Dance figure¶
A named multi-step movement pattern, larger than a step and smaller than a complete phrase or dance, that coordinates dancers through space.
Core Idea¶
A dance tradition defines figures through paths, formations, holds, orientations, timing, and role exchanges that participants can recall from a shared vocabulary or execute from a caller’s cue. Grouping steps into named spatial modules lets communities teach, combine, call, and vary dances while preserving recognizable formation-level structure. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.
The load-bearing residual is not the broad topic of dance notation. It is the domain-specific identity determined by the movement has a conventional name and reproducible path, timing, formation, and participant-role pattern within the declared dance tradition.
Scope of Application¶
Dance figure belongs to dance notation and is useful where the analyst can specify the typed dance notation carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate the movement has a conventional name and reproducible path, timing, formation, and participant-role pattern within the declared dance tradition. The scope is broad within that domain but bounded by the need for the movement has a conventional name and reproducible path, timing, formation, and participant-role pattern within the declared dance tradition. The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
Clarity¶
The abstraction clarifies a crowded vocabulary by making the movement has a conventional name and reproducible path, timing, formation, and participant-role pattern within the declared dance tradition the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test. A bare label is insufficient because the name Dance figure can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.
Manages Complexity¶
Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to Dance figure. Dance figure compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.
Abstract Reasoning¶
- Identify the carrier. State what the elements, states, objects, or observations are: the typed dance notation carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2. Lock the constitutive rule. Express the movement has a conventional name and reproducible path, timing, formation, and participant-role pattern within the declared dance tradition independently of one notation or implementation.
Knowledge Transfer¶
Knowledge transfers strongly among subfields of dance notation because they reuse the typed dance notation carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, Grouping steps into named spatial modules lets communities teach, combine, call, and vary dances while preserving recognizable formation-level structure., and type the carrier, state every parameter and convention in the definition, test that the movement has a conventional name and reproducible path, timing, formation, and participant-role pattern within the declared dance tradition, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.
Relationships to Other Abstractions¶
Current abstraction Dance figure Domain-specific
Parents (1) — more general patterns this builds on
-
Dance figure is a kind of Sequencing Prime
The proposed strict upward parent is
prime:sequencing.
Hierarchy paths (3) — routes to 3 parentless roots
- Dance figure → Sequencing → Optimization
- Dance figure → Sequencing → Dependency
- Dance figure → Sequencing → Time
Neighborhood in Abstraction Space¶
Dance figure sits in a moderately populated region (45th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.
Family — Unclustered & Miscellaneous (1565 abstractions)
Nearest neighbors
- Triple step — 0.95
- Minuet — 0.90
- Cell (music) — 0.89
- Canter rhythm — 0.88
- Sign (mathematics) — 0.88
Computed from structural-signature embeddings · 2026-09-08