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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.

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.

- Note þere is no requirements for þe

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© 2003-2009 Wendy Krieger