapping. Descriptions focus on representational clarity and formal properties rather than operational interpretation. Readers are invited to use the definitions to map hypothetical arrangements and to compare alternative decompositions in a neutral analytical context.
Component schematic
Visual motifs emphasize modules and connectors rather than numeric displays.
Canonical component types
The atlas categorizes components into canonical types to support systematic comparison. Type categories include sources, sinks, aggregators, routers, and transform units. Source types are formal carriers of inflow roles; sinks formalize outflow termination and archival roles. Aggregators perform combinatory mapping of multiple inputs under defined composition rules. Routers enact conditional distribution across branches according to labeled predicates. Transform units apply structural operators that reassign resource labels or change form under well-specified mapping functions. Each type entry provides properties for internal state representation, idempotency expectations where relevant, and the classes of constraints that commonly apply. The classification is intentionally abstract and descriptive to allow consistent mapping of diverse hypothetical configurations into a common schema for analytical study.
Type summary
Summary of canonical roles and interface expectations for quick reference.
Interface contracts and transformation rules
Interface contracts formalize how components connect and what information or labels may transit boundaries. Contracts specify channel types, permitted label transformations, handshake conditions for synchronous interactions, and tolerance levels for asynchronous exchanges. Transformation rules are expressed as operators that map input label vectors to output label vectors, accompanied by domain restrictions and normalization procedures where necessary. The atlas records canonical operator classes such as additive partitioning, proportional redistribution, bounded clipping, and conditional reallocation in neutral representational terms. Emphasis is placed on clear semantics and reproducible notation so that scenario comparisons evaluate structural pattern differences rather than implementation details. All descriptions remain conceptual and descriptive to avoid prescriptive interpretation.
Operator classes
Formal operator categories and domain constraints for mapping composition.
Compositional examples and schematic notes
The atlas includes compositional sketches that show how components may be assembled to form patterns for comparative analysis. Example sketches include layered aggregation stacks, multiplex routers with conditional edges, and constrained pipelines with intermediate transform nodes. Each sketch is accompanied by a textual note that lists the component types, interface contracts, constraint classes, and the pathway operators used to transition between the states shown. The examples are schematic and omit implementation parameters. Their purpose is to highlight structural alternatives and to provide reproducible templates for theoretical exploration. Users should treat these sketches as referential constructs for mapping and comparing structural hypotheses rather than operational blueprints.
Study note
Components are framed for neutral study of structure and representation. They are not operational modules or ready-to-deploy units. Use the lexicon and templates to support comparative reasoning and formal discussion.