  Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of
computing scattering amplitudes in theoretical physics. We show that a positive
geometry from a polytope admits a log resolution of singularities to another
positive geometry. Our result states that the regions in a wonderful
compactification of a hyperplane arrangement complement, which we call
wondertopes, are positive geometries. A familiar wondertope is the curvy
associahedron, which tiles the moduli space of pointed stable rational curves.
Thus our work generalizes the known positive geometry structure on this moduli
space.
