from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. 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.
- n. Such a figure in four dimensions; a tesseract.
- n. A computer architecture in which each processor is connected to n others based on analogy to a hypercube of n dimensions.
from the GNU version of the Collaborative International Dictionary of English
- n. 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.
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 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:
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)
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.
Interesting result from graph theory (and the theory of parallel computing) is that any balanced color-coded tree (see figures 4&5?) may be embedded in a hypercube of the same dimension w/o “fudging.”
The structure of the code facilitates evolution: the variation found at the variable positions of proteins do not corresponds to random jumps at the codon level, but to well defined regions of the hypercube.
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