Opened 3 years ago

Last modified 3 years ago

#24886 closed enhancement

Implement one point suspension and face split of polyhedron — at Initial Version

Reported by: jipilab Owned by:
Priority: major Milestone: sage-8.3
Component: geometry Keywords: days93, polytope, thursdaysbdx, IMA-PolyGeom
Cc: vdelecroix, moritz, mkoeppe, chapoton Merged in:
Authors: Jean-Philippe Labbé Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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The one-point suspension of a vertex v of a polyhedron P of dimension d is obtained by placing P in a dimension d+1 vector space where the last coordinate is 0, then placing a vertex "over" v and a vertex "below" v in the last coordinate and taking the convex hull.

One can do a similar construction for faces of polyhedron by placing the two vertices relative to the center of the face. This way we get the face split of P.

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