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Cube Dissection, Robert Reid, Three-Piece Puzzle by lgbu
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Last crawled date: 3 years, 1 month ago
Cube Dissection, Robert Reid, Three-Piece Puzzle
The cube can be dissected (or rather trisected, if you like) in so many ways for puzzles. Here is a Reid dissection that results in three congruent pieces. It takes three copies to make a cube. It is simple to assemble.
To understand the idea behind this Reid dissection, take a 2 x 2 x 2 cube, which has 8 unit cubes. Each unit cube can be dissected into six congruent square-based pyramids. A 2^3 cube therefore has 48 pyramids, which can be divided into 3 groups, each of which is a puzzle piece.
Have fun playing with math and art!
Reference
Reid, Robert. http://www.martinhwatson.co.uk/robert_reid.html
The cube can be dissected (or rather trisected, if you like) in so many ways for puzzles. Here is a Reid dissection that results in three congruent pieces. It takes three copies to make a cube. It is simple to assemble.
To understand the idea behind this Reid dissection, take a 2 x 2 x 2 cube, which has 8 unit cubes. Each unit cube can be dissected into six congruent square-based pyramids. A 2^3 cube therefore has 48 pyramids, which can be divided into 3 groups, each of which is a puzzle piece.
Have fun playing with math and art!
Reference
Reid, Robert. http://www.martinhwatson.co.uk/robert_reid.html
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