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math.MG2020
Apollonius surfaces, circumscribed spheres of tetrahedra, Menelaus' and Ceva's theorems in $\SXR$ and $\HXR$ geometries
Jenő Szirmai
In the present paper we study $\SXR$ and $\HXR$ geometries, which are homogeneous Thurston 3-geometries. We define and determine the generalized Apollonius surfaces and with them d…
math.MG2020★ 3 cited
Coverings with horo- and hyperballs generated by simply truncated orthoschemes
Miklós Eper, Jenő Szirmai
After having investigated the packings derived by horo- and hyperballs related to simple frustum Coxeter orthoscheme tilings we consider the corresponding covering problems (briefl…