A 6×6 Shikaku grid has 36 cells — the perfect middle ground between quick 5×5 puzzles and challenging larger grids. Most players spend 5-10 minutes per puzzle, making it ideal for a coffee break.
36 cells — enough complexity for satisfying "aha" moments
8-14 rectangles — diverse shapes without overwhelming
5-10 minute solve time — perfect for a focused session
Numbers up to 36 — introduces factor pairs like 12 (2×6, 3×4) and 18 (2×9, 3×6)
6×6-Specific Strategies
The "36 Check"
Before placing anything, add up all the numbers on the grid. They must sum to exactly 36. This quick sanity check catches transcription errors instantly.
Prime Numbers Are Anchors
In a 6×6 grid, primes like 5, 7, 11, 13 can only form 1×N or N×1 rectangles. A "7" must be a straight line of 7 cells — and in a 6-wide grid, it can only go vertically (7×1). These are your strongest constraints.
The "12 Fork"
The number 12 is common in 6×6 puzzles and has four possible shapes: 1×12 (impossible in 6×6), 2×6, 3×4, 4×3, 6×2. Always check which orientations fit the available space before committing.
1Mark all "1" cells. (0,5), (4,0), and (5,5) are instant 1×1 rectangles.
2Corner "3" at (0,0). Top-left corner, can go right (1×3) or down (3×1). Check: going right hits (0,3) which has a "2". So go down: (0,0)-(2,0).
3"6" at (1,1). Center area. Options: 1×6 (too wide), 2×3, 3×2, 6×1 (too tall). Try 2×3: (1,1)-(2,3). Check — (2,0) is taken by the "3", but (2,1)-(2,2) are free. Works!
4"4" at (2,3). Can be 1×4, 2×2, or 4×1. A 2×2 at (2,3)-(3,4) fits perfectly. Continue with remaining numbers...
Factor Reference for 6×6
Numbers in a 6×6 grid range from 1 to 36. Here are the tricky ones:
7, 11, 13, 17, 19, 23, 29, 31 — primes, must be 1×N (straight line)
12 — 2×6, 3×4, 4×3, 6×2 (four options, most flexible)
18 — 2×9 (too tall), 3×6, 6×3 (only two fit in 6×6)