A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total...

cubic unit. Prince Rupert's cube, named after Prince Rupert of the Rhine, is the largest cube that can pass through a hole cut into the unit cube, despite...

one unit length in the direction perpendicular to the plane it lies on, it will generate a 3-dimensional cube. 4 – If one moves the cube one unit length...

of unit cubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes. The pieces of the Soma cube consist...

unit cube requires the construction of a line segment of length x, where x3 = 2; in other words, x = 2 3 {\displaystyle {\sqrt[{3}]{2}}} , the cube root...

In geometry, Prince Rupert's cube is the largest cube that can pass through a hole cut through a unit cube without splitting it into separate pieces....

plane is a rational distance from all four vertices of the unit square. Unit circle Unit cube Unit sphere Horn, Alastair N. (1991), "IFSs and the Interactive...

mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional...

topologically indistinguishable from the unit cube of countably infinite dimension. Some authors use the term "Hilbert cube" to mean this Cartesian product instead...

a cube root of a number x is a number y that has the given number as its third power; that is y 3 = x . {\displaystyle y^{3}=x.} The number of cube roots...

These overlapping circles can also be seen as a projection of an n-unit cube of spheres in 3-dimensional space, viewed on the diagonal axis. There...

curved and CAT(0) cube complexes appear with increasing significance in geometric group theory. A unit cube (often just called a cube) of dimension n ≥...

geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter...

integer m is a perfect cube if and only if one can arrange m solid unit cubes into a larger, solid cube. For example, 27 small cubes can be arranged into...

have a scalar density function on the unit cube then the volume integral will give the total mass of the cube. For example for density function: { f...

performed Unit angle, a full turn equal to an angle of 1 Unit circle, a circle with a radius of length 1 Unit cube, a cube with sides of length 1 Unit fraction...

general topology, the Tychonoff cube is the generalization of the unit cube from the product of a finite number of unit intervals to the product of an...

processing unit. The console was formally announced under the codename "Dolphin" the following year, and was released in 2001 as the GameCube. It is Nintendo's...

A CubeSat is a class of small satellite with a form factor of 10 cm (3.9 in) cubes. CubeSats have a mass of no more than 2 kg (4.4 lb) per unit, and often...

inhibitory polypeptide Natural killer cell Koniocellular cell Knudsen cell The unit cube of dimension k Kcell, a Kazakhstani mobile phone operator This disambiguation...

as the gallon, quart, cubic inch). The definition of length and height (cubed) is interrelated with volume. The volume of a container is generally understood...

O'Shea Jackson Sr. (born June 15, 1969), known professionally as Ice Cube, is an American rapper, songwriter, actor, and film producer. His lyrics on N...

Poincaré–Miranda theorem, is as follows. Suppose the cube [0,M]n is partitioned into Mn unit cubes. Suppose each vertex is labeled with a binary vector...

instance, the girth of a unit cube in a direction parallel to one of the three coordinate axes is four: it projects to a unit square, which has four as...

created by joining the diagonals of faces of successive cuboids added to a unit cube. The spider and the fly problem — a problem asking the shortest path between...

hexagon with sides of length 1. It is the length of the space diagonal of a unit cube. The vesica piscis has a major axis to minor axis ratio equal to 1 : 3...

American English) is the unit of volume in the International System of Units (SI). Its symbol is m3. It is the volume of a cube with edges one metre in...

_{i=1}^{N}f(x_{i}).} Since we are integrating over the s-dimensional unit cube, each xi is a vector of s elements. The difference between quasi-Monte...

Robbins constant, the average distance between two random points in a unit cube O'Connor, Anahad (18 September 2003). "David Robbins, 61, Unraveler Of...

tetrahedron is a cube, with side length 1/√2 that of the tetrahedron; for instance, a regular tetrahedron with side length √2 fits into a unit cube, with the...