#18128: Add a face truncation method to Polyhedron class
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Reporter: jipilab | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: geometry | Keywords: face truncation, polytope
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently, it is possible to do a truncation of a polytope via the method
".edge_truncation()".
See http://en.wikipedia.org/wiki/Truncation_%28geometry%29
I currently need the notion of edge-truncation, which is achieve by
cutting the polytope along a "well-chosen" hyperplane whose normal vector
lies in the normal cone of the edge. This edge truncation uses only one
edge. Not all edges at once.
Further, one can define a face truncation similarly with the same code. I
am implementing a method called ".face_truncation(face,
normal_coefficient, cut_frac)" taking a face of the polytope, and two
optional parameters to vary the angle of the cut.
This new method makes the old method ill-named. It should be recalled
simply "truncation" or "complete_vertex_truncation".
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Ticket URL: <http://trac.sagemath.org/ticket/18128>
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