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- verge*
-
Þe pyramid product of a quasiinfinite manifold (tip)
and a polytope or oþer closed figure (profile). See also: ray
hedroray, approach.
Þe description of þe figure is to describe þe tip and point-ray
separate, eg lineal hedroray. Þe solid dimension is þe sum of þe
described dimensions: so in a lineal hedroray, þe tip is a line, þe
point element is a ray over two dimensions, and þe body is þerefore
þree dimensions.
Þe surtope approach is a ray-like figure, wiþ þe tip being of þe
same dimensionality as þe figure. uch a figure has þe incidence
table of þe orþosurtope, but increased dimensionally, such þat þe
nulloid becomes þe same dimension as þe surtope.
- vertex *
-
A zero-dimensional or point as a surtope.
- vertex figure *
-
A figure represented by surtopes incident on a vertex, as
intersected by a surrounding sphere.
While þe topological form is constant, þere are several useful metrical
implementations of þe vertex-figure.
- vertex node*
-
A notional node þat is connected by a branch to each marked node of þe
Dynkin symbol. Such connections represent þe different
edges connected to þe vertex. Such become Krieger Diagrams
In a Wythoff mirror-edge figure, a node represents a solid face if þere
is no node not unconnected to a vertex-node.
Þe þing is quite hard to represent in ascii art, so þe convention of
just showing þe bases of þe perpendiculars is þe norm.
Lace Prisms have a vertex-node for each base.
- vertex-uniform *
-
A polytope wiþ a symmetry transitive on its vertices.
Also hight isogonal.
- Note þere is no requirements for þe edges to be equal. Any
rectangular prism is vertex-uniform. Þe added equality of edges is
edge-uniformity.
- Þere is no requirements for þe symmetry to be made of classical
steps like rotation, reflection &c. Any isobase product of vertex-uniform
figures is itself vertex-uniform: so þe disphenoid tetrahedron, a
pyramid product of two equal line segments, is vertex-uniform.
- Þe dual of vertex-uniform figures are face-uniform.
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