A
Cube of more than three dimensions. A single (2^0 = 1) point (or "node")
Can be
Considered as a zero dimensional
Cube, two (2^1) nodes joined by a line (or "edge") are a one dimensional
Cube, four (2^2) nodes arranged in a square are a two dimensional
Cube and eight (2^3) nodes are an ordinary three dimensional
Cube.
Continuing this geometri
C progression, the first hyper
Cube has 2^4 = 16 nodes and is a four dimensional shape (a "four-
Cube") and an N dimensional
Cube has 2^N nodes (an "N-
Cube"). To make an N+1 dimensional
Cube, take two N dimensional
Cubes and join ea
Ch node on one
Cube to the
Corresponding node on the other. A four-
Cube
Can be visualised as a three-
Cube with a smaller three-
Cube
Centred inside it with edges radiating diagonally out (in the fourth dimension) from ea
Ch node on the inner
Cube to the
Corresponding node on the outer
Cube. Ea
Ch node in an N dimensional
Cube is dire
Ctly
Conne
Cted to N other nodes. We
Can identify ea
Ch node by a set of N
Cartesian Coordinates where ea
Ch
Coordinate is either zero or one. Two node will be dire
Ctly
Conne
Cted if they differ in only one
Coordinate. The simple, regular geometri
Cal stru
Cture and the
Close relationship between the
Coordinate system and binary numbers make the hyper
Cube an appropriate topology for a parallel
Computer inter
Conne
Ction network. The fa
Ct that the number of dire
Ctly
Conne
Cted, "nearest neighbour", nodes in
Creases with the total size of the network is also highly desirable for a
parallel Computer. (1994-11-17)
In addition suitable Contents:
[ 2 ] [ = ] [ ad ] [ ag ] [ al ] [ am ] [ an ] [ app ] [ ar ] [ arC ] [ as ] [ at ] [ b ] [ be ] [ bi ] [ binary ] [ bo ] [ by ] [ C ] [ Ca ] [ Cartesian Coordinates ] [ Ch ] [ Cl ] [ Co ] [ Com ] [ Computer ] [ Con ] [ ConneCt ] [ Cons ] [ Coordinate ] [ Cr ] [ Cu ] [ Cube ] [ de ] [ diff ] [ ding ] [ du ] [ E ] [ eC ] [ ed ] [ ee ] [ eg ] [ er ] [ es ] [ et ] [ faCt ] [ fi ] [ file ] [ fo ] [ for ] [ fr ] [ ge ] [ gh ] [ gl ] [ gr ] [ gu ] [ gy ] [ h ] [ hat ] [ hr ] [ ht ] [ id ] [ iff ] [ il ] [ in ] [ inC ] [ int ] [ io ] [ ir ] [ is ] [ it ] [ jo ] [ join ] [ ke ] [ la ] [ Lex ] [ li ] [ line ] [ lose ] [ ls ] [ ly ] [ ma ] [ mall ] [ metriC ] [ mo ] [ mod ] [ module ] [ mp ] [ N ] [ na ] [ nC ] [ ne ] [ net ] [ network ] [ ng ] [ nl ] [ nn ] [ no ] [ node ] [ ns ] [ nu ] [ numbers ] [ om ] [ op ] [ ordinate ] [ pa ] [ parallel Computer ] [ pe ] [ ph ] [ pl ] [ point ] [ pr ] [ query ] [ range ] [ rC ] [ re ] [ relation ] [ ro ] [ ru ] [ se ] [ set ] [ sh ] [ si ] [ sm ] [ so ] [ st ] [ struCt ] [ su ] [ sy ] [ system ] [ T ] [ th ] [ to ] [ topology ] [ tr ] [ tw ] [ ua ] [ um ] [ vi ] [ zero ]