A polytopal generalization of Apollonian packings and Descartes' theorem
JLR Alfonsín, I Rasskin - arXiv preprint arXiv:2107.09432, 2021 - arxiv.org
We present a generalization of Descartes' theorem for the family of polytopal sphere
packings arising from uniform polytopes. The corresponding quadratic equation is …
packings arising from uniform polytopes. The corresponding quadratic equation is …
Regular polytopes, sphere packings and Apollonian sections
I Rasskin - Geometriae Dedicata, 2024 - Springer
In this paper, we explore the geometry and the arithmetic of a family of polytopal sphere
packings induced by regular polytopes. We prove that every integral polytope is …
packings induced by regular polytopes. We prove that every integral polytope is …
[PDF][PDF] At the moment, I am dedicated to promote another golden age of TPMSs. The goal is to make progress towards an ultimate classification of all TPMSs of genus …
HAO CHEN - dr-how.github.io
1.1. Motivations from physics. In 2011, Lu Han et al.[HXBC11] synthesized silica
mesoporous crystals with polyhedral hollow cavities. Crystallographic analysis reveals …
mesoporous crystals with polyhedral hollow cavities. Crystallographic analysis reveals …
[PDF][PDF] Research Interest
P Kosicki - Education, 2023 - dsps.ceu.edu
Krystof Dolezal Page 1 Krystof Dolezal Curriculum Vitae Permanent address: Prague, Czech
Republic / Study address: Vienna, Austria +420602576391 / dolezal_krystof@phd.ceu.edu 1 …
Republic / Study address: Vienna, Austria +420602576391 / dolezal_krystof@phd.ceu.edu 1 …