hypercube love

hypercube

Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun Any of a set of objects resulting from the generalization of a two-dimensional square and a three-dimensional cube to n dimensions. A hypercube has 2n corners, each of which is connected to its n nearest adjacent corners by edges that all have the same length.
• noun A network whose nodes have the connectivity of such an object.

from the GNU version of the Collaborative International Dictionary of English.

• noun A mathematical object existing in more than three dimensions, analogous to the cube in that each two-dimensional facet of the surface is a square; a generalization of a cube in more than three dimensions.

• noun geometry A geometric figure in four or more dimensions, which is analogous to a cube in three dimensions. Specifically, the n-dimensional equivalent of a cube for any non-negative integer n.
• noun geometry Such a figure in four dimensions; a tesseract.
• noun computing A computer architecture in which each processor is connected to n others based on analogy to a hypercube of n dimensions.

Etymologies

From hyper- +‎ cube

Examples

• Abstract: A representation of the genetic code as a six – dimensional Boolean hypercube is proposed.

• Hyperspace means a space with more than three dimensions, and a hypercube is a cube in more than three dimensions.

The Right Word in the Right Place at the Right Time William Safire 2004

• Hyperspace means a space with more than three dimensions, and a hypercube is a cube in more than three dimensions.

The Right Word in the Right Place at the Right Time William Safire 2004

• The hypercube is a very particular case of the hyperprism.

• For example, if we want to visualize the 4-dimensional equivalent of a cube (called a "hypercube", with 16 nodes and 32 edges), we can get a feel for it by "stereographically projecting" it into 3-dimensions:

Archive 2008-08-01 Jonathan Aquino 2008

• For example, if we want to visualize the 4-dimensional equivalent of a cube (called a "hypercube", with 16 nodes and 32 edges), we can get a feel for it by "stereographically projecting" it into 3-dimensions:

Dimensions video series Jonathan Aquino 2008

• Twitter search for "hypercube" and you'll see the naysayers like

• : P matociquala: It might be a hypercube and have LOTS of corners hawkwing_lb: (the one shape heaven shouldn't be is a pyramid)

sit back and i'll tell you we're living in fear hawkwing_lb 2009

• Silently, he ushered him through a door marked with the two-dimensional shadow of a hypercube.

• Gwiazda has created a kind of 4th dimensional hypercube format for some of these images, which allows him to imagine that he can simultaneously see in front, to both sides, and behind him.