DivideBox· Advanced

Goal

Fill the entire grid with non-overlapping rectangles. Each rectangle must contain exactly one number.

How to Play

  • Drag across cells to draw a rectangular region
  • Tap an existing rectangle to remove it
  • Fill all cells following the rules to clear the puzzle!

Region Size = Number

The number of cells in each rectangle must exactly match the number inside it.

3= 3OK
3= 2NG

One Number Per Region

Each rectangle must contain exactly one number. Having two numbers or none is not allowed.

2OK
23NG

Completed Example

  • Each rectangle must contain exactly one number
  • The number represents the area (cell count) of its rectangle
  • Rectangles cannot overlap, and every cell must be covered
62224

Tip

  • Start with small clues (2, 3) — they have fewer possible placements and are easier to determine
  • Prime numbers (2, 3, 5, 7) have limited shape options, making them easier to place
  • Numbers near edges and corners have fewer placement directions, making them easier to solve

Spatial partitioning puzzles train visuospatial working memory, mental rotation, and constraint satisfaction abilities. Research shows spatial skills are trainable and improvements transfer to other cognitive domains.

  • Uttal, D.H. et al. (2013). The malleability of spatial skills: A meta-analysis of training studies. Psychological Bulletin, 139(2), 352-402.