Reflexive polytopes of higher index and the number 12

QR Code

Reflexive polytopes of higher index and the number 12

We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a change of the underlying lattice. This allows us to...

Full description

Bibliographic Details
Main Authors:	Kasprzyk, Alexander M., Nill, Benjamin
Format:	Article
Published:	Electronic Journal of Combinatorics 2012
Subjects:	Convex lattice polygons; reflexive polytopes
Online Access:	https://eprints.nottingham.ac.uk/30721/

Similar Items

The boundary volume of a lattice polytope
by: Hegedüs, Gábor, et al.
Published: (2011)

The Combinatorics of Lattice Polytopes
by: Hall, Thomas
Published: (2024)

Roots of Ehrhart polynomials of smooth Fano polytopes
by: Hegedüs, Gábor, et al.
Published: (2011)

Growing Classifications: Widths, Ehrhart Theory and Spherical Geometry
by: Hamm, Girtrude
Published: (2025)

Toric Fano three-folds with terminal singularities
by: Kasprzyk, Alexander M.
Published: (2006)

Reflexive nests of finite subsets of a Banach space
by: Harrison, K., et al.
Published: (2014)

The Reflexivity Index of a Finite Distributive Lattice of Subspaces
by: Harrison, K., et al.
Published: (2014)

Fano polytopes
by: Kasprzyk, Alexander M., et al.
Published: (2013)

Small polygons and toric codes
by: Brown, Gavin, et al.
Published: (2013)

General relation between sums of figurate numbers
by: Mohamat Johari, Mohamat Aidil
Published: (2013)

Australian Higher Education Reform: A Reflexive Modernisation Perspective
by: Pick, David
Published: (2005)

Adaptive discontinuous Galerkin methods on polytopic meshes
by: Collis, Joe, et al.
Published: (2016)

Higher education reform in Australia: a reflexive modernisation perspective
by: Pick, David
Published: (2006)

Pencirian pokok poligon = (A characterization of polygon tree).
by: Peng, Yee-Hock
Published: (1990)

Mutations of fake weighted projective spaces
by: Coates, Tom, et al.
Published: (2014)

The reflexive modernization of Australian universities
by: Pick, David
Published: (2004)

New ethnicities online: reflexive racialisation and the internet
by: Parker, David, et al.
Published: (2006)

Globalisation, reflexive modernisation, and development: the case of India
by: Pick, David, et al.
Published: (2006)

hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
by: Cangiani, Andrea, et al.
Published: (2016)

No evidence hip joint angle modulates intrinsically produced stretch reflex in human hopping.
by: Gibson, William, et al.
Published: (2013)

Risk and reflexivity in the development of Irish child protection law and policy, 1919-2017
by: Walsh, Kieran
Published: (2018)

Reflexivity and reflection in an Australian mobile phone study: A methodological discussion
by: Lloyd, Clare
Published: (2009)

A note on palindromic δ-vectors for certain rational polytopes
by: Fiset, Matthew, et al.
Published: (2008)

Does Bio-Demographic Diversity influence team innovation through participation safety climate and team reflexivity
by: Abdullah, Maznah, et al.
Published: (2012)

Journalism practice and critical reflexivity: A death in custody interview
by: Mason, Bonita
Published: (2014)

The views and experiences of school leaders implementing whole school relational approaches in a single secondary school: A Reflexive Thematic Analysis
by: Dodds, Jessica Fay
Published: (2023)

Evaluation of pre-pulse inhibition of the post auricular muscle reflex as an indicator for the presence of tinnitus
by: Wilson, Caroline
Published: (2018)

Pupil light reflex evoked by light-emitting diode and computer screen: methodology and association with need for recovery in daily life
by: Wang, Yang, et al.
Published: (2018)

When “He” can also be “She”: an ERP study of reflexive pronoun resolution in written mandarin Chinese
by: Su, Jui-Ju, et al.
Published: (2016)

G-angulability of convex geometric graphs
by: al-Hakeem, Niran Abbas Ali
Published: (2018)

Exploring school staff members’ understanding about influences on the experiences and belonging of students of Caribbean Descent in schools: A Reflexive Thematic Analysis.
by: Dyer, Lydia
Published: (2022)

“Hope isn’t actually lost yet”: A reflexive thematic analysis exploring young people’s views and feelings towards climate change
by: Payton, Joanna
Published: (2023)

Minkowski polynomials and mutations
by: Akhtar, Mohammad, et al.
Published: (2012)

A novel framework for making dominant point detection methods non-parametric
by: Prasad, Dilip K., et al.
Published: (2012)

Successive Convex Approximations to Cardinality-Constrained Convex Programs: A Piecewise-Linear DC Approach
by: Zheng, X., et al.
Published: (2014)

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Antonietti, P. F., et al.
Published: (2017)

Connectivity of cubical polytopes
by: Bui, Hoa, et al.
Published: (2020)

Development of Path Loss Models for Smooth and Convex Surfaces Terrains in Malaysian Environment
by: Wong, Peng Kiong
Published: (2004)

Pursuit differential game of many pursuers and one evader in a convex hyperspace
by: Jaman@Zaman, Khairunnisa
Published: (2020)

On the combinatorial classification of toric log del Pezzo surfaces
by: Kasprzyk, Alexander M., et al.
Published: (2010)