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...retrieve vertices of an H-polytope { x | A*x<=b, Aeq*x=beq }?
...retrieve rays and vertices of an H-polytope {$ P = \{x \ | \ Ax \le b, \ A_e x = b_e \} $}?
V = P.V
vertices = P.V; rays = P.R;
...specify a polyhedron P = {x | A*x <= b, Ae*x = be}?
...specify a polyhedron {$ P = \{x \ | \ Ax \le b, \ A_e x = b_e \} $}?
...retrieve the H-representation { x | A*x<=b, Aeq*x=beq } of polyhedron P?
...retrieve the H-representation {$ P = \{x \ | \ Ax \le b, \ A_e x = b_e \} $}?
...specify a polyhedron P = {x | A*x <= b}?
...specify a polyhedron {$ P = \{x \ | \ Ax \le b\} $}?
...specify a polyhedron P = {x | A*x <= b}?
P = Polyhedron(A, b)
...specify a polyhedron using vertices V?
P = Polyhedron(V)
...specify a polyhedron P = {x | A*x <= b, Ae*x = be}?
P = Polyhedron('A', A, 'b', b, 'Ae', Ae, 'be', be)
...retrieve the H-representation { x | A*x<=b, Aeq*x=beq } of polyhedron P?
A = P.A, b = P.B, Aeq = P.Ae; beq = P.be
...retrieve vertices of an H-polytope { x | A*x<=b, Aeq*x=beq }?
V = P.V
...remove redundant faces of a polyhedron?
(:source lang=MATLAB -getcode:)P.minHRep()
...plot polyhedron P in red and polyhedron Q in blue in the same figure?
plot(P, 'color', 'r', Q, 'color', 'b')
...normalize the H-representation of a polyhedron?
(:source lang=MATLAB -getcode:)P.normalize()
...find out how many inequality and equality constraints define polyhedron P?
nineq = size(P.H, 1); neq = size(P.He, 1);
...plot the k-th facet of polyhedron P?
facet = P.getFacet(k); facet.plot()
...compute the Chebyshev center and radius of the k-th facet of polyhedron P?
data = P.minHRep().getFacet(k).chebyCenter(); x = data.x, r = data.r
...project point z onto the k-th facet of polyhedron P?
y = P.minHRep().getFacet(k).project(z).x
...determine whether polyhedron P is empty?
answer = P.isEmptySet()
...determine whether polyhedron P is lower-dimensional?
lowdim = ~P.isFullDim()
...specify an n-dimensional hyperbox with unit length of its sides?
box = Polyhedron('lb', -ones(n, 1), 'ub', ones(n, 1))
...compute the bounding box of a polyhedron P?
box = P.outerApprox()
...compute the bounding box of an array of polyhedra (say, A = [P; Q]?
box = PolyUnion(A).outerApprox();