A scrapbook of inadmissible line complexes for the X-ray transform

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