Voronoĭ's conjecture and space tiling zonotopes (original) (raw)

Properties of parallelotopes equivalent to Voronoi’s conjecture

Michel Deza

European Journal of Combinatorics, 2004

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On the sum of the Voronoi polytope of a lattice with a zonotope

Mathieu Dutour Sikiric

2012

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Proof of the Voronoi conjecture for 3-irreducible parallelotopes

Andrei Ordine

arXiv: Metric Geometry, 2017

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On the sum of the Voronoi polytope of the lattice E_6E_6E_6 with a zonotope

Mathieu Dutour Sikiric

2012

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On hyperplanes and polytopes

T. Bisztriczky, Károly Bezdek

Monatshefte f�r Mathematik, 1990

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On Regular Polytopes

Cristian Esteban Neira Rivera

Reports on Mathematical Physics, 2013

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Notes on Convex Sets, Polytopes, Polyhedra, Combinatorial Topology, Voronoi Diagrams and Delaunay Triangulations

Jean Gallier

2008

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On the Number of Lattice Free Polytopes

jean-michel kantor

European Journal of Combinatorics, 2000

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Arbitrarily large neighborly families of congruent symmetric convex 3-polytopes With Scott Kim

Jeff Erickson

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Elemente der Mathematik Euler's polyhedron formula – a starting point of today's polytope theory

Tuan Anh Le

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Translational tilings by a polytope, with multiplicity

sinai robins

Combinatorica, 2012

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On decomposition of polyhedra into a Cartesian product of 1-dimensional and 2-dimensional factors

Witold Rosicki

Colloquium Mathematicum

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On Polyhedrons

Keerti Vardhan

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Lattice-free polytopes and their diameter

Shmuel Onn

Discrete & Computational Geometry, 1995

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Primitive Zonotopes

Shmuel Onn

2016

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Ball polytopes and the V�zsonyi problem

Yaakov Kupitz

Acta Math Hung, 2010

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Polytopes that fill ℝn and scissors congruenceand scissors congruence

Jeffrey Lagarias

Discrete & Computational Geometry, 1995

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Voronoi polytopes for polyhedral norms on lattices

Michel Deza

Discrete Applied Mathematics, 2014

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Lattices compatible with regular polytopes

Peter McMullen

European Journal of Combinatorics, 2008

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Polyhedra and polytopes: algebra and combinatorics

Peter McMullen

Contemporary Mathematics, 2006

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Lawrence Oriented Matroids and a Problem of McMullen on Projective Equivalences of Polytopes

jorge alfonsin Alfonsin

European Journal of Combinatorics, 2001

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Universal counting of lattice points in polytopes

jean-michel kantor

Arxiv preprint math/9905109, 1999

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A Problem of McMullen on the Projective Equivalences of Polytopes

Raul Cordovil

European Journal of Combinatorics, 1985

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Duality, sections and projections of certain Euclidean tilings

Peter McMullen

Geometriae Dedicata, 1994

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MUBs, Polytopes, and Finite Geometries

Ingemar Bengtsson

AIP Conference Proceedings, 2005

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Linearly Stable Polytopes

Peter McMullen

Canadian Journal of Mathematics, 1969

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The Vector Balancing Constant for Zonotopes

Laurel Heck

Cornell University - arXiv, 2022

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Construction theorems for polytopes

Ido Shemer

Israel Journal of Mathematics, 1984

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Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem

Rade Zivaljevic

Computational Geometry, 2015

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Unimodality Questions for Integrally Closed Lattice Polytopes

Jan Schepers

Annals of Combinatorics, 2013

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A note on Nk configurations and theorems in projective space

David Glynn

Bulletin of The Australian Mathematical Society, 2007

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Polyhedra with the Integer Carathéodory Property

Dion Gijswijt

Journal of Combinatorial Theory, Series B, 2012

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On the number of convex lattice polytopes

Anatoly M Vershik

Geometric and Functional Analysis, 1992

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Hypermetrics in Geometry of Numbers

Michel Deza

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Lattice zonotopes of degree 2

Ellinor Janssen

2022

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