Repeating patterns

Identify the repeating unit in a visual or symbolic pattern and extend it to the next needed positions.

Surface

This skill appears in Outcome-dependent rotation identity choice, Recurrence or cycle target entry, Repeating-jump state pair.

Task formats

Outcome-dependent rotation identity choice

Outcome-dependent rotation identity choice asks the player to use appearance counts and an outcome-dependent replacement rule to identify the uniquely forced participant or outcome at a target step.

ActionUse appearance counts and an outcome-dependent replacement rule to identify the uniquely forced participant or outcome at a target step.

CheckChoose the answer that matches the visible prompt.

UseSupport / Core / Transfer

ShowsCheck only

PresentationCompact / Standard / Extended

Practice focus

Balanced growth

Recurrence or cycle target entry

Recurrence or cycle target entry asks the player to infer the recurrence or cycle from exact state rules and enter the requested term number or cycle-state index.

ActionInfer the recurrence or cycle from exact state rules and enter the requested term number or cycle-state index.

CheckEnter or choose the number that matches the task.

UseSupport / Core / Transfer

ShowsCheck only

PresentationCompact / Standard / Extended

Practice focus

Balanced growth

Repeating-jump state pair

Repeating-jump state pair asks the player to apply the repeating jump rule to the target step and submit the ordered pair describing the resulting jump state.

ActionApply the repeating jump rule to the target step and submit the ordered pair describing the resulting jump state.

CheckComplete the repeating-jump state pair action.

UseSupport / Core / Transfer

ShowsCheck only

PresentationCompact / Standard / Extended

Practice focus

Balanced growth

Selection

Fresh independent work can move toward Core, Transfer, or Challenge routes; help use or confusion keeps support visible.

Help

Hints keep attention on the visible structure; reveals show the path without counting as independent evidence.

Presentation

Presentation can reduce reading and interaction load without changing the selected skill. Practice focus can bias compatible work without breaking prerequisites or story fit.

Story fit

episodes where a visible rule generates later terms, states, positions, or counts