Datasets:

bilaljawaid980
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GRIP-Benchmark

Level	Type	Question	Ground truth
L1	shown_angle_count	How many separate angles are shown in this image?	2
L2	larger_angle	Which angle is larger, Angle 1 or Angle 2? Answer with the label.	Angle 2
L3	angle_difference_nearest_10	Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?	20
L4	angle_sum_bucket	If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.	neither
L5	double_smaller_angle_compare	If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?	smaller

Metadata fields available: angle_1_degrees, angle_2_degrees, angle_degrees, angles, arc_sweep_degrees, canvas_size, dataset_version, difficulty_score, id, image_path, interior_angles_degrees, larger_angle, largest_angle_vertex, marked_sweep, ray_endpoints, scene_type, seed, smallest_angle_vertex, triangle_class, triangle_vertices, vertex

clock_reading_dataset_3000

Item: clock_reading_1122.png

Level	Type	Question	Ground truth
L1	hour_recently_passed	Which hour has the short hand most recently passed? Answer with a number from 1 to 12.	8
L2	minute_before_after_six	Is the minute hand pointing before or after the 6 (half past)? Answer 'before' or 'after'.	before
L3	exact_clock_time	What is the exact time shown? Answer in HH:MM format.	08:27
L4	smaller_hand_angle	What is the smaller angle between the hour and minute hands, rounded to the nearest degree?	92
L5	angle_after_twenty_minutes	If 20 minutes were added to the current time, what would the new smaller angle between the hands be, rounded to the nearest degree?	19

Metadata fields available: after_twenty_minutes, angle_between_hands, angle_between_hands_fraction, canvas_size, dataset_version, difficulty_score, hour, hour_angle, hour_angle_fraction, id, image_path, minute, minute_angle, minute_angle_fraction, minute_relation_to_six, seed, time

combination3d_dataset_3000

Item: combination3d_1531.png

Level	Type	Question	Ground truth
L1	target_cube_count	How many individual cubes make up the target structure?	11
L2	assembly3d_choice	Which set of pieces (A, B, C, or D) can be assembled using only translation and rotation around the vertical axis to exactly form the target structure? Answer with the letter.	C
L3	candidate_same_count	Does candidate A have the same total number of cubes as the target? Answer yes or no.	yes
L4	target_count_and_height	Give the target's total cube count and maximum height along the vertical z-axis in layers as count,height.	11,2
L5	whole_group_rotation	If the correctly assembled structure were rotated 90 degrees around the vertical z-axis as a whole, would it be the 'same shape, different angle' or a 'different structure'?	same shape, different angle

Metadata fields available: candidates, canvas_size, coordinate_frame, correct_answer_choice, dataset_version, difficulty_score, gravity_supported, id, image_path, permitted_piece_rotation_axes, renderer_projection, seed, target_cube_count, target_cubes, vertical_axis

combination_dataset_3000

Item: combination_1467.png

Level	Type	Question	Ground truth
L1	target_cell_count	How many unit cells make up the target shape?	8
L2	assembly_choice	Which set of pieces (A, B, C, or D) can be assembled using only translation and rotation, with no mirroring, to exactly form the target?	C
L3	candidate_piece_count	How many separate pieces are shown in candidate B?	2
L4	wrong_area_choice	Which candidate has the wrong total number of unit cells compared with the target?	B
L5	remove_top_left_cell_connectivity	If the topmost, then leftmost, target cell were removed, would the remaining target be connected or disconnected?	connected

Metadata fields available: candidates, canvas_size, correct_answer_choice, dataset_version, difficulty_score, id, image_path, seed, target_cell_count, target_cells

compass_bearing_dataset_3000

Item: compass_bearing_1343.png

Level	Type	Question	Ground truth
L1	landmark_count	How many landmarks are shown on this map?	4
L2	north_south_relation	Is landmark D located north or south of landmark B? Answer 'north', 'south', or 'same latitude'.	south
L3	rounded_compass_bearing	What is the compass bearing from landmark B to landmark C, rounded to the nearest 10 degrees? Answer with a three-digit number in curly brackets, e.g. {045}.	090
L4	turn_angle_direction	If you are standing at landmark C facing landmark A, and then turn to face landmark B instead, how many degrees would you need to turn, and in which direction? Round the angle to the nearest degree and answer with the amount plus 'clockwise' or 'counterclockwise'.	16 degrees counterclockwise
L5	counterfactual_bearing_projection	If you traveled from landmark A along a bearing of 200 degrees for the same distance as A-to-C, which of these landmarks would the projected endpoint be closest to: B, C, D? Give the letter and briefly justify using endpoint distance and bearing difference.	D; projected endpoint is closest to D (37.7 map units away; bearing difference 10.7 degrees)

Metadata fields available: all_pairwise_bearings, all_pairwise_distances, canvas_size, dataset_version, difficulty_score, distance_unit, frame_conventions, generation_attempt, has_path, id, image_path, landmarks, level2_pair, level3_pair, level4_triple, level5_projection, num_landmarks, path_bearing, path_end, path_start, seed

coordinate_geometry_dataset_3000

Item: coordinate_geometry_2624.png

Level	Type	Question	Ground truth
L1	point_coordinates	What are the coordinates of point A?	(-6, 4)
L2	pair_distance	What is the distance between point A and point C, rounded to 2 decimal places?	2.24
L3	pair_midpoint	What are the coordinates of the midpoint between point B and point C?	(-6, 0.5)
L4	distance_vs_10	The distance from point A to point B is 9.06 units. Is this greater than, less than, or equal to 10 units?	less than
L5	move_point_new_distance	If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?	8.06

Metadata fields available: all_pairwise_distances, all_pairwise_midpoints, canvas_size, collinear_labels, dataset_version, difficulty_score, frame_conventions, grid_range, id, image_path, is_collinear_triple, num_points, points, seed

cube_net_dataset_3000

Item: cube_net_1746.png

Level	Type	Question	Ground truth
L1	face_count	How many squares (faces) make up this cube net?	6
L2	net_edge_neighbor	Name one face that shares a fold edge with face B.	D
L3	net_edge_degree	How many faces share a fold edge with face F?	1
L4	folded_pair_relationship	If this net is folded into a cube, are face D and face E adjacent or opposite? Answer 'adjacent' or 'opposite'.	opposite
L5	swap_preserves_opposite	If the positions of faces F and E were swapped in this net, would face F still end up opposite the same face it currently is opposite to? Answer yes or no.	no

Metadata fields available: canvas_size, cube_adjacent_faces, cube_adjacent_pairs, dataset_version, difficulty_score, frame_conventions, id, image_path, letter_positions, net_edge_neighbors, net_edge_pairs, net_layout_type, opposite_pairs, seed, square_size_px, stroke_width_px

cube_structure_dataset_3000

Item: cube_structure_2141.png

Level	Type	Question	Ground truth
L1	total_cube_count	How many cubes make up this structure in total? Answer with a number in curly brackets, e.g. {12}.	11
L2	base_layer_count	How many cubes are touching the ground (bottom layer)? Answer with a number in curly brackets, e.g. {5}.	8
L3	largest_layer	Which layer (counting from the ground as layer 1) has the most cubes? Answer with a number in curly brackets, e.g. {2}.	1
L4	hidden_cube_count	How many cubes are completely hidden from the current view? Answer with a number.	1
L5	hidden_to_visible_180	If this structure were rotated 180 degrees around the vertical axis, how many currently-hidden cubes would become visible? Answer with a number in curly brackets, e.g. {3}.	1

Metadata fields available: base_layer_count, canvas_size, cluster_counts, color_cluster_count, coordinate_frame, cubes, cubes_per_layer, dataset_version, difficulty_score, generation_attempt, has_ambiguous_visual_floater, hidden_cube_count, hidden_members_per_cluster, hidden_to_visible_180, id, image_path, line_width_px, max_height, render_frame, rotation_axis_level5, seed, total_cube_count, vertical_axis, visible_cube_count

depth_height_dataset_3000

Item: depth_height_2725.png

Level	Type	Question	Ground truth
L1	object_count	How many objects are shown in this scene?	4
L2	pair_closer	Which object is closer to the camera: the purple circle or the orange triangle?	orange
L3	depth_ordering	Rank all objects in this scene from closest to farthest, by color.	['magenta', 'orange', 'purple', 'teal']
L4	depth_span	What is the difference between the farthest and closest stored depth values, rounded to two decimals?	0.65
L5	counterfactual_size	If the teal object moved twice as far from the camera as its current distance, would it appear larger, smaller, or about the same size as the orange object?	smaller

Metadata fields available: base_size_px, block_height_px, block_pitch_px, block_width_px, canvas_size, closest_object_color, dataset_version, depth_ordering, difficulty_score, farthest_object_color, frame_conventions, height_ordering, id, image_path, objects, scene_type, seed, shortest_stack_color, stacks, tallest_stack_color

embedded_figures_dataset_3000

Item: embedded_figure_1550.png

Level	Type	Question	Ground truth
L1	total_segments	How many straight line segments make up this complex figure in total?	12
L2	target_side_count	How many sides does the hidden target shape have (visible in the answer choices below)?	4
L3	embedded_choice	Which of the four candidate shapes (A, B, C, D) is actually hidden within the complex figure above? Answer with the letter.	B
L4	distractor_segment_count	How many of the total line segments in the complex figure are NOT part of the hidden target shape (i.e. are distractor lines)?	8
L5	remove_target_edge_closure	If exactly one edge of the embedded target polygon were removed while all other target edges stayed, would the target be closed or open?	open

Metadata fields available: candidate_choices, canvas_size, correct_answer_choice, dataset_version, difficulty_score, distractor_choices_info, id, image_path, num_distractor_segments, num_total_segments, same_side_foil_exists, seed, segments, target_edges, target_shape_type, target_vertices

fbd_dataset_3000

Item: fbd_0644.png

Level	Type	Question	Ground truth
L1	shown_force_count	How many force arrows are shown in this diagram?	2
L2	identify_force	Which labeled arrow represents the weight force on the analyzed body? Answer with the arrow label.	W
L3	rank_balance_equilibrium	Using only the arrows as drawn in this diagram, rank their shown magnitudes from largest to smallest, grouping ties, and state whether their shown vertical components are balanced. Then, as a separate judgment using the physically correct version of the scenario, state whether the body is in equilibrium overall. Give all three answers and keep the drawn-diagram and physically-correct frames separate.	{'magnitude_ranking': [['T'], ['W']], 'physical_equilibrium': 'yes', 'shown_vertical_forces_balanced': 'no'}
L4	compound_force_and_error_detection	Using the physically correct force model (not any intentionally incorrect arrow as drawn), what is the physical net force magnitude in newtons, and what is the tension magnitude for this scenario? Give both values. Separately, inspect the rendered diagram: one drawn force is incorrect; identify that drawn arrow and explain its error relative to the physically correct model.	{'net_force_N': 0.0, 'tension_magnitude': 135.08, 'wrong_force_details': {'arrow_label': 'T', 'correct_value': {'direction_degrees': 90.0, 'magnitude': 135.0837}, 'error_kind': 'magnitude', 'shown_value': {'direction_degrees': 90.0, 'magnitude': 189.11718}, 'whats_wrong': 'magnitude is 40% larger than the physically required value', 'which_force': 'tension'}}
L5	force_removed_direction	If force T were removed while all other physical forces stayed unchanged, what direction would the resulting acceleration point? Use 0 degrees for right and 90 degrees for up.	downward (270 degrees; 0=right, 90=up)

Metadata fields available: analysis_mass_kg, analysis_target, dataset_version, derived_quantities, difficulty_score, forces, id, image_path, is_equilibrium, missing_force_id, missing_force_type, net_force_direction_degrees, net_force_magnitude, physical_frame, physics_parameters, preset, question_frame_policy, rendered_frame, resulting_acceleration_m_s2, scenario_type, seed, shown_forces, shown_net_force_direction_degrees, shown_net_force_magnitude, wrong_force_details

fold_punch_dataset_3000

Item: fold_punch_1503.png

Level	Type	Question	Ground truth
L1	fold_count	How many fold steps are shown before the paper is punched?	2
L2	unfolded_hole_count	How many holes will appear when the paper is fully unfolded?	4
L3	correct_pattern_choice	Which of the four unfolded patterns (A, B, C, D) correctly shows where the holes will appear? Answer with the letter.	C
L4	remove_last_fold	If the last fold were removed, would the unfolded hole count be 'exactly half' or have a 'different relationship'?	exactly half
L5	remove_last_fold	If the last fold were removed, would the unfolded hole count be 'exactly half' or have a 'different relationship'?	exactly half

Metadata fields available: candidates, canvas_size, coordinate_frame, correct_answer_choice, dataset_version, difficulty_score, final_folded_bounds, fold_sequence, id, image_path, minimum_distractor_displacement, num_folds, num_holes, punch_position, seed, unfolded_hole_positions

gauge_reading_dataset_3000

Item: gauge_reading_1512.png

Level	Type	Question	Ground truth
L1	minimum_scale_value	What is the minimum value shown on this gauge's scale?	0
L2	lower_or_upper_half	Is the needle pointing to a value in the lower half or upper half of the gauge's range? Answer 'lower half' or 'upper half'.	lower half
L3	needle_value_nearest_tick	What value is the needle pointing to, rounded to the nearest tick mark interval?	40
L4	danger_zone_status	Is the needle currently in the danger zone, if one is marked? If so, by how much does it exceed the threshold?	no danger zone marked
L5	quarter_range_increase	If the needle value increased by 25% of the gauge's full range, would it exceed the maximum value on the scale? Answer yes or no, and give the new value.	no; new value 65

Metadata fields available: canvas_size, danger_zone_threshold, danger_zone_threshold_fraction, dataset_version, dial_start_angle, dial_sweep_degrees, difficulty_score, id, image_path, instrument_type, max_value, min_value, needle_angle, needle_angle_fraction, needle_value, needle_value_fraction, projected_exceeds_maximum, projected_value_after_quarter_range, projected_value_fraction, rounded_tick_value, rounded_tick_value_fraction, seed, tick_interval, unit

gear_train_dataset_3000

Item: gear_train_1314.png

Level	Type	Question	Ground truth
L1	gear_count	How many gears are shown in this gear train?	4
L2	direct_mesh_direction	Gear B directly meshes with gear A (the driver). Does gear B rotate in the same direction as the driver, or the opposite direction?	opposite
L3	fastest_gear	Which gear rotates the fastest (has the highest RPM)? Answer with the letter.	A
L4	multi_mesh_target_rpm	Gear A (the driver) rotates at 50 RPM. What is the RPM of gear D, which is 3 meshes from the driver? Answer with a number rounded to 1 decimal place.	42.3
L5	double_teeth_counterfactual	If gear A's tooth count were doubled while the driver's RPM and direction stayed fixed, would gear D's rotation speed increase, decrease, or stay the same? Also state whether its rotation direction would change.	increase; direction unchanged

Metadata fields available: arrangement_type, canvas_size, computed_rotation, dataset_version, difficulty_score, driver_direction, driver_label, driver_rpm, gears, id, image_path, level2_neighbor, level4_mesh_distance, level4_target, level5_scenario, mesh_edges, num_gears, seed

hex_pathfinding_dataset_3000

Item: hex_pathfinding_2114.png

Level	Type	Question	Ground truth
L1	hole_tile_count	How many grey (hole) tiles are shown in this grid?	11
L2	adjacent_neighbor_status	Is the tile outlined in blue with a '?', immediately adjacent to START, a grey hole or walkable? Answer 'hole' or 'walkable'.	hole
L3	shortest_path_length	What is the minimum number of moves needed to travel from START to HOME while avoiding all grey holes? Answer with a number in curly brackets.	6
L4	shortest_path_uniqueness	Is the shortest path from START to HOME unique, or are there multiple different shortest paths of the same length? If multiple, how many?	multiple (3)
L5	blocked_tile_replanning	If the walkable tile marked with a purple X at axial position (2,1) were turned into a hole, would the shortest path length increase, stay the same, or would there be no valid path? If it increases, state the new shortest length.	increase to 7 moves

Metadata fields available: all_tiles, canvas_size, coordinate_frame, dataset_version, difficulty_score, generation_attempt, grid_radius, hole_density, home_coordinate, id, image_path, level2_neighbor_coordinate, level2_neighbor_direction_is_toward_home, level5_blocked_coordinate, level5_new_shortest_path_length, level5_outcome, num_alternate_shortest_paths, num_hole_tiles, seed, shortest_path_length, shortest_path_sequence, start_coordinate

impossible_object_dataset_3000

Item: impossible_object_1429.png

Level	Type	Question	Ground truth
L1	beam_count	How many distinct beams or segments make up this structure?	5
L2	constructible	Is this 3D structure physically constructible in real space? Answer yes or no.	yes
L3	nearest_center_front_beam	At the crossing closest to the image centre, which beam passes in front? Answer with the beam label.	B
L4	crossing_count	How many crossing points are visible where one beam passes over another? Answer with a number.	8
L5	single_beam_constructibility_repair	Which single beam, if removed, would make this structure physically constructible? Answer with the beam label, or 'already constructible' if the structure requires no change.	already constructible

Metadata fields available: beams, canvas_size, color, crossings, dataset_version, depth_constraint_representation, depth_constraints, difficulty_score, id, image_path, mode, num_beams, num_crossings, reference_crossing_id, reference_crossing_point, reference_front_beam, reference_rule, removable_beam_label, scene_params, seed

laser_mirror_dataset_3000

Item: laser_mirror_1299.png

Level	Type	Question	Ground truth
L1	mirror_count	How many mirrors are placed in this grid?	2
L2	hits_any_mirror	Does the laser hit at least one mirror before exiting the grid? Answer yes or no.	yes
L3	reflection_count	How many times does the laser reflect off a mirror before exiting the grid?	1
L4	exit_edge_position	From which edge and position does the laser exit the grid? Answer with the edge (top/bottom/left/right) and cell position.	right, position 4
L5	flipped_mirror_exit	If the mirror at cell R4C3 were rotated 90 degrees (changed from '/' to '\' or vice versa), would the laser's exit point change? If so, where would it now exit?	yes; exits at left, position 4

Metadata fields available: canvas_size, dataset_version, difficulty_score, entry_cell, entry_direction, entry_edge, entry_position, exit_cell, exit_direction, exit_edge, exit_position, generation_attempt, grid_size, id, image_path, level5_exit_cell, level5_exit_changed, level5_exit_direction, level5_exit_edge, level5_exit_position, level5_flipped_orientation, level5_mirror_cell, level5_num_reflections, level5_original_orientation, level5_path_cells, mirrors, num_reflections, path_cells, path_length, reflection_points, seed

line_intersection_dataset_3000

Item: line_intersect_0918.png

Level	Type	Question	Ground truth
L1	blue_segment_count	How many line segments make up the blue line?	3
L2	intersection_count	How many times do the blue and red lines touch each other? Answer with a number in curly brackets, e.g. {5}.	1
L3	leftmost_intersection_side	Is the leftmost intersection point closer to the left edge or the right edge of the image? Answer 'left' or 'right'.	left
L4	intersection_parity	If the two lines intersect an odd number of times, the line that starts higher must end lower (and vice versa). Based on this rule, do these two lines intersect an odd or even number of times? Answer 'odd' or 'even'.	odd
L5	translate_red_intersections	If the entire red polyline were translated exactly 60 pixels downward without changing its shape, how many red-blue intersections would remain?	0

Metadata fields available: blue_points, blue_self_intersecting, canvas_size, crossed_from_above_to_below, dataset_version, difficulty_score, frame_conventions, id, image_path, intersections, leftmost_intersection_x, num_blue_segments, num_red_segments, red_above_blue_at_end, red_above_blue_at_start, red_points, red_self_intersecting, rightmost_intersection_x, seed, total_intersections, wording_variant

nested_hexagons_dataset_3000

Item: nested_hexagons_1589.png

Level	Type	Question	Ground truth
L1	count_hexagons	How many hexagons are in this image? Please answer with a number in curly brackets, e.g. {10}.	7
L2	size_progression_direction	Do the shapes shrink by roughly the same factor at each step, or does the amount of shrinking change as you move inward? Answer 'constant' or 'changing'.	constant
L3	outer_inner_side_ratio	What is the approximate ratio of the outermost hexagon's side length to the innermost hexagon's side length? Answer as a number rounded to 1 decimal in curly brackets, e.g. {3.2}.	4.8
L4	cumulative_rotation	Through approximately how many degrees has the innermost hexagon been rotated relative to the outermost hexagon? Because regular hexagons have 6-fold symmetry, answer with a value from 0 to 60 in curly brackets, e.g. {20}.	31
L5	next_hexagon_visually_distinguishable	If one more hexagon were added inside the innermost one following the same size-reduction pattern, would its side length still be long enough to be visually distinguishable at this image resolution (i.e. greater than roughly 12% of the outermost hexagon's side length)? Answer yes or no.	yes

Metadata fields available: canvas_size, center_drift, color_alternation, cumulative_rotation_degrees, cumulative_rotation_fraction, dataset_version, difficulty_score, drift_floor_applied_as_rejection, extrapolation_reduction_factor, factor_progression_direction, generation_attempt, generation_rejections, hexagons, id, image_path, line_width_px, matched_clearance_target_px, minimum_adjacent_clear_background_px, num_hexagons, offset_requested_pre_containment, paired_nuisance_rank, parameter_seed, reduction_factor_span, reduction_mode, rejected_candidates, rotation_mode, sampled_total_inner_fraction, sampled_total_reduction_root, seed, size_axis_band, size_axis_pair_rank, size_reduction_factor, source_index, step_reduction_factors, stroke_colors_used, symmetry_modulus_degrees, target_cumulative_rotation_degrees

nested_squares_dataset_3000

Item: nested_squares_1493.png

Level	Type	Question	Ground truth
L1	count_squares	How many squares are in this image? Please answer with a number in curly brackets, e.g. {10}.	7
L2	size_progression_direction	Do the shapes shrink by roughly the same factor at each step, or does the amount of shrinking change as you move inward? Answer 'constant' or 'changing'.	constant
L3	outer_inner_side_ratio	What is the approximate ratio of the outermost square's side length to the innermost square's side length? Answer as a number rounded to 1 decimal in curly brackets, e.g. {3.2}.	5.0
L4	cumulative_rotation	Through approximately how many degrees has the innermost square been rotated relative to the outermost square? Because regular squares have 4-fold symmetry, answer with a value from 0 to 90 in curly brackets, e.g. {25}.	36
L5	next_square_visually_distinguishable	If one more square were added inside the innermost one following the same size-reduction pattern, would its side length still be long enough to be visually distinguishable at this image resolution (i.e. greater than roughly 12% of the outermost square's side length)? Answer yes or no.	yes

Metadata fields available: canvas_size, center_drift, color_alternation, cumulative_rotation_degrees, cumulative_rotation_fraction, dataset_version, difficulty_score, drift_floor_applied_as_rejection, extrapolation_reduction_factor, factor_progression_direction, generation_attempt, generation_rejections, id, image_path, line_width_px, matched_clearance_target_px, minimum_adjacent_clear_background_px, num_squares, offset_requested_pre_containment, paired_nuisance_rank, parameter_seed, reduction_factor_span, reduction_mode, rejected_candidates, rotation_mode, sampled_total_inner_fraction, sampled_total_reduction_root, seed, size_axis_band, size_axis_pair_rank, size_reduction_factor, source_index, squares, step_reduction_factors, stroke_colors_used, symmetry_modulus_degrees, target_cumulative_rotation_degrees

nested_triangles_dataset_3000

Item: nested_triangles_1485.png

Level	Type	Question	Ground truth
L1	count_triangles	How many triangles are in this image? Please answer with a number in curly brackets, e.g. {10}.	9
L2	size_progression_direction	Do the shapes shrink by roughly the same factor at each step, or does the amount of shrinking change as you move inward? Answer 'constant' or 'changing'.	constant
L3	outer_inner_side_ratio	What is the approximate ratio of the outermost triangle's side length to the innermost triangle's side length? Answer as a number rounded to 1 decimal in curly brackets, e.g. {3.2}.	8.2
L4	cumulative_rotation	Through approximately how many degrees has the innermost triangle been rotated relative to the outermost triangle? Because regular triangles have 3-fold symmetry, answer with a value from 0 to 120 in curly brackets, e.g. {25}.	42
L5	next_triangle_visually_distinguishable	If one more triangle were added inside the innermost one following the same size-reduction pattern, would its side length still be long enough to be visually distinguishable at this image resolution (i.e. greater than roughly 12% of the outermost triangle's side length)? Answer yes or no.	no

Metadata fields available: canvas_size, center_drift, color_alternation, cumulative_rotation_degrees, cumulative_rotation_fraction, dataset_version, difficulty_score, drift_floor_applied_as_rejection, extrapolation_reduction_factor, factor_progression_direction, generation_attempt, generation_rejections, id, image_path, line_width_px, matched_clearance_target_px, minimum_adjacent_clear_background_px, num_triangles, offset_requested_pre_containment, paired_nuisance_rank, parameter_seed, reduction_factor_span, reduction_mode, rejected_candidates, rotation_mode, sampled_total_inner_fraction, sampled_total_reduction_root, seed, size_axis_band, size_axis_pair_rank, size_reduction_factor, source_index, step_reduction_factors, stroke_colors_used, symmetry_modulus_degrees, target_cumulative_rotation_degrees, triangles

occluded_pattern_dataset_3000

Item: occluded_pattern_1541.png

Level	Type	Question	Ground truth
L1	visible_object_count	How many objects are clearly visible (not hidden behind the occluder) in this image?	8
L2	total_object_count	Assuming the pattern continues behind the occluded region, how many objects are there in total? Answer with a number in curly brackets, e.g. {12}.	10
L3	pattern_type	What type of pattern do the objects form - a grid, a circle, or a triangular arrangement? Answer with one word.	circle
L4	occluded_object_count	How many objects are hidden behind the occluded region specifically (not counting the visible ones)? Answer with a number in curly brackets.	2
L5	remove_occluder_extend_pattern	If the occluder were removed and the pattern extended by one additional object outside the former occluded region, how many objects would be visible in total?	11

Metadata fields available: canvas_size, dataset_version, difficulty_score, frame_conventions, id, image_path, object_color, object_positions, object_radius_px, occluded_object_count, occluder_bounds, occluder_style, pattern_params, pattern_type, seed, shape_type, total_object_count, visible_object_count

optical_illusion_dataset_3000

Item: optical_illusion_1940.png

Level	Type	Question	Ground truth
L1	comparison_element_count	How many target line segments are being compared in this image?	2
L2	contextual_apparent_size	Because of the converging lines, which element would a typical human viewer perceive as longer—element A or element B? Answer with the letter.	B
L3	actual_size_comparison	Ignoring the surrounding context, measure the actual length of element A and element B. Are they equal, or is one actually longer? Answer 'equal', 'A', or 'B'.	equal
L4	true_size_percent_difference	By approximately what percentage do the two elements' TRUE sizes differ (0% if equal)? Answer with a number in curly brackets, e.g. {12}.	0
L5	remove_illusion_context	If the visual context (converging lines) were removed entirely and only the two bare elements remained, would your answer to 'which one is bigger' change from what the illusion suggests? Answer yes or no, and state which is actually bigger without the context.	yes; actually equal

Metadata fields available: are_actually_equal, canvas_size, construction, dataset_version, difficulty_score, element_a_true_value, element_b_true_value, frame_conventions, id, illusion_appears_larger_element, illusion_direction, illusion_type, image_path, matches_illusion_direction, percent_difference, percent_difference_definition, percent_difference_fraction, seed

orthographic_dataset_3000

Item: orthographic_1483.png

Level	Type	Question	Ground truth
L1	top_view_filled_count	How many unit cells are filled in the top view?	7
L2	minimum_possible_cube_count	Based on the three views shown, what is the minimum possible number of cubes in a gravity-supported 3D structure? Answer with a number in curly brackets.	9
L3	largest_filled_view	Which view (top, front, or side) shows the largest filled area (most filled cells)?	top
L4	unique_determination	Do these three views uniquely determine the gravity-supported 3D structure, or could a different arrangement of cubes produce the exact same three views? Answer 'unique' or 'not unique'.	not unique
L5	add_above_tallest_changed_views	If one cube were added directly on top of a tallest column, which orthographic view or views would change?	front and side

Metadata fields available: add_cube_changed_views, candidates, canvas_size, correct_answer_choice, dataset_version, difficulty_score, front_view_cells, has_candidate_panel, id, image_path, is_uniquely_determined, is_uniquely_determined_same_count, minimum_possible_cube_count, seed, side_view_cells, tallest_column_xy, target_cubes, top_view_cells, total_cube_count, uniqueness_scope, view_filled_counts

overlap_circles_dataset_3000

Item: overlap_circles_0283.png

Level	Type	Question	Ground truth
L1	total_circle_count	How many distinct circles are in this image? Answer with a number in curly brackets, e.g. {8}.	9
L2	has_non_overlapping_circle	Is there any circle that does not overlap with any other circle? Answer yes or no.	yes
L3	cluster_distribution	Are the circles clustered tightly in one area, or spread evenly across the whole image? Answer 'clustered' or 'spread'.	target_density
L4	above_average_radius_count	How many circles have a radius larger than the average radius of all circles in this image? Answer with a number in curly brackets.	4
L5	remove_largest_overlap_pairs	If the largest circle were removed, how many overlapping circle-pairs would remain?	8

Metadata fields available: above_average_radius_count, canvas_size, circles, dataset_version, difficulty_score, generation_attempt, generation_mode, geometry_frame, id, image_path, isolated_after_largest_removal, largest_circle_index, largest_radius, line_width_px, max_stack_depth, max_stack_location, non_overlapping_circles, non_overlapping_count, overlap_density, overlapping_pairs_after_largest_removal, pairwise_overlaps, rejections_max_stack_depth, seed, smallest_circle_index, smallest_radius, target_overlap_density, three_plus_overlap_percent, total_circle_count, total_overlapping_pairs

physical_stability_dataset_3000

Item: physical_stability_1508.png

Level	Type	Question	Ground truth
L1	block_count	How many blocks are in this stack?	4
L2	relative_center_of_mass	Is block C's center of mass positioned to the left, right, or directly above the center of block B, which it rests on?	right
L3	largest_support_offset	Which block has the largest absolute horizontal center offset from the block directly beneath it? Answer with the letter.	D
L4	whole_stack_stability	Is this entire stack stable, or will it tip over? If it tips, state the lowest joint at which it first becomes unstable.	stable
L5	remove_top_recheck_stability	If topmost block D were removed, would the remaining stack be stable or unstable? Answer accordingly and briefly state the center-of-mass reason.	stable; after removing block D, every cumulative center of mass remains within its supporting base

Metadata fields available: after_top_removal, blocks, canvas_size, counterfactual_scenario, dataset_version, difficulty_score, id, image_path, is_stable, largest_offset_block, level2_upper_block, num_blocks, per_joint_stability, seed, tipping_joint

polyhedron_dataset_3000

Item: polyhedron_1736.png

Level	Type	Question	Ground truth
L1	face_count	How many faces does this solid have in total, including hidden faces?	14
L2	convexity	Is this solid convex or non-convex? Answer 'convex' or 'non-convex'.	convex
L3	face_shapes	What shape are the faces of this solid — triangles, squares, pentagons, or a mix of shapes?	mixed
L4	is_compound	Is this solid composed of overlapping shapes forming a compound structure? Answer yes or no.	no
L5	remove_face_closed_surface	If one face were removed from this solid while all remaining faces stayed fixed, would the result still be a closed surface to which the closed-surface Euler formula directly applies? Answer yes or no.	no

Metadata fields available: canvas_size, dataset_version, edge_count, edges, face_count, face_shape_types, faces, frame_conventions, id, image_path, is_convex, seed, solid_class, solid_name, vertex_count, vertices, viewing_angle, visible_face_count

projectile_motion_dataset_1000

Item: projectile_motion_0987.png

Level	Type	Question	Ground truth
L1	read_launch_angle	What is the initial launch angle shown, in degrees?	43
L2	height_above_20m	Will the projectile reach a higher maximum height than 20 meters? Answer yes or no.	no
L3	horizontal_position_at_peak	At what horizontal distance from launch does the projectile reach its maximum height? Answer in meters, rounded to 1 decimal.	26.9
L4	flight_time_and_range	What are the total time of flight in seconds and total horizontal range in meters? Round both to 1 decimal.	{'time_of_flight_s': 3.2, 'range_m': 53.8}
L5	range_at_45_degrees	If the launch angle were changed to 45 degrees while keeping the same initial speed, would the horizontal range increase, decrease, or stay the same?	increase

Metadata fields available: canvas_height, canvas_width, dataset_version, difficulty_score, gravity_m_s2, has_obstacle, horizontal_position_at_peak_m, id, image_path, initial_speed_m_s, initial_velocity_x_m_s, initial_velocity_y_m_s, launch_angle_degrees, max_height_m, obstacle, range_at_45_degrees_m, range_change_at_45_degrees, range_m, seed, time_of_flight_s

rotation_matching_dataset_3000

Item: rotation_match_1649.png

Level	Type	Question	Ground truth
L1	reference_vertex_count	How many vertices (corners) does the reference figure have?	7
L2	target_angle_rotation_choice	Which candidate shows the reference figure rigidly rotated 180 degrees clockwise? Answer with the letter.	A
L3	candidate_rotation_angle	By how many degrees clockwise is candidate D rotated relative to the reference? Choose 45, 90, 135, 180, 225, 270, or 315 degrees.	90
L4	reflection_choice	Exactly one candidate is a reflection (mirror image) rather than a rotation. Which one? Answer with the letter.	C
L5	additional_rotation_angle	If the reference were first rotated by the target angle of 180 degrees clockwise and then rotated an additional 90 degrees clockwise, what would the total normalized rotation be? Answer from 45, 90, 135, 180, 225, 270, 315, or 360 degrees.	270

Metadata fields available: candidates, canvas_size, coordinate_frame, correct_answer_choice, correct_rotation_angle, dataset_version, difficulty_score, id, image_path, minimum_turn_guard_degrees, minimum_turning_angle_degrees, num_reference_vertices, reference_generation_rejections, reference_vertices, reflection_answer_choice, seed

route_dataset_3000

Item: route_puzzle_2676.png

Level	Type	Question	Ground truth
L1	num_labeled_endpoints	How many labeled endpoints (letters) are shown in this image?	5
L2	count_routes_between_pair	Count the one-colored routes that go from B to D. Answer with a number in curly brackets e.g. {1}	1
L3	letter_degree	How many routes does letter B have in total (i.e. touching B)?	4
L4	single_route_pairs	List all letter-pairs that have exactly one connecting route between them.	['AC', 'AE', 'BC', 'BD', 'CD']
L5	add_route_new_max_degree	If one new route were added directly between C and E, what would the maximum endpoint degree become?	4

Metadata fields available: canvas_size, colors_used, crossing_count, dataset_version, difficulty_score, endpoint_letters, frame_conventions, id, image_path, line_width_px, num_endpoints, num_routes, routes, seed

rpm_dataset_3000

Item: rpm_2816.png

Level	Type	Question	Ground truth
L1	top_left_shape_count	How many shapes appear in the panel at row 1, column 1 (top-left)?	3
L2	correct_choice	Which of the 8 numbered choices correctly completes the pattern in the missing panel? Answer with the number.	5
L3	distractor_classification	Choice 6 is wrong. Does it have the correct shape but wrong color, the correct color but wrong shape, or is it wrong in some other way?	wrong in some other way
L4	choices_matching_correct_shape	How many of the 8 answer choices share the same shape type as the correct answer, even though most of them are wrong for other reasons? Answer with a number.	6
L5	add_same_shape_distractor	If a ninth, incorrect choice with the same shape type as the correct answer but a wrong color were added, how many choices would then share the correct shape type?	7

Metadata fields available: active_rules, answer_choices, background_constants, canvas_size, correct_answer_index, dataset_version, difficulty_score, difficulty_tier, distractor_violations, frame_conventions, grid_panels, id, image_path, num_active_rules, orientation, seed

shadow_inference_dataset_3000

Item: shadow_inference_0577.png

Level	Type	Question	Ground truth
L1	object_count	How many objects are casting a shadow in this image?	2
L2	light_direction_bucket	From which general direction is the light coming — left, right, front, or back? Answer with one word.	right
L3	light_height_class	Is the light source high in the sky (steep angle) or low near the horizon (shallow angle)? Answer 'high' or 'low'.	high
L4	opposite_azimuth_length_change	If the light source moved to the exact opposite direction (180 degrees azimuth rotation), would the shadows lengthen, shorten, or stay the same length?	same
L5	raise_light_elevation	If the light elevation increased by 20 degrees while remaining below 90 degrees and all object geometry stayed fixed, would each shadow become longer, shorter, or unchanged?	shorter

Metadata fields available: azimuth_convention, azimuth_exclusion_degrees, canvas_size, coordinate_frame, dataset_version, difficulty_score, ground_y, has_inconsistent_shadow, id, image_path, inconsistent_object_index, light_azimuth_degrees, light_elevation_degrees, num_objects, objects, seed

surface_topology_dataset_3000

Item: surface_topology_1500.png

Level	Type	Question	Ground truth
L1	genus_count	How many holes or handles does this surface have? Answer with a number in curly brackets, e.g. {1}.	1
L2	orientability	Is this surface orientable (has a consistent 'inside' and 'outside') or non-orientable (a single-sided surface, like a Möbius strip)? Answer 'orientable' or 'non-orientable'.	orientable
L3	euler_characteristic	What is the Euler characteristic of this surface? Answer with a number in curly brackets (can be negative), e.g. {-2}.	0
L4	combined_euler_orientability	Combine the depicted surface's genus/handle structure and orientability: report its Euler characteristic, followed by whether it is orientable or non-orientable. Answer as 'Euler characteristic; orientability'.	0; orientable
L5	remove_disk_euler_characteristic	If a small open disk were removed from this surface, creating exactly one additional boundary component without changing its genus or orientability, what would its new Euler characteristic be? Answer with a number in curly brackets, e.g. {-1}.	-1

Metadata fields available: boundary_count, canvas_size, dataset_version, difficulty_score, edge_count, euler_characteristic, face_count, frame_conventions, genus, genus_kind, id, image_path, is_orientable, mesh_edges, mesh_faces, mesh_vertices, render_color, seed, surface_type, surface_variant, vertex_count, viewing_angle

symmetry_pattern_dataset_3000

Item: symmetry_pattern_1494.png

Level	Type	Question	Ground truth
L1	shape_count	How many shapes are in this pattern?	8
L2	symmetry_status	Is this pattern symmetric, or is there an element that breaks the symmetry? Answer 'symmetric' or 'broken'.	symmetric
L3	symmetry_family	What type of symmetry does this pattern have — rotational or mirror/reflective? Answer 'rotational' or 'mirror'.	rotational
L4	symmetric_partner_count	How many shapes are positioned at the exact symmetric location of another shape? Answer with a number.	8
L5	counterfactual_symmetry_repair_break	If exactly one shape shifted while its symmetric partner stayed fixed, would the global symmetry become broken?	yes

Metadata fields available: break_type, broken_location, broken_shape_index, broken_shape_position, canvas_size, dataset_version, difficulty_score, frame_conventions, id, image_path, is_broken, num_shapes, seed, shapes, symmetric_partner_count, symmetry_type