New posts in Polytopes

Intersection of hypercube and hyperplane - features of resulting polytope?

Projection of a hypercube along a long diagonal. What is this polytope called?

Minimal data required to determine a convex polytope

Is a polytope that has in-spheres for faces of all dimensions already regular?

Is there a 4-polytope without 3-gonal and 4-gonal faces, other than the 120-cell?

Why are we interested in permutahedra, associahedra, cyclohedra, ...?

Is there any edge- but not vertex-transitive polytope in $d\ge 4$ dimensions?

Who knows this convex polytope?

Given the vertices of a convex polytope, how can we construct its half-space representation?