task_geometry__graph_paper__polygon_convexity_count

Contract

1. Domain: geometry
2. Scene id: graph_paper
3. Task id: task_geometry__graph_paper__polygon_convexity_count
4. Supported query_id: convex_polygon_count, concave_polygon_count
5. Answer schema: integer
6. Annotation schema: bbox_set

Program Contract

• count_polygon_convexity_class(query_id={convex_polygon_count|concave_polygon_count}, target_class={convex|concave}, output_role=count); scene=graph_paper; scope=polygon_set
• Convex and concave polygons use integer graph-paper vertices and vary their side count from 5 to 7. Convex polygons are not required to be regular, and concave polygons use a visible inward notch.
• Count objects are placed using their actual graph-unit bounds so independent polygons do not overlap.

Reasoning Operations

Families: counting

Prompt Bundle

• Prompt text is loaded from geometry_graph_paper_v1.
• Prompt modes: answer_only and answer_and_annotation.

Annotation

The annotation is the unordered set of bounding boxes for every matching polygon.

Determinism

Generation is deterministic for a fixed seed, params, config, and prompt bundle version.