Enumerating lattice points in rational polytopes

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ProfHeimer
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Is there a way to ask Sage to count the number of lattice points in a rational polytope, say a polytope with vertices (0,0,0,0), (0,0,0,7), (0,0,7/2,7/2), (0,7/3,7/3,7/3),(7/4,7/4,7/4,7/4)?

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answered 7 years ago

vdelecroix
7655 ●20 ●85 ●168 http://www.labri.fr/pe...

There is

sage: P = Polyhedron([(0,0,0,0), (0,0,0,7), (0,0,7/2,7/2), (0,7/3,7/3,7/3),(7/4,7/4,7/4,7/4)])
sage: P.integral_points_count()
38

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Thank you!

ProfHeimer ( 7 years ago )

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Last updated: Oct 12 '17

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