New posts in Convex Geometry

Why is a polar cone a closed set?

Prove that 0 is in the convex hull of points chosen from each orthant

What is the difference between a unit simplex and a probability simplex?

Product of two polytopes is a polytope

What is the convex hull of $\text{conv}(u_1,u_2,\cdots,u_p)+\text{conv}(v_1,v_2,\cdots,v_s)$?

Let $\|\cdot\|$ be a norm on $\mathbb R^2$. Show that the perimeter of the closed unit ball is between $4$ and $12$.

Maximum area of triangle inside a convex polygon

Why is the Barycenter operation in Hadamard spaces Lipschitz continuous?

Set of diameter $\le 1$ contained in set of constant width $1$

Proof that the set $\{ x \in R^n | Ax \leq b, Cx = d \}$ is convex