Opened 10 months ago

Last modified 4 months ago

#31405 new enhancement

Documentation to "Functions for plotting polyhedra". more details wanted

Reported by: guenterrote Owned by:
Priority: minor Milestone: sage-9.5
Component: documentation Keywords: Schlegel diagram, documentation, polytope
Cc: jipilab, gh-kliem, gh-LaisRast Merged in:
Authors: Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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Description

doc/sage/html/en/reference/discrete_geometry/sage/geometry/polyhedron/plot.html

1) Apparently, schlegel_projection works only for 4d to 3d. Or also for 3d to 2d? (That would be nice to have.) 5d to 4d? Please mention

2) There is no such thing as a "stereographic projection" of a polytope. Stereographic projection is a mapping between a sphere and a hyperplane. What this really is is just a central projection, from some point. (like the Schlegel diagram as well, except that the projection center is constrained). Where is the image hyperplane? Probably perpendicular to the vector from 0 to the projection center? Can that point be 0? Does the projection plane go through the origin, or does it touch the unit ball? What happens if the point lies inside the unit ball?

3) Is there no parallel projection? (or special case orthogonal projection) Or is it in some other module?

Change History (5)

comment:1 Changed 10 months ago by mkoeppe

  • Cc jipilab gh-kliem added

comment:2 Changed 10 months ago by gh-LaisRast

  • Cc gh-LaisRast added

comment:3 Changed 10 months ago by jipilab

  • Authors Günter Rote deleted
  • Keywords polytope added
  • Type changed from PLEASE CHANGE to enhancement

Ok, will address these questions ASAP.

comment:4 Changed 9 months ago by mkoeppe

  • Milestone changed from sage-9.3 to sage-9.4

Sage development has entered the release candidate phase for 9.3. Setting a new milestone for this ticket based on a cursory review of ticket status, priority, and last modification date.

comment:5 Changed 4 months ago by mkoeppe

  • Milestone changed from sage-9.4 to sage-9.5
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