task_geometry__graph_paper__right_angle_vertex_count

Contract

1. Domain: geometry
2. Scene id: graph_paper
3. Task id: task_geometry__graph_paper__right_angle_vertex_count
4. Supported query_id: single
5. Answer schema: integer
6. Annotation schema: point_set

Program Contract

• count_polygon_right_angle_vertices(target=single_polygon, output_role=count); scene=graph_paper; scope=single_lattice_polygon
• The scene renders one polygon on graph paper with 6 to 12 vertices.
• The answer is the number of polygon vertices where the two adjacent sides form a right angle.
• The supported answer range is 1 to 5.

Reasoning Operations

Families: counting, formula_evaluation

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 pixel points at every right-angle vertex.

Determinism

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