21 citations · 44 across the 5 of their papers we have counts for
4 papers · 1 filter
On the Existence of -Polygons of Class in Planar Point Sets
Christian Huck
For a finite set of directions in the Euclidean plane, a convex non-degenerate polygon is called a -polygon if every line parallel to a direction of that meets a ver…
A Note on Affinely Regular Polygons
Christian Huck
The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequenc…
Discrete Tomography of Icosahedral Model Sets
Christian Huck
The discrete tomography of B-type and F-type icosahedral model sets is investigated, with an emphasis on reconstruction and uniqueness problems. These are motivated by the request…
Discrete Tomography of Planar Model Sets
M. Baake, P. Gritzmann, C. Huck +2
Discrete tomography is a well-established method to investigate finite point sets, in particular finite subsets of periodic systems. Here, we start to develop an efficient approach…