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Titlebook: Discrete Geometry and Symmetry; Dedicated to Károly Marston D. E. Conder,Antoine Deza,Asia Ivić Weiss Conference proceedings 2018 Springer

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Monge Points, Euler Lines, and Feuerbach Spheres in Minkowski Spaces,y developed discipline. There are many natural notions and problems of elementary and classical geometry that were never investigated in this more general framework, although their Euclidean subcases are well known and this extended viewpoint is promising. An example is the geometry of simplices in
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Discrete Geometry and Symmetry978-3-319-78434-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
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https://doi.org/10.1007/978-1-4419-6035-1examples can be found in literature. We study finite rank 4 structures obtained by hexagonal extensions of toroidal hypermaps. Many new examples are produced that are regular or chiral, even when the extensions are polytopal. We also construct a new infinite family of finite nonlinear hexagonal extensions of the tetrahedron.
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Super Sinne - Warum wir 32 davon haben obtained: there is a tiling of the plane by pairwise non-congruent triangles of equal area such that their perimeter is bounded by some common constant. Several variants of the problem are stated, some of them are answered.
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