task_geometry__paper_fold__paper_fold_angle_value

Contract

1. Domain: geometry
2. Scene id: paper_fold
3. Task id: task_geometry__paper_fold__paper_fold_angle_value
4. Query id: single
5. Answer schema: number
6. Answer precision: one_decimal
7. Annotation schema: bbox_map

Program Contract

• solve_formula(visible_paper_fold_angle_labels, unknown_role=half_angle_x, formula_schema=fold_bisector_with_straight_angle, output=angle_degrees_1dp); scene=paper_fold; scope=paper_fold_angle_value

Reasoning Operations

Families: transformation, formula_evaluation

Prompt Bundle

• Prompt text is loaded from the scene prompt bundle configured for paper_fold.
• Prompt modes: answer_only and answer_and_annotation.

Annotation

Prompt-facing annotation uses pixel-space witnesses only. The task returns a bbox_map with keys:

• target_angle_cue: the visible box around the equal marked angle cues x.
• given_angle_label: the visible box around the given angle label adjacent to the folded edge.

Graph coordinates, formulas, labels, and construction metadata remain private verifier metadata unless they are themselves visual witnesses.

Sampling

The generator samples a rounded angle answer uniformly from a broad finite support, then selects a valid folded-corner construction for that answer. The visible numeric angle is the straight-line supplement to the two equal fold angles, so the target is (180 - shown_angle) / 2. This avoids over-representing common height/offset ratios that collapse to the same rounded angle.

Determinism

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

Source

• Config: src/trace_tasks/resources/configs/domains/geometry/paper_fold.yaml
• Task module: src/trace_tasks/tasks/geometry/paper_fold/paper_fold_angle_value.py