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Polyhedron

Known as: 3-dimensional polytope, Hedrons, CHILIAHEDRON 
In elementary geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and… 
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Related topics

Related topics

50 relations
Alternation (geometry)Angular defectBarycentric subdivisionBattlezone

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2010
Review
2010
Vertex-, face-, point-, Schläfli-, and Delaney-symbols in nets, polyhedra and tilings: recommended terminology
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic nets, tiles and polyhedra, and… 
Highly Cited
2005
Highly Cited
2005
Invariant approximations of the minimal robust positively Invariant set
This note provides results on approximating the minimal robust positively invariant (mRPI) set (also known as the 0-reachable set… 
Highly Cited
2002
Highly Cited
2002
POLYHEDRON DISTORTIONS IN TOURMALINE
Distortion parameters [� , � 2 , DI(Y‐O), DI(O‐ Y‐O), DI(O‐O)] have been calculated for cation polyhedra in tourmalines of… 
Highly Cited
2001
Highly Cited
2001
Revised Effective Ionic Radii and Systematic Studies of Interatomie Distances in Halides and Chaleogenides
  • D. R.
  • 2001
  • Corpus ID: 35393536
The effective ionic radii of Shannon & Prewitt [Acta Cryst. (1969), B25, 925-945] are revised to include more unusual oxidation… 
Highly Cited
1997
Highly Cited
1997
The crystal chemistry of hexavalent uranium; polyhedron geometries, bond-valence parameters, and polymerization of polyhedra
The geomeffy, bond valences, and polymerization ofhexavalent uranium polyhedra from 105 well-refined structures are analyzed. The… 
Highly Cited
1995
Highly Cited
1995
I-COLLIDE: an interactive and exact collision detection system for large-scale environments
we present an exact and interactive collision detection system, I-COLLIDE, for large-scale environments. Such environments are… 
Highly Cited
1994
Highly Cited
1994
Onion-like carbon from ultra-disperse diamond
Highly Cited
1992
Highly Cited
1992
Pentagons, heptagons and negative curvature in graphite microtubule growth
THE standard carbon-arc synthesis for fullerenes also produces graphitic microtubules with helical structures1. In most cases the… 
Highly Cited
1972
Highly Cited
1972
Winged edge polyhedron representation.
A winged edge polyhedron representation is stated and a set of primitives that preserve Euler''s F-E+V = 2 equation are explained… 
Highly Cited
1971
Highly Cited
1971
The Crystal Chemistry of the Silicate Garnets
Refined structures of eight natural garnets [Cr-pyrope, almandine, spessartine, Mngrossular, grossular, uvarovite, goldmanite… 
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