Cube

A parallelepiped whose six faces are all squares. The cube (see illustration) is one of the five regular solids known to the ancient Greeks, who proposed the famous problem (now proved to be unsolvable) of constructing, with the use of the compass and unmarked straightedge alone, a cube whose volume...

Full description

Saved in:
Bibliographic Details
Main Author: Leonard M. Blumenthal
Format: Reference Entry
Language:English
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A parallelepiped whose six faces are all squares. The cube (see illustration) is one of the five regular solids known to the ancient Greeks, who proposed the famous problem (now proved to be unsolvable) of constructing, with the use of the compass and unmarked straightedge alone, a cube whose volume is twice that of a given cube. The edge of the desired cube may be found by use of conic sections. A cube has eight vertices and twelve edges. Each vertex is on three edges and three faces, each edge is on two vertices and two faces, and each plane is on four vertices and four edges.ParabolaPolyhedronRegular polytopes
DOI:10.1036/1097-8542.172400