  We consider a finite field model of the X-ray transform that integrates
functions along lines in dimension 3, within the context of finite fields. The
admissibility problem asks for minimal sets of lines for which the restricted
transform is invertible. Graph theoretic conditions are known which
characterize admissible collections of lines, and these have been counted using
a brute force computer program. Here we perform the count by hand and, at the
same time, produce a detailed illustration of the possible structures of
inadmissible complexes. The resulting scrapbook may be of interest in an
artificial intelligence approach to enumerating and illustrating admissible
complexes in arbitrary dimensions (arbitrarily large ambient spaces, with
transforms integrating over subspaces of arbitrary dimensions.)
