Menger Mixed cube

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The Menger Cube is a three-dimensional geometric shape that consists of 27 smaller cubes, each one-eighth the size of the original cube. It was created by Hungarian mathematician Viktor Menger in 1909 as a counterexample to the idea that volume and surface area are directly proportional. To create a Menger Cube, you start with a large cube, then remove the six outer layer cubes from each face, leaving only the inner cubes. This process is repeated for each of the remaining cubes, resulting in a shape composed of ever-smaller cubes. The Menger Cube has several unique properties, including its fractal nature and the fact that it has a finite volume but infinite surface area. The Menger Cube's design has inspired various artistic and architectural applications, from sculptures to building facades. Its intricate structure has also been used in computer graphics and other fields where complex geometric shapes are needed.