Danzer's name is popularized in the concepts of a Danzer set, a set of points that touches all large convex sets, and the Danzer cube, an example of a non-shellable triangulation of the cube. It is an example of a power complex, studied by Danzer in the 1980s. The Danzer cube is example 8.9 in the book "Lectures on Polytopes" by G.M. Ziegler.
