K. Kusejko

collaborators

2 papers

math.CO2015

Steiner's Porism in finite Miquelian Möbius planes

Norbert Hungerbühler, Katharina Kusejko

We investigate Steiner's Porism in finite Miquelian Möbius planes constructed over the pair of finite fields $GF (p^{m})$ and $GF (p^{2 m})$ , for $p$ an odd prime and $m \geq 1$ . Proper…

math.MG2015

A Valuation-Theoretic Approach to Translative-Equidecomposability

Katharina Kusejko, Lukas Parapatits

All simple translation-invariant valuations on polytopes are classified. As a direct consequence the well-known conditions for translative-equidecomposability are recovered. Furthe…