  In the article "Construction of the continuous hull for the combinatorics of
a regular pentagonal tiling of the plane" we constructed the continuous hull
for the combinatorics of "A regular pentagonal tiling of the plane", and in the
article "Continuous hull of a combinatorial pentagonal tiling as an inverse
limit" we showed how we could write this hull as an inverse limit. In this
paper we show how to compute the cohomology of the hull and its topological
K-theory.
