#18128: Add a face truncation method to Polyhedron class
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Reporter: jipilab | Owner:
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-7.0
Component: geometry | Resolution:
Keywords: face truncation, | Merged in:
polytope | Reviewers: Vincent Delecroix
Authors: Jean-Philippe | Work issues:
Labbé | Commit:
Report Upstream: N/A | d29756915ab7a9c66189c4cacca52dc2bebf62d5
Branch: | Stopgaps:
u/jipilab/ge_truncation |
Dependencies: |
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Comment (by jipilab):
Salut Vincent,
I was also confused with the choice `edge_truncation` already. I have no
idea why it was named this way. The only reason I can find is if you think
of a polytope as a graph only and you cut all the edges simultaneously
twice: close to each of their ends. But geometrically, there is much much
more happening.
As I said, this method does the truncations all at the same time, giving a
different result than cutting a single face at a time, where you then also
have to take care of how deep you cut.
The previous `edge_truncation` (which is now `truncation` inspired by the
wikipedia page above), actually performs face truncations with faces being
vertices, again all simultaneously.
I tried to think of how to join the two methods. Doing the `truncation`
using the function `face_truncation` one vertex at a time while also
recording the old data for where to cut each vertex next seemed like over
doing what it was already doing with very simple code.
So, I don't really see an advantage in joining the functions...
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Ticket URL: <http://trac.sagemath.org/ticket/18128#comment:28>
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