Rotation

Fit irregular, usually interlocking pieces together to rebuild a complete picture and outline.

A dodecahedral twisty puzzle: turn the twelve pentagonal faces until each face is a solid color. Six- or twelve-color schemes are common.

A tetrahedral twisty puzzle: turn layers about the four vertices until each triangular face is a solid color.

A 3D twisty puzzle: turn the layers of a 3×3×3 cube until each face is a solid 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 cube-shaped twisty puzzle that turns about its corners, moving half the cube at a time, until all six faces are solid colors.

Assemble seven irregular cube pieces into a 3×3×3 cube or another prescribed three-dimensional form.

A shape-shifting twisty puzzle: turn the top and bottom layers, flip the middle, and restore both the cube shape and its colors.

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."