Area Partition

Fill every cell with a number so each region of equal numbers has exactly that many cells; regions of the same size may not touch.

A room-shading puzzle: shade cells in bold rooms so each number matches its room’s shaded count. Shaded cells can’t touch side by side, white cells stay connected, and a straight line of white cells spans at most two rooms.

Shade an L, I, T or S shape of four cells in each room so all shaded cells connect, no 2×2 is shaded, and identical shapes never touch.

A shading logic puzzle: form numbered white islands of exact size while painting one connected black wall with no 2×2 black pools.

Shade cells so each circle is a white "cape" with exactly one white neighbor, other white cells have at least two, whites stay connected, and no 2×2 is a single color.

A Japanese seven-piece silhouette puzzle that cuts a square differently from the Chinese Tangram; all seven pieces are used without overlap to match a target outline.

A Nikoli pencil puzzle: place black right triangles in white cells so leftover white regions form rectangles; numbers on black cells count adjacent triangles.

A region-division logic puzzle: partition the grid into rectangles so each contains exactly one clue equal to its area.

A loop logic puzzle: connect dots into one simple closed path whose edges match the 0–3 clues in adjacent cells.

A Chinese seven-piece dissection puzzle in which all pieces are rearranged without overlap to reproduce a silhouette.

A 15-piece Qing-dynasty silhouette puzzle by Tong Yegeng, with some curved pieces. Not the same as the seven-piece Tangram, which is sometimes also called "Yizhi tu."

Fill every cell with a black or white circle so each color forms one connected group and no 2×2 block is all one color.