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The cube contains a skew regular hexagon, seen as 6 red edges zig-zagging between two planes perpendicular to the cube's diagonal axis. The zig-zagging side edges of a n - antiprism represent a regular skew 2 n -gon, as shown in this 17-gonal antiprism.
In the archaic notation of Robert Recorde, the sixth power of a number was called the "zenzicube", meaning the square of a cube. Similarly, the notation for sixth powers used in 12th century Indian mathematics by Bhāskara II also called them either the square of a cube or the cube of a square. [3]
In the case of three real roots, the square root expression is an imaginary number; here any real root is expressed by defining the first cube root to be any specific complex cube root of the complex radicand, and by defining the second cube root to be the complex conjugate of the first one.
A primitive root of unity, like the complex cube roots of 1; The Wright Omega function; A generic differential form; In number theory, ω(n) is the number of distinct prime divisors of n; In number theory, an arithmetic function; In combinatory logic, the self-application combinator, (λ x. x x) In triangle geometry, a Brocard angle; Clique ...
Square roots of negative numbers are called imaginary because in early-modern mathematics, only what are now called real numbers, obtainable by physical measurements or basic arithmetic, were considered to be numbers at all – even negative numbers were treated with skepticism – so the square root of a negative number was previously considered undefined or nonsensical.
The cube can be represented as the cell, and examples of a honeycomb are cubic honeycomb, order-5 cubic honeycomb, order-6 cubic honeycomb, and order-7 cubic honeycomb. [46] The cube can be constructed with six square pyramids, tiling space by attaching their apices. [47] Polycube is a polyhedron in which the faces of many cubes are attached.
In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3).It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.
The graph of the absolute value function for real numbers The absolute value of a number may be thought of as its distance from zero.. In mathematics, the absolute value or modulus of a real number, denoted | |, is the non-negative value of without regard to its sign.