projection_direction broken for polytopes?

asked 2014-07-05 15:43:45 +0200

smbelcas
195 ●3 ●8 ●21

updated 2014-07-05 23:31:00 +0200

kcrisman
12222 ●41 ●135 ●254

Some years back (probably 2 or 3) Marshall very kindly sent me a notebook of polytope commands. In that notebook there were the following:

poly = polytopes.twenty_four_cell()
poly.show()

poly.show(projection_direction=[2,5,11,17])

These last two commands produced different green diagrams... two years ago. Today, they produce identical blue diagrams.

I search "sage projection_direction" and http://www.sagemath.org/doc/reference... seems to indicate that the projection_direction option is still valid (not deprecated? should work? what's the correct phrasing here?).

Anyone know what's up with that?

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Update: http://trac.sagemath.org/ticket/16625 now has a fix (and then some!) for this issue. Reviewers needed!

kcrisman ( 2014-07-09 14:46:20 +0200 )edit

And has positive review, thanks Andrey.

kcrisman ( 2014-07-17 04:48:43 +0200 )edit

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answered 2014-07-08 18:25:40 +0200

Volker Braun
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updated 2014-07-08 18:28:41 +0200

This works for me:

sage: P8.schlegel_projection([2,5,11,17]).show()

The polyhedron show() method does not support a projection_direction optional argument. The reference manual link that you gave points to the internally-used Projection class, not the Polyhedron class which is the user interface.

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And they are different, yay! Is it possible that in the past `show` did accept this argument?

kcrisman ( 2014-07-08 18:30:44 +0200 )edit

Indeed, the example smbelcas gives is essentially identical to one in the documentation, so at the very least that would have to be updated.

kcrisman ( 2014-07-08 18:34:32 +0200 )edit

Well, it's *certain* that 'show' used to take the argument, as it worked when Marshall sent me the code way back when. (And yes, it would be good to update the documentation so that people aren't confused.)

smbelcas ( 2014-07-08 21:44:38 +0200 )edit

Fixed in http://trac.sagemath.org/ticket/16625 (needs review)

Volker Braun ( 2014-07-09 17:38:14 +0200 )edit

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answered 2014-07-06 03:41:16 +0200

kcrisman
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This is a bit weird. (Not the blue, that shouldn't have been green in the first place, though I can confirm that with older Sage versions it is.)

The Schlegel projection stuff is still technically working, or at least something is happening:

sage: from sage.geometry.polyhedron.plot import Projection
sage: P = Projection(poly)
sage: P.schlegel([2,3,5,7]).coordinates_of([1])
[(0.0538250745189, 0.279021759081, 0.729415128204)]
sage: P.schlegel([2,5,11,17]).coordinates_of([1])
[(-0.209018866441, 0.144793545531, 0.852418369476)]

And luckily, there is a workaround.

sage: P.schlegel([2,5,11,17]).show()

sage: P.schlegel([2,3,5,7]).show()  # different!

But why the renderings directly from projection_direction are not different I can't say. To be fair, I don't see any difference in older (green) versions either, but I'm not that into polytopes or their projections myself so it could be inexperience. I'm putting some comments on some possible tickets that might have changed this in the hopes of getting you a better answer than this, though.

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Um. When I execute that command, I get AttributeError: 'Polyhedra_ZZ_ppl_with_category.element_class' object has no attribute 'schlegel'

smbelcas ( 2014-07-06 05:22:11 +0200 )edit

?? Can you report exactly which version and OS you see that error on? This works for me both on bleeding-edge as well as a two-year-old copy of Sage.

kcrisman ( 2014-07-07 14:43:02 +0200 )edit

Sage 6.2, Mac OS X 10.7.5. Let's be extra clear: I executed P8 = polytopes.n_cube(4) P8.show() P8.schlegel([2,5,11,17]).show() (Sorry, I don't know how to get carriage returns or boxes in comments.)

smbelcas ( 2014-07-07 23:30:38 +0200 )edit

Okay, that is a different question (note that you did a different polytope than in your original question) and presumably a bug, which I can replicate (see http://trac.sagemath.org/ticket/16625). Apparently `P8.schlegel_projection().show()` works but doesn't do anything different than `show()`.

kcrisman ( 2014-07-08 15:29:23 +0200 )edit

Wait, how is that a different question? The schlegel command should work for all internally-defined sage polytopes equally well, shouldn't it? Plus, when I do poly = polytopes.twenty_four_cell() poly.schlegel([2,5,11,17]).show() I get AttributeError: 'Polyhedra_QQ_ppl_with_category.element_class' object has no attribute 'schlegel' Maybe this is because you loaded some extra package that I did not load (because I'm just trying to use stuff built in to sage at this point)?

smbelcas ( 2014-07-08 16:23:11 +0200 )edit

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