Peak (geometry)

Peak (geometry)

In geometry, a peak is an ("n"-3)-dimensional element of an n-dimensional polytope.

By dimension, this corresponds to:
*a vertex of a polyhedron;
*an edge of a polychoron (4-polytope);
*a face of a 5-polytope;
*and so forth.

At least three facets (and, accordingly, at least three ridges) must meet at any peak in a convex polytope.

A regular polytope with Schläfli symbol {p1,p2,p3,...,pn-2,pn-1} have a sequence of "pn-1" {p1,p2,p3,...,pn-2} facets around every peak.

External links

*GlossaryForHyperspace | anchor=Peak | title=Peak


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Molecular geometry — Geometry of the water molecule Molecular geometry or molecular structure is the three dimensional arrangement of the atoms that constitute a molecule. It determines several properties of a substance including its reactivity, polarity, phase of… …   Wikipedia

  • Lassen Peak — and Devastated Area from Cinder Cone Elevation 10,462 ft (3,189 m)  …   Wikipedia

  • Wilkins Peak — Infobox Mountain Name = Wilkins Peak Photo = Wilkinspeakscottsbottom.jpg Caption = Wilkins Peak Elevation = convert|7650|ft|m|0 Location = Sweetwater County, Wyoming, USA Range = Prominence = Easiest route=Access Road pushpin pushpin label… …   Wikipedia

  • Defect (geometry) — For other uses, see Defect. In geometry, the (angular) defect (or deficit or deficiency) means the failure of some angles to add up to the expected amount of 360° or 180°, when such angles in the plane would. The opposite notion is the excess.… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

  • river — river1 riverless, adj. riverlike, adj. /riv euhr/, n. 1. a natural stream of water of fairly large size flowing in a definite course or channel or series of diverging and converging channels. 2. a similar stream of something other than water: a… …   Universalium

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Atmospheric reentry — refers to the movement of human made or natural objects as they enter the atmosphere of a planet from outer space, in the case of Earth from an altitude above the edge of space. This article primarily addresses the process of controlled reentry… …   Wikipedia

  • OpenGL — Original author(s) Silicon Graphics Developer(s) Khronos Group Stable release 4.2 …   Wikipedia

  • education — /ej oo kay sheuhn/, n. 1. the act or process of imparting or acquiring general knowledge, developing the powers of reasoning and judgment, and generally of preparing oneself or others intellectually for mature life. 2. the act or process of… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”