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  2. Centered cube number - Wikipedia

    en.wikipedia.org/wiki/Centered_cube_number

    A centered cube number is a centered figurate number that counts the points in a three-dimensional pattern formed by a point surrounded by concentric cubical layers of points, with i 2 points on the square faces of the i th layer.

  3. Centered icosahedral number - Wikipedia

    en.wikipedia.org/wiki/Centered_icosahedral_number

    In mathematics, the centered icosahedral numbers also known as cuboctahedral numbers are a sequence of numbers, describing two different representations for these numbers as three-dimensional figurate numbers. As centered icosahedral numbers, they are centered numbers representing points arranged in the shape of a regular icosahedron.

  4. 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 nth coloured region shows n squares of dimension n by n (the rectangle is 1 evenly divided square), hence the area of the nth region is n times n x n.

  5. Cube (algebra) - Wikipedia

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

    In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n.

  6. Icosahedral number - Wikipedia

    en.wikipedia.org/wiki/Icosahedral_number

    The first study of icosahedral numbers appears to have been by René Descartes, around 1630, in his De solidorum elementis. Prior to Descartes, figurate numbers had been studied by the ancient Greeks and by Johann Faulhaber , but only for polygonal numbers , pyramidal numbers , and cubes .

  7. Puzzle solutions for Wednesday, Dec. 4, 2024

    www.aol.com/news/puzzle-solutions-wednesday-dec...

    Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers.

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