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Cube with edge length one
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
Unit_cube
Solid with six equal square faces
Platonic solids, associating a cube with the classical element of earth. A cube with unit length is the canonical unit of volume in three-dimensional
Cube
Convex polytope, the n-dimensional analogue of a square and a cube
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
Hypercube
Cube that fits through hole in smaller cube
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.
Prince_Rupert's_cube
Solid-dissection puzzle
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
Soma_cube
Ancient geometric construction problem
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
Doubling_the_cube
Type of topological space
topologically indistinguishable from the unit cube of countably infinite dimension. Some authors use the term "Hilbert cube" to mean this Cartesian product instead
Hilbert_cube
Four-dimensional analogue of the cube
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
Tesseract
Three-dimensional fractal
mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpiński cube, or Sierpiński sponge) is a fractal curve. It is a three-dimensional
Menger_sponge
Number whose cube is a given number
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
Cube_root
Quantity of a three-dimensional space
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
Volume
Square with side length one
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
Unit_square
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
Tychonoff_cube
Topics referred to by the same term
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
Unit
Integral over a 3-D domain
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
Volume_integral
Unique positive real number which when multiplied by itself gives 3
{3}}\end{aligned}}} 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 3 : 1
Square_root_of_3
Process of projecting a 3D object onto a 2D plane
one get undistorted images. The next diagram shows the images of the unit cube for various angles and foreshortenings and gives some hints for how to
Axonometry
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 ≥
Cubical_complex
SI derived unit of volume
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
Cubic_metre
Video game console by Nintendo
Nintendo began developing the GameCube in 1998 after entering a partnership with ArtX to design a graphics processing unit. It was the first Nintendo console
GameCube
Cuboid with all right angles and equal opposite faces
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
Rectangular_cuboid
Theorem on triangulation graph colorings
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
Sperner's_lemma
Geometric pattern used in art
numbers. 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
Overlapping_circles_grid
Number raised to the third power
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
Cube_(algebra)
Relation between surface area and volume as size increases
The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between
Square–cube_law
Numerical integration process
_{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
Quasi-Monte_Carlo_method
Says when a natural number is the sum of three squares of integers
Distances between vertices of a double unit cube are square roots of the first six natural numbers due to the Pythagorean theorem (√7 is not possible
Legendre's three-square theorem
Legendre's_three-square_theorem
Miniature satellite in 10 cm cube modules
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
CubeSat
American rapper and actor (born 1969)
O'Shea Jackson (born June 15, 1969), known professionally as Ice Cube, is an American rapper, songwriter, actor, and filmmaker. His efforts on N.W.A's
Ice_Cube
Sugar packed into a cuboid shape
Sugar cubes (also known as sugar lumps in British English) are white sugar granules pressed into small cubes measuring approximately 1 teaspoon each. They
Sugar_cube
Result in geometry
{\displaystyle T} , we project them to the 0-th coordinate. Each unit cube projects to an integer unit interval on R {\displaystyle \mathbb {R} } . Now define
Loomis–Whitney_inequality
Imperial and US customary (non-metric) unit of volume
customary (non-metric) unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot
Cubic_foot
Geometry problem on tiling by hypercubes
Minkowski lattice cube-tiling conjecture states that whenever a tiling of space by identical cubes has the additional property that the cubes' centers form
Keller's_conjecture
Four squares connected edge-to-edge
the other. Three more tetracubes are possible, all created by placing a unit cube on the bent tricube: The tetracubes can be packed into two-layer 3D boxes
Tetromino
Lines not in the same plane
not coplanar. If four points are chosen at random uniformly within a unit cube, they will almost surely define a pair of skew lines. After the first
Skew_lines
Modular origami module
consists of assemblies of equal size cubes in a regular cubic grid, which can be easily derived from the six unit cube by joining multiple ones at faces
Sonobe
Means of projecting three-dimensional objects in two dimensions
translated so that its center is at the origin, then it is scaled to the unit cube which is defined by having a minimum corner at (−1,−1,−1) and a maximum
Orthographic_projection
Three-dimensional packing puzzle
pieces into a 4 x 4 x 4 cube. There are 19,186 distinct ways of doing so, up to rotations and reflections. The Bedlam cube is one unit per side larger than
Bedlam_cube
Observation tower in Seattle, Washington, U.S.
Collective", depicting a fake proposed land use action "to construct a 666 unit cube to assimilate" the landmark. Other TV appearances include The History
Space_Needle
91 million units. There are a total of 36 GameCube games on this list which are confirmed to have sold or shipped at least one million units. Of these
List of best-selling GameCube video games
List_of_best-selling_GameCube_video_games
Algorithms in computational geometry
{2}}} fits into a unit cube, with the tetrahedron's vertices lying at the vertices (0,0,0), (0,1,1), (1,0,1) and (1,1,0) of the unit cube. Smallest enclosing
Minimum bounding box algorithms
Minimum_bounding_box_algorithms
refer to the unit line segment and unit square respectively. For the three-dimensional case, the mean line segment length of a unit cube is also known
Mean_line_segment_length
Type of technical drawing
may be construed as forming some oblique perspective of three sides of a cube. This result is known as Pohlke's theorem, from the German mathematician
Oblique_projection
Base-16 numeric representation
33: "In expressing time, angle of a circle, or points on the compass, the unit tim should be noted as integer, and parts thereof as tonal fractions, as
Hexadecimal
Positive real number which when multiplied by itself gives 6
double cube, as illustrated above. The square roots of all lower natural numbers appear as the distances between other vertex pairs in the double cube (including
Square_root_of_6
Array of nonnegative integers in combinatorics
visually by the placement of a stack of π i , j {\displaystyle \pi _{i,j}} unit cubes above the point (i, j) in the plane, giving a three-dimensional solid
Plane_partition
1995 studio album by Mack 10
album was produced by Ice Cube, the 88X Unit, Dr. Jam, Madness 4 Real, and Crazy Toones. It features guest appearances from Ice Cube, WC, and K-Dee. The album
Mack_10_(album)
Unit of cargo capacity
The twenty-foot equivalent unit (abbreviated TEU or teu) is a general unit of cargo capacity, often used for container ships and container ports. It is
Twenty-foot_equivalent_unit
Personal computer produced by Apple Inc. from 2000 to 2001
commercial failure, with only 150,000 units sold before production was suspended within one year of its announcement. The Cube is one of the rare failures for
Power_Mac_G4_Cube
Convex polytope whose vertices all have integer Cartesian coordinates
zeros in all remaining coordinates. The n {\displaystyle n} -dimensional unit cube in R n {\displaystyle \mathbb {R} ^{n}} has as its vertices all integer
Integral_polytope
Handheld electronic game series
Cube World was released as 22 different models across six series. Some units in each series were released as a 'Special Edition', in which the cubes were
Cube_World_(toy)
divided into unit cubes, offset by half a unit from the integer grid aligned with the prism sides, then these cubes together with the unit cube voids of the
Tetrastix
Israeli private intelligence and cyber-espionage firm
members of Israeli intelligence units. In the past, it has supported Israel Defense Forces (IDF) activities. Black Cube provides intelligence, evidence
Black_Cube
Number associated with symmetric convex bodies
This was first proven by Nazarov, Petrov, Ryabogin, and Zvavitch for the unit cube, and later generalized to all Hanner polytopes by Jaegil Kim. The Mahler
Mahler_volume
× 6 m × 0.5 m from which all other units could be derived. The Neo-Sumerians continued use of the royal gur-cube as indicated by the Letter of Nanse
Ancient Mesopotamian units of measurement
Ancient_Mesopotamian_units_of_measurement
Theorem in functional analysis
optimization problem over the unit cube? More generally, we can ask similar questions over convex bodies other than the unit cube. For instance, the following
Grothendieck_inequality
Archimedean solid with 14 faces
truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and δS +1, where δS is the silver ratio, √2 +1. The truncated cube is
Truncated_cube
Perimeter of a 3D object's parallel projection in a given direction
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
Girth_(geometry)
Imperial unit of volume
customary (non-SI non-metric) unit of volume used in Canada and the United States. It is defined as the volume of a cube with sides of 1 yard (3 feet,
Cubic_yard
Learning aid for mathematics
different colours to Cuisenaire's, and also larger, with a 2 cm (0.8 in) unit cube rather than 1 cm (0.4 in). She produced various resources to complement
Cuisenaire_rods
Metric unit of mass
defined in 1795 as "the absolute weight of a volume of pure water equal to the cube of the hundredth part of a metre [1 cm3], and at the temperature of melting
Gram
Unit of volume
du cube de la dixièrne partie du mètre. English translation: "Litre: unit of capacity for both liquids and solids which will be equivalent to a cube of
Litre
Concept in political science
The cube root law is an observation in political science that the number of members of a unicameral legislature, or of the lower house of a bicameral legislature
Cube_root_law
Six-pointed star polygon
the cube form a hexagram. For example, consider the projection of the unit cube with vertices at the eight possible binary vectors in three dimensions:
Hexagram
a subdivision of space into unit cubes, and then repeatedly remove any cube exterior to the given set, subdivide any cube that contains both interior
Whitney_covering_lemma
Pseudorandom number generator
of LCGs, this shows that RANDU is terrible: using RANDU for sampling a unit cube will only sample 15 parallel planes, not even close to the upper limit
RANDU
Generalization of volume to non-integer number of dimensions
\lambda _{d}} , which is normalized so that the Lebesgue measure of the unit cube [0,1]d is 1. In fact, for any Borel set E, λ d ( E ) = 2 − d α d H d (
Hausdorff_measure
Topological space
differs from the open set (0,1)n by a set of measure zero, or the closed unit cube [0,1]n, whose boundary consists of the points whose orbit has more than
Fundamental_domain
Measure of complexity of real-valued functions
square, so it has Rademacher complexity 1 / 4 {\displaystyle 1/4} . The unit cube [ 0 , 1 ] m {\displaystyle [0,1]^{m}} has constant width m {\displaystyle
Rademacher_complexity
Positive real number which when multiplied by itself gives 5
traversing the cube surface, is 5 {\displaystyle {\sqrt {5}}} . By contrast, the shortest distance when traversing through the inside of the cube corresponds
Square_root_of_5
within the polytope. For example, this property is true of the unit cube, so the unit cube is a distributive polytope. It is called a distributive polytope
Distributive_polytope
Video compression semiconductor company
C-Cube Microsystems, Inc., was an early company in video compression technology as well as the implementation of that technology into semiconductor integrated
C-Cube
Geometric theorem
invariant with respect to Euclidean motions and takes the value one on a unit cube. In his later work, Tarski showed that, conversely, nonexistence of paradoxical
Banach–Tarski_paradox
Relation of habitat temperature and limb length
eight unit cubes. A composite cube with a side of 2 has a volume of 8 units3 but a surface area of only 24 units2. A rectangular prism three cubes wide
Allen's_rule
American physicist (1910–1989)
1954.tb03742.x. ISSN 0005-8580. Sze, S. M.; Shockley, W. (May 6, 1967). "Unit-Cube Expression for Space-Charge Resistance". Bell System Technical Journal
William_Shockley
Catalan solid with 24 faces
pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube. In crystallography it is also called a gyroid. It has two distinct forms
Pentagonal_icositetrahedron
Topics referred to by the same term
cell may refer to: N battery k {\displaystyle k} -cell (mathematics) The unit cube of dimension n {\displaystyle n} N cell located in the small intestine
N_cell
Unit hypercube of variable dimension whose corners have been perturbed
The Klee–Minty cube or Klee–Minty polytope (named after Victor Klee and George J. Minty) is a unit hypercube of variable dimension whose corners have
Klee–Minty_cube
Generalization of a rectangle for higher dimensions
{\displaystyle k} -cell need not be equal in (Euclidean) length; although the unit cube (which has boundaries of equal Euclidean length) is a 3-cell, the set
Hyperrectangle
Generalized sphere of dimension n (mathematics)
the unit n {\displaystyle n} -ball. This method becomes very inefficient for higher dimensions, as a vanishingly small fraction of the unit cube is
N-sphere
Archimedean solid with 38 faces
\end{aligned}}} To get a snub cube with unit edge length, divide all the coordinates above by the value α given above. For a snub cube with edge length a {\displaystyle
Snub_cube
Unit of length 1/1000 of a metre
Cubic millimetre – U+33A3 ㎣ SQUARE MM CUBED These symbols are often used in Japanese typography to align unit symbols with text characters. On a standard
Millimetre
Discrete (i.e., incremental) version of infinitesimal calculus
I_{d}} are elementary intervals. Equivalently, an elementary cube is any translate of a unit cube [ 0 , 1 ] n {\displaystyle [0,1]^{n}} embedded in Euclidean
Discrete_calculus
7-cube, Rectified 7-cube, 7-cube, Truncated 7-cube, Cantellated 7-cube, Runcinated 7-cube, Stericated 7-cube, Pentellated 7-cube, Hexicated 7-cube 7-orthoplex
List_of_mathematical_shapes
American puzzle designer (1939–2022)
the “Rubik's Cube”, Dr. Nichols conceived of a twist cube puzzle with six colored faces. It was a 2×2×2 cube assembled from eight unit cubes with magnets
Larry_D._Nichols
Swiss satellite launched in 2009
SwissCube-1 is a Swiss satellite operated by École Polytechnique Fédérale de Lausanne (EPFL). The spacecraft is a single unit CubeSat, which was designed
SwissCube-1
Mathematical foam of equal-volume bubbles
structure to the Weaire–Phelan structure can be made as a tiling of space by unit cubes, lined up face-to-face into infinite square prisms in the same way to
Weaire–Phelan_structure
Computation method named after Paul Peter Ewald
periodic boundary condition. To visualize this most clearly, think of a unit cube; the upper face is effectively in contact with the lower face, the right
Ewald_summation
instance, by choosing halfspaces that contain all but one vertex of the unit cube. Another way of phrasing the result is that the Helly number of convex
Doignon's_theorem
Type of plastics manufacturing process
This technology was introduced by Foboha (a business unit of Barnes Group) and Arburg. The cube mold technology is characterized by components that rotate
Cube_mold_technology
Continuous, position-preserving mapping from a topological space into a subspace
space R n , {\textstyle \mathbb {R} ^{n},} the unit cube I n , {\textstyle I^{n},} and the Hilbert cube I ω {\textstyle I^{\omega }} are ARs. ANRs form
Retraction_(topology)
Topics referred to by the same term
intestinal cells Natural killer cell Koniocellular cell Knudsen cell The unit cube of dimension k Kcell, a Kazakhstani mobile phone operator This disambiguation
K_cell
Unique positive real number which when multiplied by itself gives 2
root of 2 is the length of a diagonal across a square with sides of one unit of length; this follows from the Pythagorean theorem. It was probably the
Square_root_of_2
Minkowsi sum of line segments
178, 211-211. McMullen, Peter (1984-05-01). "Volumes of Projections of unit Cubes". Bulletin of the London Mathematical Society. 16 (3): 278–280. doi:10
Zonotope
In graph theory, the mathematically simplest spatial network
between the processing units. The approach used in this algorithm is similar to the approach in Holtgrewe: Partition the unit cube into equal sized chunks
Random_geometric_graph
Double-unit ("2-U") CubeSats (10x10x20 cm) are foreseen, with one unit (the 'functional' unit) providing the usual satellite functions and the other unit (the
List_of_CubeSats
Hungarian inventor (born 1944)
began marketing it. By 1980, Rubik's Cube was marketed throughout the world, and over 100 million authorized units, with an estimated 50 million unauthorized
Ernő_Rubik
Base-8 numeral representation
number; since it is divisible into halves, quarters, and half quarters (or units) without a fraction, of which subdivision ten is uncapable...." In a later
Octal
Geometric shape formed from five squares
without gaps. Since each pentacube has a volume of 5 unit cubes, the box must have a volume of 60 units. Possible sizes are 2×3×10 (12 solutions), 2×5×6 (264
Pentomino
South Korean company
Cube Entertainment, Inc. (Korean: 주식회사 큐브엔터테인먼트, stylised as CUBE Entertainment) is a South Korean entertainment company. The company operates as a record
Cube_Entertainment
UNIT CUBE
UNIT CUBE
Female
Welsh
Variant spelling of Welsh Enid, ENIT means "soul."
Girl/Female
Irish English
Together.
Girl/Female
Hebrew
Light.
Boy/Male
Hindu
Joyful unending, Calmness
Girl/Female
American, British, English, Irish
Fair
Boy/Male
Indian
Who Won Every Time
Female
Hebrew
(×וּרִית) Hebrew name URIT means "fire, light."
Boy/Male
Muslim/Islamic
Unit of army
Female
English
English name derived from the vocabulary word, UNITY means "oneness, unity."
Boy/Male
Indian
Progress
Male
English
Variant spelling of English Unni, UNI means "afflicted, depressed."
Boy/Male
Hindu
Pure or holy
Boy/Male
Muslim
Unit of army
Boy/Male
Indian
Unit of army
Boy/Male
Hindu
Knower of virtues, Talented, Excellent, Virtuous
Female
Egyptian
, Anahita ("pure, spotless").
Boy/Male
Bengali, English, Hindu, Indian
Dark Blue
Girl/Female
Hebrew
Graceful.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Telugu
Holy; Untouched; Good; Pure
Boy/Male
Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Tamil, Telugu
Grown; Awakened; Shining
UNIT CUBE
UNIT CUBE
Boy/Male
Tamil
The Lord
Boy/Male
Muslim/Islamic
Beautiful handsome, intelligent, protected by Allah,self confidence, respectful
Girl/Female
Hindu
Vanquisher of ailments
Girl/Female
Muslim
Fem of manar: light-house
Boy/Male
Muslim
A hardwood tree
Girl/Female
Hindu
Wife of Manu, Born of Man
Girl/Female
Indian
Rich, Wealthy, Prosperous
Boy/Male
American, Armenian, British, Danish, English, French, German, Hawaiian, Hebrew, Hindu, Indian, Italian, Jewish, Swedish, Swiss
God has Healed; Healed by God
Surname or Lastname
English
English : nickname from Middle English boggish ‘boastful’, ‘haughty’ (a word of unknown origin, perhaps akin to Germanic bag and bug, with the literal meaning ‘swollen’, ‘puffed up’). The name (in the forms Boge(y)s, Boga(y)s) is found in the 12th century in Yorkshire and East Anglia, and also around Bordeaux, which had trading links with East Anglia.
Surname or Lastname
Altered spelling of Danish Endersen, a patronymic from the personal name Endricht, probably of Low German or Frisian origin.Altered spelling of Norwegian Endresen, a common patronymic from Endre, from the Old Norse personal name Eindri{dh}i, composed of t
Altered spelling of Danish Endersen, a patronymic from the personal name Endricht, probably of Low German or Frisian origin.Altered spelling of Norwegian Endresen, a common patronymic from Endre, from the Old Norse personal name Eindri{dh}i, composed of the elements ein ‘one’, ‘sole’ + ri{dh}i ‘rider’.English : variant of Anderson, a patronymic from the personal name Anders.
UNIT CUBE
UNIT CUBE
UNIT CUBE
UNIT CUBE
UNIT CUBE
v. t.
To unite closely; to connect; to engage; as, hearts knit together in love.
v. t.
To knit or bind together; to unite closely.
n.
The number greater by a unit than two; three units or objects.
n.
The number greater by a unit than seven; eight units or objects.
n.
The number greater by a unit than seventeen; eighteen units or objects.
v. t.
United; joint; as, unite consent.
n.
The number greater than eight by a unit; nine units or objects.
v. t.
To unite.
n.
A single thing, as a magnitude or number, regarded as an undivided whole.
v. t.
To form, as a textile fabric, by the interlacing of yarn or thread in a series of connected loops, by means of needles, either by hand or by machinery; as, to knit stockings.
v. t.
To knit together; to unite closely; to intertwine.
n.
Any definite quantity, or aggregate of quantities or magnitudes taken as one, or for which 1 is made to stand in calculation; thus, in a table of natural sines, the radius of the circle is regarded as unity.
imp. & p. p.
of Knit
n.
Any one of numerous species of fresh-water mussels belonging to Unio and many allied genera.
v. i.
To be united closely; to grow together; as, broken bones will in time knit and become sound.
a.
Of or pertaining to a unit or units; relating to unity; as, the unitary method in arithmetic.
v. t.
To remove the turns of (a rope or cable) from the bits; as, to unbit a cable.
n.
Concord; harmony; conjunction; agreement; uniformity; as, a unity of proofs; unity of doctrine.
v. t.
To put together so as to make one; to join, as two or more constituents, to form a whole; to combine; to connect; to join; to cause to adhere; as, to unite bricks by mortar; to unite iron bars by welding; to unite two armies.
v. t.
To unite closely; to knit together.