13 citations · 23 across the 9 of their papers we have counts for
12 papers
Fair partitions of the plane into incongruent pentagons
Dirk Frettlöh, Christian Richter
Motivated by a question of R.\ Nandakumar, we show that the Euclidean plane can be dissected into mutually incongruent convex pentagons of the same area and the same perimeter.
Coproximinality of linear subspaces in generalized Minkowski spaces
Thomas Jahn, Christian Richter
We show that, for vector spaces in which distance measurement is performed using a gauge, the existence of best coapproximations in -codimensional closed linear subspaces implie…
The complete characterization of tangram pentagons
Sarah Sophie Pohl, Christian Richter
The old Chinese puzzle tangram gives rise to serious mathematical problems when one asks for all tangram figures that satisfy particular geometric properties. All convex tangr…
Incongruent equipartitions of the plane into quadrangles of equal perimeter
Dirk Frettlöh, Christian Richter
Motivated by a question of R.\ Nandakumar, we show that the Euclidean plane can be dissected into mutually incongruent convex quadrangles of the same area and the same perimeter. A…
On the monotonicity of the isoperimetric quotient for parallel bodies
Christian Richter, Eugenia Saorín Gómez
The isoperimetric quotient of the whole family of inner and outer parallel bodies of a convex body is shown to be decreasing in the parameter of definition of parallel bodies, alon…
Incongruent equipartitions of the plane
Dirk Frettlöh, Christian Richter
R. Nandakumar asked whether there is a tiling of the plane by pairwise incongruent triangles of equal area and equal perimeter. Recently a negative answer was given by Kupavskii, P…