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The cube of a number n is denoted n 3, using a superscript 3, [a] for example 2 3 = 8. The cube operation can also be defined for any other mathematical expression, for example (x + 1) 3. 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
In geometry, a 10-cube is a ten-dimensional hypercube. It has 1024 vertices , 5120 edges , 11520 square faces , 15360 cubic cells , 13440 tesseract 4-faces , 8064 5-cube 5-faces , 3360 6-cube 6-faces , 960 7-cube 7-faces , 180 8-cube 8-faces , and 20 9-cube 9-faces .
Wooden Dienes blocks in units of 1, 10, 100 and 1000 Plastic Dienes blocks in use. Base ten blocks, also known as Dienes blocks after popularizer Zoltán Dienes (Hungarian: [ˈdijɛnɛʃ]), are a mathematical manipulative used by students to practice counting and elementary arithmetic and develop number sense in the context of the decimal place-value system as a more concrete and direct ...
Semi-log plot of solutions of + + = for integer , , and , and .Green bands denote values of proven not to have a solution.. In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum.
Corner cubie possibilities for even size cubes P (7!) 3 6: 3.67416000000000 × 10 6: Central edge cubie possibilities for odd size cubes, multiplied by 24 Q 24 (12!) 2 10: 1.17719433216000 × 10 13: Edge cubie possibilities for each dual set (12 pairs) R 24! 6.20448401733239 × 10 23: Centre cubie possibilities for each quadruple set (6 groups ...
A cube is a special case of rectangular cuboid in which the edges are equal in length. [1] Like other cuboids, every face of a cube has four vertices, each of which connects with three congruent lines. These edges form square faces, making the dihedral angle of a cube between every two adjacent squares being the interior angle of a square, 90 ...
Also, the square of the n th triangular number is the same as the sum of the cubes of the integers 1 to n. ... 2 / 10 in the third, and 1 / 10 ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.