On expected face numbers of random beta and beta’ polytopes

JOURNAL ARTICLE published March 2023 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Research funded by Deutsche Forschungsgemeinschaft (EXC 2044 – 390685587)

Authors: Zakhar Kabluchko

Intersection bodies of polytopes

JOURNAL ARTICLE published June 2022 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Authors: Katalin Berlow | Marie-Charlotte Brandenburg | Chiara Meroni | Isabelle Shankar

Decompositions of binomial ideals

JOURNAL ARTICLE published 2012 in Journal of Software for Algebra and Geometry

Authors: Thomas Kahle

Exterior algebra and projections of polytopes

JOURNAL ARTICLE published June 1990 in Discrete & Computational Geometry

Authors: P. Filliman

A duality transform for constructing small grid embeddings of 3d polytopes

JOURNAL ARTICLE published July 2016 in Computational Geometry

Research funded by DFG (SCHU 2458/2-1)

Authors: Alexander Igamberdiev | André Schulz

Correction to: Intersection bodies of polytopes

JOURNAL ARTICLE published June 2022 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Authors: Katalin Berlow | Marie-Charlotte Brandenburg | Chiara Meroni | Isabelle Shankar

Smooth Fano Polytopes Arising from Finite Partially Ordered Sets

JOURNAL ARTICLE published April 2011 in Discrete & Computational Geometry

Authors: Takayuki Hibi | Akihiro Higashitani

Small Grid Embeddings of 3-Polytopes

JOURNAL ARTICLE published January 2011 in Discrete & Computational Geometry

Authors: Ares Ribó Mor | Günter Rote | André Schulz

polyDB: A Database for Polytopes and Related Objects

BOOK CHAPTER published 2017 in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Authors: Andreas Paffenholz

A Helly-type theorem for intersections of certain orthogonal polytopes starshaped via k-staircase paths

JOURNAL ARTICLE published December 2020 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Authors: Marilyn Breen

Separation in totally-sewn 4-polytopes with the decreasing universal edge property

JOURNAL ARTICLE published March 2012 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Authors: T. Bisztriczky | F. Fodor | D. Oliveros

A new algorithm to classify chiral polytopes with a given automorphism group

JOURNAL ARTICLE published March 2021 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Authors: Francis Buekenhout | Dimitri Leemans | Philippe Tranchida

Examples of Kähler–Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes

JOURNAL ARTICLE published October 2011 in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Authors: Benjamin Nill | Andreas Paffenholz

Polytopes

BOOK CHAPTER published 5 March 1998 in Algorithmic Geometry

Débats

JOURNAL ARTICLE published 1 December 2010 in LEGICOM

Defect polytopes and counter-examples with polymake

JOURNAL ARTICLE published 23 January 2012 in ACM Communications in Computer Algebra

Authors: Michael Joswig | Andreas Paffenholz

The Banquet

BOOK CHAPTER published 31 December 1993 in Marginal Voices

Hyper-Involutive Decomposition of a Simple Compact Lie Algebra

BOOK CHAPTER published in Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces

Algebra and Geometry

BOOK CHAPTER published 1988 in Mechanical Geometry Theorem Proving

Authors: Shang-Ching Chou

Algebra

BOOK CHAPTER published in Geometric Algebra with Applications in Engineering