#8987: `
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Reporter: novoselt | Owner: mhampton
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.4
Component: geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: Volker Braun | Merged:
Work_issues: |
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Comment(by vbraun):
I agree that there is some rationale for calling individual cones to be
faces of the fan, but that is not the standard terminology and I think it
would be confusing. So I would go with 3)
* A cone is a strictly convex polyhedral cone
* Faces are sub-cones of cones
* A fan is a collection of cones, closed under "taking faces".
I think the rationale here is that (the support of) the fan is not
necessarily convex, so its easier to keep fans and cones separate.
But i'm not opposed to keeping `Fan.ambient()` to refer to either a cone
or a fan (or anything that behaves suitable). To safely use duck-typing it
would be nice to write down exactly what you expect `ambient` to provide.
I guess we want the following to be available, but not necessarily
anything else:
* `ambient().nrays()`
* `ambient().rays()`
* `ambient().ray_set()`
* `ambient().ray_indices()`
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8987#comment:31>
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