Polyhedron

related topics
{math, energy, light}
{math, number, function}
{@card@, make, design}
{church, century, christian}
{language, word, form}
{god, call, give}
{theory, work, human}
{area, part, region}
{work, book, publish}
{style, bgcolor, rowspan}

A polyhedron (plural polyhedra or polyhedrons) is a geometric solid in three dimensions with flat faces and straight edges. The word polyhedron comes from the Classical Greek πολύεδρον, as poly- (stem of πολύς, "many") + -edron (form of έδρα, "base", "seat", or "face").

Defining a polyhedron as a solid bounded by flat faces and straight edges is not very precise and, to a modern mathematician, quite unsatisfactory. Grünbaum (1994, p. 43) observed, "The Original Sin in the theory of polyhedra goes back to Euclid, and through Kepler, Poinsot, Cauchy and many others ... [in that] at each stage ... the writers failed to define what are the 'polyhedra' ...." Since then rigorous definitions of "polyhedron" have been given within particular contexts. However such definitions are seldom compatible in other contexts.

Contents

related documents
Tetrahedron
Curvature
Quantum harmonic oscillator
Stereographic projection
Map projection
Gaussian beam
Born-Oppenheimer approximation
Particle in a box
Virial theorem
Electrical impedance
Nucleon
Alcubierre drive
Geographic coordinate system
Ellipse
Star cluster
Electromagnetism
Superfluid
Hall effect
Velocity
Comoving distance
Focal length
Retrograde and direct motion
Čerenkov radiation
Vulcan (hypothetical planet)
Biot–Savart law
Zodiac
Voyager 2
Auger electron spectroscopy
Boltzmann constant
Phobos (moon)