Cube Dissection, Robert Reid, Three-Piece Puzzle

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The cube can be dissected in many ways to create puzzles, including a Reid dissection that results in three congruent pieces. Three copies are needed to assemble the cube, which is surprisingly simple. To understand this Reid dissection, imagine a 2 x 2 x 2 cube made up of 8 unit cubes. Each unit cube can be divided into six congruent square-based pyramids. A 2^3 cube therefore has 48 pyramids that can be grouped into three puzzles pieces. Playing with math and art is a great way to have fun, and this Reid dissection is a fascinating example of how different shapes can fit together perfectly.