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Generalization of a magic square
In mathematics, a magic hypercube is the k-dimensional generalization of magic squares and magic cubes, that is, an n × n × n × ... × n array of integers
Magic_hypercube
Mathematical concept
Magic hypercube Magic series Magic square Multimagic cube Nasik magic hypercube Perfect magic cube Semiperfect magic cube W., Weisstein, Eric. "Magic
Magic_cube
Square of numbers with equal row, column and diagonal totals
classes Magic polygon Magic series Square matrices Most-perfect magic square Nasik magic hypercube Prime reciprocal magic square Room square Sigil (magic) Sriramachakra
Magic_square
Magic cube with extra constraints
which all possible lines through each cell sum to the magic constant. The name Nasik magic hypercube is another, unambiguous, name for such a cube. This
Perfect_magic_cube
Categories of number cubes
consistent for all orders and all dimensions of magic hypercubes. Simple: The minimum requirements for a magic cube are: all rows, columns, pillars, and 4
Magic_cube_classes
Constant used in a magic square
org/view/generic/id/7485/description/Magic_Square_Physics/ 260 as a magic constant for the 8-queens problem and 8x8 magic square Hypercube Math formulae
Magic_constant
- Magic hypercubes encyclopedia Harvey Heinz - large site on magic squares and cubes Christian Boyer - Multimagic cubes John Hendricks site on magic hypercubes
Simple_magic_cube
squares Magic cube Perfect magic cube Semiperfect magic cube Bimagic cube Trimagic cube Multimagic cube Magic hypercube Magic constant Squaring the square
List of recreational number theory topics
List_of_recreational_number_theory_topics
Topics referred to by the same term
Pandiagonal magic cube Pantriagonal magic cube Perfect magic cube Semiperfect magic cube Simple magic cube Magic hypercube Magic square This disambiguation page
Magic_cube_(disambiguation)
Canadian mathematician
was a Canadian amateur mathematician notable for his work in magic squares and hypercubes. He published many articles in the Journal of Recreational Mathematics
John_R._Hendricks
Magic cube with extra constraints
indicate the order of the magic hypercube. However, in recent years, due to the increasing emphasis on higher dimension hypercubes, there is a trend to use
Diagonal_magic_cube
Geometric space with five dimensions
dimensions. 5-cube — also called a penteract, a specific five-dimensional hypercube. Hypersphere — the generalization of a sphere to higher dimensions, including
Five-dimensional_space
Solid with six equal square faces
which all six quadrilateral faces are squares. It is a three-dimensional hypercube, a family of polytopes that also includes the two-dimensional square and
Cube
magichypercubes.com/Encyclopedia/ Aale de Winkel: Magic Encyclopedia http://members.shaw.ca/hdhcubes/cube_perfect.htm Harvey Heinz: Perfect Magic Hypercubes
Pantriagonal_magic_cube
Canadian actor, comedian, writer and motivational speaker (born 1960)
Prairie, Jerry Whitehall in Cube 2: Hypercube and the voices of Gordon, Diesel 10 and Splatter in Thomas and the Magic Railroad (2000). Crone reprised his
Neil_Crone
Magic cube with extra constraints
Hendricks, J.R.; Perfect n-Dimensional Magic Hypercubes of Order 2n, Self-published 1999. ISBN 0-9684700-4-1 Harvey Heinz: All about magic cubes v t e
Pandiagonal_magic_cube
Line connecting two vertices that are not on the same face
Springer-Verlag, p. 173, 1994. Weisstein, Eric W. "Space Diagonals". MathWorld. de Winkel Magic Encyclopedia Heinz - Basic cube parts John Hendricks Hypercubes
Space_diagonal
Retrieved 2 April 2017. "Hyperspeedcube - Hypercubing". hypercubing.xyz. Retrieved 9 December 2024. "Magic Cube 4D". Superliminal. Retrieved 2023-01-09
List of four-dimensional games
List_of_four-dimensional_games
Cube that fits through hole in smaller cube
n} -dimensional hypercube also has the Rupert property. Moreover, one may ask for the largest m {\displaystyle m} -dimensional hypercube that may be drawn
Prince_Rupert's_cube
Shape with four equal sides and angles
regular polytopes that includes the cube in three dimensions and the hypercubes in higher dimensions, and to another family that includes the regular
Square
Paper-and-pencil game for two players
ISBN 978-3-319-13560-1. Golomb, Solomon W.; Hales, Alfred W. (2002). "Hypercube tic-tac-toe" (PDF). More Games of No Chance (Berkeley, CA, 2000). Math
Tic-tac-toe
American mathematics and science writer (1914–2010)
Oulipo. Salvador Dalí once sought him out to discuss four-dimensional hypercubes. David Auerbach wrote: "A case can be made, in purely practical terms
Martin_Gardner
Educational foundation in Atlanta, Georgia, U.S.
perform a magic trick, or share a puzzle or recreational mathematics problem with friends. G4G participants working on creating the G4G hypercube logo from
Gathering_4_Gardner
Quantum algorithm
step. This is an example of how to apply the quantum walk search on a hypercube graph. Although in the original description Szegedy quantum walks are
Quantum_walk_search
Centered figurate number that represents a triangle with a dot in the center
sum of the first n centered triangular numbers is the magic constant for an n by n normal magic square. The centered triangular numbers can be expressed
Centered_triangular_number
Generalization of the Rubik's Cube in n-dimensions
archived[link removed] 9 July 2012. "3×3×3 with 1D Vision in 15:45.39 by Markk - Hypercubing Leaderboards". H. J. Kamack and T. R. Keane, The Rubik Tesseract, available
N-dimensional sequential move puzzle
N-dimensional_sequential_move_puzzle
Russian esotericist (1878–1947)
rendered into English by Bragdon, who had incorporated his own design of the hypercube into the Rochester Chamber of Commerce building. Bragdon also published
P._D._Ouspensky
Items in the Marvel Cinematic Universe
film, presuming that the object was an "all-carbon nano-tesseract or hypercube projected into 3D space". A study published in 2020 focused on the ability
Infinity_Stones
longest possible induced path in an n {\displaystyle n} -dimensional hypercube graph? Sumner's conjecture: does every ( 2 n − 2 ) {\displaystyle (2n-2)}
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
DC Comics supervillain
promises him unlimited power. He takes a Mother Box and a "Sensory Matrix Hypercube" to transform Earth into a New Apokolips and takes Superman as his prize
Darkseid
Williams and Jim Denney (2004). How to Be Like Walt: Capturing the Disney Magic Every Day of Your Life. HCI. p. 133. ISBN 978-0-7573-0231-2. "Around Is
Firsts_in_animation
Magazine 53 (1980) 202–216. Golomb, Solomon W.; Hales, Alfred W. (2002), "Hypercube tic-tac-toe", More games of no chance (Berkeley, CA, 2000), Math. Sci
Tic-tac-toe_variants
Works of American writer (1914–2010)
Mathematical Association of America, 1992. Reprint forthcoming as Sprouts, Hypercubes, and Superellipses: Martin Gardner's Mathematical Carnival, (Series: The
Martin_Gardner_bibliography
Any of the five regular polyhedra
only three convex regular polytopes: the simplex as {3,3,...,3}, the hypercube as {4,3,...,3}, and the cross-polytope as {3,3,...,4}. In three dimensions
Platonic_solid
Ordering of binary values, used for positioning and error correction
in Scientific American. The code also forms a Hamiltonian cycle in a hypercube graph, of length 2 d . {\displaystyle 2^{d}.} When the French engineer
Gray_code
Square array with symbols that each occur once per row and column
the other, each ordered pair of symbols appears exactly once. A Latin hypercube is a generalization of a Latin square from two dimensions to multiple
Latin_square
Centered figurate number that represents an octagon with a dot in the center
identically zero. Octagonal number Teo, Boon K.; Sloane, N. J. A. (1985), "Magic numbers in polygonal and polyhedral clusters" (PDF), Inorganic Chemistry
Centered_octagonal_number
Parallel programming model
reduce built in. The tree-like approach that the Connection Machine's hypercube architecture uses to execute reduce in O ( log n ) {\displaystyle O(\log
MapReduce
Natural number
There are exactly 743 independent sets in a four-dimensional (16 vertex) hypercube graph, and exactly 743 connected cubic graphs with 16 vertices and girth
700_(number)
Arrangement of spheres within a space
conjectural values are known for larger n. Sphere packing on the corners of a hypercube (with Hamming balls, spheres defined by Hamming distance) corresponds
Sphere_packing
English electronic music artist (born 1983)
re-listening to the originals. In March 2025, Fake released the single "Hypercube" on Cambria Instruments; sounds from the track formed the basis of a sample
Nathan_Fake
The edge length of the largest cube that can pass through a 4D hypercube 1966 ✗ ✓ ✓ Lieb's square ice constant 1.53960 07178 39002 03869 ( 4 3
List of mathematical constants
List_of_mathematical_constants
1907 painting by Pablo Picasso
popularization of Poincaré's Science and Hypothesis in which Jouffret described hypercubes and other complex polyhedra in four dimensions and projected them onto
Les_Demoiselles_d'Avignon
Three-dimensional figurate centered icosahedral numbers
they represent points arranged in the shape of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number
Centered_icosahedral_number
Faster-than-light travel in science fiction
portals rather than vehicles, is usually explained through the existence of magic. While mainly designed as means of fast space travel, occasionally, some
Hyperspace
Canadian actress
Three to Tango Jenny Novak 2002 Men with Brooms Eva Foley 2002 Cube 2: Hypercube Mrs. Paley 2002 Three and a Half Mika, Cruella, Landlord's Wife 2004 Gone
Barbara_Gordon_(actress)
Present Version 1.15.0+ only Prime Japanese Edition version 1.11.0+ only Hypercube 하이퍼큐브 MAX Present Version 1.12.0+ only Prime Japanese Edition version
List_of_Pump_It_Up_songs
Interpretations of extra dimensions
use of possibilities opened up by the exploration of such concepts as hypercube geometry. Some writers took the fourth dimension to be one of time, which
Fourth dimension in literature
Fourth_dimension_in_literature
Geometric shape formed from squares
generalized to higher dimensions by joining cubes to form polycubes, or hypercubes to form polyhypercubes. In statistical physics, the study of polyominoes
Polyomino
Number of close-packed spheres in an octahedron
numbers of atoms in octahedral clusters; in this context they are called magic numbers. An octahedral packing of spheres may be partitioned into two square
Octahedral_number
Number that represents a hexagon with a dot in the center
E. Figure control for a segmented telescope mirror. United States: N. p., 1979. Web. doi:10.2172/6194407. Hexagonal number Magic hexagon Star number
Centered_hexagonal_number
Cuban (2019) Cuban Rebel Girls (1959) Cube series: Cube (1997) Cube 2: Hypercube (2002) Cube Zero (2004) Cuckoo (2009, 2014, & 2024) The Cuckoo (2002)
List_of_films:_C
defeat the villain Goldmember – who is working with Dr. Evil. 2002 Cube 2: Hypercube Andrzej Sekuła A group of strangers mysteriously awakens in a giant cubic
List of time travel works of fiction
List_of_time_travel_works_of_fiction
Mathematical problem
at cut-the-knot Anything but square: from magic squares to Sudoku Historical facts and correlation with Magic Squares, Javascript Application to solve
Mutually orthogonal Latin squares
Mutually_orthogonal_Latin_squares
Centered figurate number that counts points in a three-dimensional pattern
(1–2): 295–307, MR 1355130. O'Shea, Owen; Dudley, Underwood (2007), The Magic Numbers of the Professor, MAA Spectrum, Mathematical Association of America
Centered_cube_number
one of the three reality-bending creators of chaos that were trapped in hypercubes one millennium ago and scattered across the cosmos. Armaggon (voiced by
List of Teenage Mutant Ninja Turtles (2012 TV series) characters
List_of_Teenage_Mutant_Ninja_Turtles_(2012_TV_series)_characters
Visual effects supervisor and producer
Girl (2002) (producer) Ararat (2002) (visual effects supervisor) Cube2: Hypercube (2002) (visual effects producer) Blizzard (2003) (visual effects supervisor)
Dennis_Berardi
the Dead (1999) (V) Candyman (2021) (retcon) Cube Cube (1997) Cube 2: Hypercube (2002) Cube Zero (2004) (prequel) Cube (2021) (remake) Cabin Fever Cabin
List of feature film series with four entries
List_of_feature_film_series_with_four_entries
Japanese voice actor (1928–2017)
Robert Duvall The Crucible Judge Thomas Danforth Paul Scofield Cube 2: Hypercube Colonel Thomas H. Maguire Bruce Gray Dave Bob Alexander Frank Langella
Tamio_Ōki
depicts the cross of Christ as an unfolded three-dimensional net for a hypercube, also known as a tesseract: the unfolding of a tesseract into these eight
Mathematics_and_art
Attempt to demonstrate the 4th dimension in visual arts
popularization of Poincaré's Science and Hypothesis in which Jouffret described hypercubes and other complex polyhedra in four dimensions and projected them onto
Fourth_dimension_in_art
Charts of molecules
model (with electron spin and the Madelung principle), which provides the magic-number elements that end each row of the table and gives the number of elements
Periodic systems of small molecules
Periodic_systems_of_small_molecules
The Corruptor 1999 Crash 1996 Cruel Intentions 1999 Cube 1997 Cube 2: Hypercube 2002 Dark Water 2005 Dawn of the Dead 2004 Dead Ringers 1988 Death to
List_of_films_shot_in_Toronto
Harvey Crushed 2010 Patrick Johnson Cube 1997 Vincenzo Natali Cube 2: Hypercube 2002 Andrzej Sekuła Cube Zero 2004 Ernie Barbarash Cujo 1983 Lewis Teague
List of films broadcast by Horror Channel
List_of_films_broadcast_by_Horror_Channel
Micro-electronic component
from traditional distributed computing network topologies such as torus, hypercube, meshes and tree networks to genetic algorithm scheduling to randomized
System_on_a_chip
American artist and professor (1927–2009)
matter.” Forakis embarked on his lifelong exploration of the cube and hypercube along with Four-Dimensional theories. Since the late 1950s Peter Forakis
Peter_Forakis
American mathematician (1935–2020)
1007/s00493-008-2375-0. MR 2488748. S2CID 3212684. Chung, Fan R. K. (1989). "Pebbling in hypercubes". SIAM Journal on Discrete Mathematics. 2 (4): 467–472. doi:10.1137/0402041
Ronald_Graham
French mathematician (1843–1913)
Mathématiciens. 5: 266–267. "From Latin Squares to Sudoku: A History of Magic Numbers". Archived from the original on 2008-10-01. "36 Officer Problem"
Gaston_Tarry
September 23, 2023. Retrieved September 23, 2023. "The Wrong Way to Use Healing Magic Anime's Subtitled Trailer Introduces Atsuko Tanaka in Cast, Elements Garden's
Atsuko_Tanaka_filmography
American musician
Maximus Part Deux (2024) String Quartet #1 (1999-2022) String Quartet #2: Hypercube, for Polytempic Polymicrotonal Strings (2012) String Quartet #3 (2013)
Peter_Thoegersen
Expediter II). A similar program, "The Pascal Patch", was sold by Micro Magic. It allowed the AD8088 to speed up math functions in Apple's Pascal programming
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