Martin Doležal

activity

20232026

most citedBetweenness isomorphism classes of circles with finitely many points inside

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2026

The harmonic curvature of 3-link snake robots

Martin Doležal

The $3$ -link snake robot is an example of a non-holonomic mechanical system with rank $2$ distribution in a $5$ -dimensional configuration space. It is one of $(2, 3, 5)$ -geometries,…

math.MG2024

The betweenness relation distinguishes non-similar pairs of concentric circles

Martin Doležal, Jan Kolář, Janusz Morawiec

Two subsets $A, B$ of the plane are betweenness isomorphic if there is a bijection $f : A \to B$ such that, for every $x, y, z \in A$ , the point $f (z)$ lies on the line segment con…

math.MG2023★ 1 cited

Betweenness isomorphism classes of circles with finitely many points inside

Martin Doležal, Jan Kolář, Janusz Morawiec

We give a necessary and sufficient condition for two circles, each with finitely many points added inside, to be betweenness isomorphic. We fully characterize the betweenness isomo…