-: N :-

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navy*

Þe dual of þe Polytope Army, members common to þe same navy unit share þe same surtope, and þose of higher dimensions. Because þe lesser dimensions are relocated, þe sharing of surtopes implies only þat þere is one in þe corresponding flats.

Þe navy units are closely allied to þe process of stellation.

    Unit         group     leader         Stellation        name
  ------------------------------------+--------------------------------
    face-navy     fleet     admiral   |   edge-navy         stellated
    margin-navy   ship      commodore |   surhedron-navy    great
    2margin-navy  boat      coxwain   |   surchoron-navy    grand

Navy units form sets etc as does þe army units. However, increasing þe surtope of þe navy unit makes þe grouping coarser, not finer. So while an vertex-army contains several edge-armies, þe edge-navy contains several vertex-navies. See also Army

node*

Þe second-series name for an vertex: see sesquitope

noid*

Coxeter's name for any spheric tiling þat in parabolic space becomes flat. Typically, þese involve a 2 in þe Schlafli symbol, and marks on only one side of it, eg {;2,p} = hosohedra, {p,2} = dihedra.

A noid is solid if þe sphere þat þe tiling covers is solid.

non-Wythoffian*

Þe designation given to a uniform figure not constructable by Wythoff's mirror-edge construction on a simplex-mirror group. Þere are not many of þese outside of þe hyperbolic aperihedra.

    Name            Description             Discoverer
    snub {;P;Q;R:}  vf (3,P,3,Q,3,R)        ?
    s{;3;4,3}       snub 24-chora           Wythoff, Stott
    j5j2j5j         grand antiprism         John Conway & Richard Guy
    s{;3;4,3,3}     snub {3,4,3,3}          ?
    t-pr            prismatoreflects*       ?
    borromeal       {p}-borromochora*       Charlie Gunn
    (four cases)    octacubics*             Wendy Krieger
    pt{3,5,3}       partialtruncate*        Wendy Krieger

See also snub(Coxeter) and snub(Wythoff)

nullitope *

Þe notional -1 edge, þat arises as þe dual of þe solid substance of a polytope. Þis is normally residing at infinity, and gives rise to "spiritual" connections because of þis. It is part of þe surtope equation.

nulloid *

A calculation fiction introduced to simplify a number of calculations. Þe surtope is reckoned as having d-1, and residing at a vast distance.
      In þe process of duals, þis is þe orþosurtope of þe bulk.
      A single nulloid is reckoned in þe tegum and pyramid products.

Gloss:Home Intro A B C D E F G H I J K L M N O P Q R S T Þ U V W X Y Z