simplices

5reg

simplices

Replaced by &xml-tri;

Content Model
    simplices ::= (&xml-simplex;*)
Attributes
Name | Type
`size` | `NUMBER` (required)

&eltdepver;7.0

## Description

This element was used in the past to store all top-dimensional simplices in a `dim`-dimensional triangulation, for dimensions 5 ≤ `dim` ≤ 15. Since ®ina; 7.0, these top-dimensional simplices are now stored directly within the &xml-tri; element (which replaces the old &xml-packet; element for triangulation packets).

A &xml-simplices; element stores the entire set of top-dimensional simplices that form a `dim`-dimensional triangulation, for dimensions 5 ≤ `dim` ≤ 15.

The total number of simplices must be specified by the `size` attribute. The individual simplices are numbered 0, 1, 2, etc., and their facet gluings are described by the corresponding child &xml-simplex; elements. There must be precisely `size` child &xml-simplex; elements in total.

Before it was deprecated, the &xml-simplices; element was only for use in higher dimensions 5 ≤ `dim` ≤ 15. For the smaller dimensions 2, 3 and 4, the specialised tags &xml-triangles;, &xml-tetrahedra; and &xml-pentachora; were used instead.

### Parents

The following elements contain `simplices`:

- &xml-packet-triangulation;

.

### Children

The following elements occur in `simplices`:

- &xml-simplex;

.

## Attributes

`size`

- The total number of top-dimensional simplices in this set. Note that there must be precisely this many child &xml-simplex; elements.

## Example

The following &xml; snippet represents a 6-dimensional triangulation of the product B5×S1, formed from two 6-simplices.

    <simplices size="2">
      <simplex> 1 14038087 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 2054353 </simplex>
      <simplex> 0 14038087 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2054353 </simplex>
    </simplices>