Convhull(G) non-determinate solution from a set of planes

I have a problem when using a function that calls convhull.
I am using a function which was written by somebody else, called ConvexPolytrope.m- attached. This works out the convex shape that bounds half-spaces.
The input to this code is a matrix where each row is the coefficients of the half-space equation, plus an 'inner point' which the algorithm needs as a starting point.
So, in the end, I have 8 planes to which the polytrope is a solution. 2 of these define the half spaces- they are defined by my original problem, and geometrically they are planes that intersect a box formed by 6 planes that are defined by bounding limits on my variables in the plane equations.
Then there are 6 half spaces- it is simplest to choose these to be the faces of a cuboid, where one of the variables in the plane system has it's lower/upper bound.
I do this, and I am pretty sure my set of half planes is consistently defined. However, with the following input, which is supposed to be the 6 'bounding planes',
convexPolytrope([0,-1,0,-2500; 0,1,0,-2000; 0,0,-1,-50; 0,0,1,-25; -1,0,0,-2500; 1,0,0,-2000;],[0.5,0.5,0.5])
I get the same kind of output that I originally posted about
ans = [4x3 double] [4x3 double] [4x3 double] [4x3 double] [4x3 double] [4x3 double]
It's worse if I additionally supply the two planes,
convexPolytrope([1,1,-1,0; 1,0,-1,0; 0,-1,0,-2500; 0,1,0,-2000; 0,0,-1,-50; 0,0,1,-25; -1,0,0,-2500; 1,0,0,-2000;],[-0.5 -0.5 -0.5])
Error using cgprechecks (line 30) Data points containing Inf or NaN are not supported.
Error in convhulln (line 41) cgprechecks(x, nargin, cg_opt);
Error in convexPolytrope (line 38) K = convhulln(G);
What is wrong with my input that could produce the 'NaN or 'Inf' error?
It could be my choice of the inner point (second argument to the function) but I do not know in advance the required values for this based on the other input.

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on 8 May 2015

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