Polytope Wiki:Style guide

This is a work in progress.

This page will tell you how to format pages, page titles, etc. Anything not following this style guide should be adapted to conform to it.

If you want to make a change to this style guide, please achieve a consensus with the community first, by bringing your point up on the Discord server or the [http://hi.gher.space/forum/index.php Hi.gher. Space forum].

Which polytopes get articles
To decide which polytopes get their own articles, and which are relegated to subsections of other polytopes, the following master rule is used:
 * Two polytopes have separate pages if and only if they're in different teepees and aren't geometrically identical.
 * A teepee is a set of polytopes that can be continuously morphed into one another, without losing symmetry or passing through degenerate cases. Geometrically identical refers to polytopes that may be scaled, rotated, and/or reflected so that all of their respective elements coincide.

If two polytopes with different symmetries belong in the same article, the one with the highest symmetry, or highest notability, earns the title, as well as the main section and the infobox.

Note: Being regular, uniform, dual uniform, scaliform, or CRF counts as having higher notability as being neither.

For example, get their own articles, as their symmetries are different, and their geometry is (in general) distinct. Likewise, get their own articles: even though they have the same symmetry and can be morphed into one another, they can't be morphed without losing that symmetry or degenerating into a point. However, don't both get their own articles, as they're geometrically identical. The octahedron gets the main article, due to its higher symmetry. Similarly, there's no need for two articles as they're in the same teepee, even though they aren't geometrically identical in general.
 * Equilateral triangle, isosceles triangle ✅
 * Pentagon, pentagram ✅
 * Octahedron, tetratetrahedron ❌
 * Uniform triangular prism, semiuniform triangular prism, ❌

Page titles
The title for the page of a polytope must be the Bowers long name of the polytope in question. In case this doesn't exist, the Johnson name is preferred. In the rare case neither exists, the community will decide on a name.

The first word in a page title must be capitalized, but every other word must not. For example, is acceptable, but are not. Redirects may be created from alternate names, though, if these are in somewhat common use.
 * Facetorectified pentachoron ✅
 * Facetorectified Pentachoron ❌
 * Frip ❌
 * Faceted rectipyrochoron ❌

Page formatting
A polytope's page must start by introducing the polytope by its long name. In the same sentence, common names for the polytope can be specified. The sentence must end by stating into which category the polytope falls. The next sentence must specify the facet count and vertex figure. For example, is a valid introduction, while is not.
 * The great rhombicuboctahedron or girco, also commonly known as the truncated cuboctahedron, is one of the 13 Archimedean solids. It consists of 12 squares, 8 hexagons, and 6 octagons, with one of each type of face meeting per scalene triangular vertex. ✅
 * Girco is often called the truncated cuboctahedron, but this is incorrect for various reasons. ❌

Further information for the highest symmetry version of the polytope may be given in the introductory paragraphs. Subsections can be dedicated to either notable lower symmetry versions or specific properties of any version of the polytope.

Infoboxes
Bowers style acronyms must be from either Bowers' or Klitzing's website. Element names must be specified unless they are vertices or dyads. Element counts are separated by symmetry, so since a small rhombicuboctahedron contains two groups of 6 and 12 squares in two different symmetry groups, one may state concisely that it contains 6+12 squares.

All parameters of the infobox that are applicable and known must be attempted to be filled.