Binary fill inversion scene choice
Binary fill inversion scene choice asks the player to apply a same-coordinate binary state inversion, compare read-only complete candidate boards, and submit one separately bound stable scene id.
ActionApply a same-coordinate binary state inversion, compare read-only complete candidate boards, and submit one separately bound stable scene ID.
CheckComplete the binary fill inversion scene choice action.
UseSupport / Core / Transfer
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PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Contour-fit candidate choice
Contour-fit candidate choice asks the player to choose the stable label of the candidate that can fit the target contour under the permitted rigid motions without overlap or deformation.
ActionChoose the stable label of the candidate that can fit the target contour under the permitted rigid motions without overlap or deformation.
CheckComplete the contour-fit candidate choice action.
UseSupport / Core / Transfer
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PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Coordinate-grid construction state
Coordinate-grid construction state asks the player to place the required snapped points and straight segments on an exact coordinate grid, edit them until the submitted terminal construction satisfies every declared incidence, topology, coordinate, and exact geometric constraint, then submit that construction state.
ActionPlace the required snapped points and straight segments on an exact coordinate grid, edit them until the submitted terminal construction satisfies every declared incidence, topology, coordinate, and exact geometric constraint, then submit that construction state.
CheckComplete the coordinate-grid construction state action.
UseSupport / Core / Transfer
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PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Cube-net opposite-face choice
Cube-net opposite-face choice asks the player to reason from a labeled cube net and select or enter the face opposite the target face.
ActionReason from a labeled cube net and select or enter the face opposite the target face.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Curve-cut component count
Curve-cut component count asks the player to determine how many connected pieces result after the declared curves or cuts are applied and enter the count.
ActionDetermine how many connected pieces result after the declared curves or cuts are applied and enter the count.
CheckComplete the curve-cut component count action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Embedded-graph triangle count with exhaustive witness proof
Embedded-graph triangle count with exhaustive witness proof asks the player to inspect one fixed labeled straight-line graph, enter the total number of valid triangles, and submit the exhaustive set of each triangle's three corner labels.
ActionInspect one fixed labeled straight-line graph, enter the total number of valid triangles, and submit the exhaustive set of each triangle's three corner labels.
CheckComplete the embedded-graph triangle count with exhaustive witness proof action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Equal-rope knot-bundle choice
Equal-rope knot-bundle choice asks the player to compare exact shown cord lengths and knot effects, then choose the one candidate card consistent with equal starting lengths and identical positive per-knot cord use.
ActionCompare exact shown cord lengths and knot effects, then choose the one candidate card consistent with equal starting lengths and identical positive per-knot cord use.
CheckComplete the equal-rope knot-bundle choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Exact spatial symbol-absence choice
Exact spatial symbol-absence choice asks the player to identify an exact relation-defined reference set and choose the unique symbol category absent from it.
ActionIdentify an exact relation-defined reference set and choose the unique symbol category absent from it.
CheckComplete the exact spatial symbol-absence choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Frozen-glyph vertical-reflection count
Frozen-glyph vertical-reflection count asks the player to inspect frozen glyphs, determine which remain exactly unchanged under the shown vertical reflection, count the passing whole glyphs, and enter the exact count.
ActionInspect frozen glyphs, determine which remain exactly unchanged under the shown vertical reflection, count the passing whole glyphs, and enter the exact count.
CheckComplete the frozen-glyph vertical-reflection count action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Hand chirality choice
Hand chirality choice asks the player to choose the visual hand or orientation with the required chirality under rotation but not reflection.
ActionChoose the visual hand or orientation with the required chirality under rotation but not reflection.
CheckComplete the hand chirality choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Orthographic-projection visibility count
Orthographic-projection visibility count asks the player to use the exact orthographic views to determine and enter the number of visible or required solid elements.
ActionUse the exact orthographic views to determine and enter the number of visible or required solid elements.
CheckComplete the orthographic-projection visibility count action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Planar composition fit and inventory choice
Planar composition fit and inventory choice asks the player to choose exactly four pieces from a five-piece inventory, rotate and place them to make an exact 2-by-2 square, and identify the unused piece through the same placement certificate.
ActionChoose exactly four pieces from a five-piece inventory, rotate and place them to make an exact 2-by-2 square, and identify the unused piece through the same placement certificate.
CheckComplete the planar composition fit and inventory choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Polyline translation continuation choice
Polyline translation continuation choice asks the player to infer one translation from two congruent orthogonal grid polylines, apply it unchanged, and select the one labeled checkpoint incident to the hidden next copy.
ActionInfer one translation from two congruent orthogonal grid polylines, apply it unchanged, and select the one labeled checkpoint incident to the hidden next copy.
CheckComplete the polyline translation continuation choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Radial-rotation tracked-position choice
Radial-rotation tracked-position choice asks the player to track one designated moving object through an ordered sequence of clockwise ordinal choices at radial stations and choose its terminal gate.
ActionTrack one designated moving object through an ordered sequence of clockwise ordinal choices at radial stations and choose its terminal gate.
CheckComplete the radial-rotation tracked-position choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Relative-position grid arrangement choice
Relative-position grid arrangement choice asks the player to use fixed-position and directed relative-position clues to choose exactly one complete arrangement from a finite bank.
ActionUse fixed-position and directed relative-position clues to choose exactly one complete arrangement from a finite bank.
CheckComplete the relative-position grid arrangement choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Rotation-only icon match
Rotation-only icon match asks the player to choose the visible icon obtainable from the reference by the row-declared exact rotation only, rejecting reflections, other directed rotations, and shape changes.
ActionChoose the visible icon obtainable from the reference by the row-declared exact rotation only, rejecting reflections, other directed rotations, and shape changes.
CheckComplete the rotation-only icon match action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Segment relocation shape transform
Segment relocation shape transform asks the player to relocate exactly two distinct unit segments from a fixed initial edge state and submit the move delta plus the complete resulting edge state.
ActionRelocate exactly two distinct unit segments from a fixed initial edge state and submit the move delta plus the complete resulting edge state.
CheckComplete the segment relocation shape transform action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Transparent-layer D4 overlay choice
Transparent-layer D4 overlay choice asks the player to apply the permitted rotation or reflection to a moving transparent layer, overlay it with the fixed layer, and choose the exact resulting composite.
ActionApply the permitted rotation or reflection to a moving transparent layer, overlay it with the fixed layer, and choose the exact resulting composite.
CheckComplete the transparent-layer d4 overlay choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Voxel hidden-attribute inference choice
Voxel hidden-attribute inference choice asks the player to infer the hidden face state of identically labeled, independently rotated cubes from exact visible projections and choose the matching stable candidate.
ActionInfer the hidden face state of identically labeled, independently rotated cubes from exact visible projections and choose the matching stable candidate.
CheckComplete the voxel hidden-attribute inference choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Voxel piece-cover and color-partition choice
Voxel piece-cover and color-partition choice asks the player to inspect complete candidate solids/assemblies and choose the one that exactly covers the voxel target, preserves every declared rigid piece, and satisfies the declared color/mark partition, submitting the candidate’s stored cover witness.
ActionInspect complete candidate solids/assemblies and choose the one that exactly covers the voxel target, preserves every declared rigid piece, and satisfies the declared color/mark partition, submitting the candidate’s stored cover witness.
CheckComplete the voxel piece-cover and color-partition choice action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
Voxel visible-cube count
Voxel visible-cube count asks the player to inspect one complete fixed opaque voxel solid, choose and keep one external viewing place, identify every unit cube satisfying the declared visibility predicate, and submit the exact cube set with its count.
ActionInspect one complete fixed opaque voxel solid, choose and keep one external viewing place, identify every unit cube satisfying the declared visibility predicate, and submit the exact cube set with its count.
CheckComplete the voxel visible-cube count action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended
Practice focus
Geometry, shapes, and measurement
