An n-dimensional cube has how many corners? How many edges? How many (n -1)-dimensional faces? The cube in Rn whose edges are the rows of 2I has volume __ . A hypercube computer has parallel processors at the corners withconnections along the edges.
An n-dimensional cube has how many corners? How many edges? How many (n -1)-dimensional faces? The cube in Rn whose edges are the rows of 2I has volume __ . A hypercube computer has parallel processors at the corners withconnections along the edges.
Given: dimensional cube.
To find: a) Number of corners in dimensional cube.
b) Number of edges in dimensional cube.
c) Number of dimensional faces.
d) Volume of cube in whose edges are the rows of
a) We know that the two-dimensional cube is a square and it has corners.
Three-dimensional cube is the regular cube and it has corners.
Using the same logic, we can conclude that -
The dimensional cube has corners.
b) We know that the square has edges, while regular cube has edges.
Using the same logic, we can conclude that -
The dimensional cube has edges.
c) Since the square has one-dimensional faces (segments) and the regular cube has two-dimensional faces (squares), it follows that-
The dimensional cube has dimensional faces.
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