  A Metis design is one for which v=r+k+1. This paper deals with Metis designs
that are quasi-residual. The parameters of such designs and the corresponding
symmetric designs can be expressed by Fibonacci numbers. Although the question
of existence seems intractable because of the size of the designs, the
nonexistence of corresponding difference sets can be dealt with in a
substantive way. We also recall some inequalities for the number of fixed
points of an automorphism of a symmetric design and suggest possible
connections to the designs that would be the symmetric extensions of Metis
designs.
