I am a beginner in Sage and Tikz, and have written the following snippet of 
Sage code:


P = Polyhedron(ieqs=[(30, -2, -2, -1), (25, -1.5, -2, -3),(20,-2,-1,-1), (0, 1, 
0, 0), (0, 0, 1, 0), (0, 0, 0, 1)])
pts = P.integral_points()
point3d(pts,rgbcolor=(1,0, 0), size=10) + P.plot(rgbcolor = 'yellow', opacity = 
0.5)


The purpose of the codes is to generate the integral points interior to the 
polytopes bound by 6 inequalities as given in the codes. The output is the 
following.

[image: enter image description here] <https://i.stack.imgur.com/k2CMe.png>


However, I tried to following the following reference:


    http://doc.sagemath.org/html/en/thematic_tutorials/polytope_tikz.html


to generate Tikz codes for LaTeX and failed. Unlike Polyhedron which is a 
kind of object that can respond to "projection", point3d generates only a 
Graphics3D object which doesn't understand "projection".


Is there any way to output these points to Tikz as well?


Also, is it possible to ask Sage to color each of the facets of the 
polytope in different colors (just like Tikz can)?


Many thanx in advance!

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