Do any contemporary architects
      understand enough about mathematics (beyond additive planning
      and accidental occurrences) to apply it in their work? And even
      if they did, why should they do so, given the collapse of ancient
      mimesis and related understanding until the 18th century, which
      was the foundation of such applications in the past?
      While I recognise that I have
      adopted a very negative view, I should like to be proved wrong,
      as the question is most interesting  and provocative!