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566 citations

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math.MG2008★ 4 cited

On the Existence of $U$ -Polygons of Class $c \geq 4$ in Planar Point Sets

Christian Huck

For a finite set $U$ of directions in the Euclidean plane, a convex non-degenerate polygon $P$ is called a $U$ -polygon if every line parallel to a direction of $U$ that meets a ver…

math.MG2008★ 8 cited

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…

On the Existence of U-Polygons of Class c≥4 in Planar Point Sets

A Note on Affinely Regular Polygons

On the Existence of $U$ -Polygons of Class $c \geq 4$ in Planar Point Sets