  The cross-ratio degree problem counts configurations of n points on P^1 with
n-3 prescribed cross-ratios. Cross-ratio degrees arise in many corners of
combinatorics and geometry, but their structure is not well-understood in
general. Interestingly, examining various special cases of the problem can
yield combinatorial structures that are both diverse and rich. In this paper we
prove a simple closed formula for a class of cross-ratio degrees indexed by
triangulations of an n-gon; these degrees are connected to the geometry of the
real locus of M_{0,n}, and to positive geometry.
