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  2. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Squarecube_law

    For example, a cube with a side length of 1 meter has a surface area of 6 m 2 and a volume of 1 m 3. If the sides of the cube were multiplied by 2, its surface area would be multiplied by the square of 2 and become 24 m 2. Its volume would be multiplied by the cube of 2 and become 8 m 3.

  3. Squared triangular number - Wikipedia

    en.wikipedia.org/wiki/Squared_triangular_number

    A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. From Gulley (2010).The n th coloured region shows n squares of dimension n by n (the rectangle is 1 evenly divided square), hence the area of the n th region is n times n × n.

  4. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 = −(n 3). The volume of a geometric cube is the cube of its side length, giving rise to the

  5. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. This shows that the square of the n th triangular number is equal to the sum of the first n cube numbers. Also, the square of the n th triangular number is the same as the sum of the cubes of the integers 1 to n.

  6. Tesseract - Wikipedia

    en.wikipedia.org/wiki/Tesseract

    In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1] Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles.

  7. Pillow Cube review: Is it a game changer for side sleepers? - AOL

    www.aol.com/news/pillow-cube-review-game-changer...

    The Side Cube ($69.99), also called the Side Sleeper Pillow, measures 12 x 24 x 5 inches, comes in a square, prism-like shape and is the brand’s bestselling product. It has a flexible and porous ...

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