oh, right, what I suggested isn't what you asked for, sorry.

On Mon, 19 Jun 2023, 13:56 John Cremona, <john.crem...@gmail.com> wrote:

> Thanks Dima for the suggestion.  I'm not sure that this does what I need:
> the associated directed graph has each edge directed, which is not what I
> was needing, and the faces of the directed graph look identical to those of
> the original -- in particular, the edges of each face are tuples (x,y)
> where both (x,y) and (y,x) appear on different faces (as I need to always
> hold) regardless of the orientation of the edges.
>
> I will keep on experimenting. My polyhedra are small and few enough that
> check the orientations of each is not very time-consuming.
>
> John
>
> On Monday, June 19, 2023 at 12:08:18 PM UTC+1 Dima Pasechnik wrote:
>
>> On Mon, Jun 19, 2023 at 11:18 AM John Cremona <john.c...@gmail.com>
>> wrote:
>> >
>> > I have some quite small graphs which are polyhedral, each is the
>> 1-skeleton of a (connected convex) polyhedron such as a cube, tetrahedron,
>> etc, constructed from a list of edge pairs.
>> >
>> > I can get the faces of one of these, say G, via G.faces(). This returns
>> a list of lists of vertices, each one being a list of the vertices of one
>> face in some cyclic order. So each face in the list has an implied
>> orientation. OK so far.
>> >
>> > What I want is for the orientations of the different faces to be
>> coherent, coming from a single orientation of the surface. Expliticly that
>> means that each edge xy, which will appear in exactly two faces, appears
>> once in each direction, i.e. x before y (cyclically) in one and the other
>> way round in the other.
>> >
>> > It is possible that G.faces() is already returning such a globally
>> oriented list of faces, as experimentation suggests, but I need to be
>> certain -- otherwise I can write code to check and if necessary reverse
>> some faces. I would prefer not to have to though.
>> >
>> > The docstrong of G.faces() does not make this clear (at least not to
>> me).
>>
>> You can call G.strong_orientation()
>> to get an orientation of the edge of your graph, and use it.
>>
>> HTH
>> Dima
>>
>> >
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>>
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