Thanks for the bug report. I have opened sagemath issue 
<https://github.com/sagemath/sage/issues/39689>#39689 
<https://github.com/sagemath/sage/issues/39689> on github for this.

On Wednesday, March 12, 2025 at 7:47:31 AM UTC-6 leif....@gmail.com wrote:

> Hi, 
>
> I noticed a little bug in sage/geometry/polyhedral_complex.
>
> In line 1613 of is_convex the program calculates 
> center = sum(vertices) / len(vertices)
>
> If the complex has no relative boundary cells 
> (self.relative_boundary_cells()==[]) then "vertices" is an empty list. 
> Thus, causing a division by zero error. 
>
> I think that this can only happen if the polyhedral complex is empty or 
> the entire space, thus returning "True" in that case should resolve the 
> problem. 
>
> Best regards,
>
> Leif Jacob
>
>

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