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Edge vs Cantellation - What's the difference?

edge | cantellation |

As nouns the difference between edge and cantellation

is that edge is the boundary line of a surface while cantellation is (geometry) an operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

As a verb edge

is to move an object slowly and carefully in a particular direction.

edge

English

(Webster 1913)

Noun

(en noun)
  • The boundary line of a surface.
  • (label) A one-dimensional face of a polytope. In particular, the joining line between two vertices of a polygon; the place where two faces of a polyhedron meet.
  • An advantage.
  • * {{quote-magazine, year=2013, month=December, author=Paul Voss
  • , magazine=(IEEE Spectrum), title= Small Drones Deserve Sensible Regulation , passage=It’s no secret that the United States may be losing its edge in civilian aviation. Nowhere is this more apparent than with small unmanned aircraft, those tiny flying robots that promise to transform agriculture, forestry, pipeline monitoring, filmmaking, and more.}}
  • The thin cutting side of the blade of an instrument, such as an ax, knife, sword, or scythe; that which cuts as an edge does, or wounds deeply, etc.
  • * (William Shakespeare), (Cymbeline)'', Act 3, Scene 4, 1818, ''The Dramatic Works of William Shakespeare , Volume 6, C. Whittingham, London, page 49,
  • No, 'tis slander; / Whose edge is sharper than the sword;
  • * 1833 , Adam Clarke (editor), (w)'', II, 12, ''The New Testament , page 929,
  • And to the angel of the church in Pergamos write; These things saith he which hath the sharp sword with two edges :
  • A sharp terminating border; a margin; a brink; an extreme verge.
  • * 1598 , (William Shakespeare), (w, Love's Labour's Lost)'', Act 4, Scene 1, 1830, (George Steevens) (editor), ''The Dramatic Works of William Shakspeare , Volume 1, page 166,
  • Here by, upon the edge of yonder coppice; / A stand, where you may make the fairest shoot.
  • * 1667 , (John Milton), (Paradise Lost)'', 1824, Edwartd Hawkins (editor), ''The Poetical Works of John Milton , Volume 1, page 32,
  • In worst extremes, and on the perilous edge / Of battle when it rag'd, in all assaults
  • * 1820 , , (Ivanhoe)'', 1833, ''The Complete Works of Sir Walter Scott , Volume 3, page 9,
  • .
  • Sharpness; readiness or fitness to cut; keenness; intenseness of desire.
  • * , (Jeremy Taylor), Sermon X: The Faith and Patience of the Saints, Part 2'', ''The Whole Sermons of Jeremy Taylor , 1841, page 69,
  • Death and persecution lose all the ill that they can have, if we do not set an edge upon them by our fears and by our vices.
  • * 1820 , , (Ivanhoe) , 1827, page 175,
  • we are to turn the full edge of our indignation upon the accursed instrument, which had so well nigh occasioned his utter falling away.
  • The border or part adjacent to the line of division; the beginning or early part; as, in the edge of evening.
  • * 1853 (1670), (John Milton), Charles R. Sumner (translator), (The History of Britain)'', ''The Prose Works of John Milton , Volume V, page 203,
  • supposing that the new general, unacquainted with his army, and on the edge of winter, would not hastily oppose them.
  • (label) A shot where the ball comes off the edge of the bat, often unintentionally.
  • * 2004 March 29, R. Bharat Rao Short report: Ind-Pak T1D2 Session 1 in rec.sports.cricket, Usenet
  • Finally another edge for 4, this time dropped by the keeper
  • (label) A connected pair of vertices in a graph.
  • In male masturbation, a level of sexual arousal that is maintained just short of reaching the point of inevitability, or climax; see also edging .
  • Synonyms

    * (advantage) advantage, gain * (sharp terminating border) brink, lip, margin, rim, boundary * (in graph theory) line

    Derived terms

    * bottom edge * inside edge * live on the edge * on edge * outside edge * top edge

    See also

    * Mathworld article on the edges of polygons * Mathworld article on the edges of polyhedra * Science book

    Verb

    (edg)
  • To move an object slowly and carefully in a particular direction.
  • He edged the book across the table.
  • To move slowly and carefully in a particular direction.
  • He edged away from her.
  • * {{quote-news
  • , year=2011 , date=April 11 , author=Phil McNulty , title=Liverpool 3 - 0 Man City , work=BBC Sport citation , page= , passage=Carroll has been edging slowly towards full fitness after his expensive arrival from Newcastle United and his partnership with £23m Luis Suarez showed rich promise as Liverpool controlled affairs from start to finish.}}
  • (usually in the form 'just edge') To win by a small margin.
  • (cricket) To hit the ball with an edge of the bat, causing a fine deflection.
  • To trim the margin of a lawn where the grass meets the sidewalk, usually with an electric or gas-powered lawn edger.
  • To furnish with an edge; to construct an edging.
  • * 2005 , Paige Gilchrist, The Big Book of Backyard Projects: Walls, Fences, Paths, Patios, Benches, Chairs & More , Section 2: Paths and Walkways, page 181,
  • If you're edging with stone, brick, or another material in a lawn area, set the upper surfaces of the edging just at or not more than ½ inch above ground level so it won't be an obstacle to lawn mowers.
  • To furnish with an edge, as a tool or weapon; to sharpen.
  • * Dryden
  • to edge her champion's sword
  • (figurative) To make sharp or keen; to incite; to exasperate; to goad; to urge or egg on.
  • * Hayward
  • By such reasonings, the simple were blinded, and the malicious edged .
  • To delay one's orgasm so as to remain almost at the point of orgasm.
  • * 2011 , Nicholson Baker, House of Holes , page 181
  • “I think of it as mine, but, yes, it's his cock I've been edging with. Do you edge?”
  • * 2012 , Ryan Field, Lasting Lust: An Anthology of Kinky Couples in Love , page 33
  • Paul had been edging since the first young guy started to fuck, and he wanted Paul to come inside his body that night.
  • * 2012 , Ryan Field, Field of Dreams: The Very Best Stories of Ryan Field, page 44
  • His mouth was open and he was still jerking his dick. Justin knew he must have been edging by then.

    Derived terms

    * edge out * edge up * re-edge / reedge

    Quotations

    * 1925 , Walter Anthony and Tom Reed (titles), Rupert Julian (director), The Phantom of the Opera , silent movie *: In Mlle. Carlotta’s correspondence there appeared another letter, edged in black!

    Anagrams

    *

    cantellation

    English

    Noun

    (-) (wikipedia cantellation)
  • (geometry) An operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.