Polytopes and Discrete Geometry

Häftad, Engelska, 2021

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Beskrivning

This volume contains the proceedings of the AMS Special Session on Polytopes and Discrete Geometry, held from April 21-22, 2018, at Northeastern University, Boston, Massachusetts. The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string $C$-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string $C$-groups; hypertopes; and graph coloring.

Produktinformation

Utgivningsdatum:2021-05-30
Mått:178 x 254 x 18 mm
Vikt:515 g
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:272
Förlag:American Mathematical Society
ISBN:9781470448974

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Gabriel Cunningham, University of Massachusetts Boston, MAMark Mixer, Wentworth Institute of Technology, Boston, MAEgon Schulte, Northeastern University, Boston, MA

Innehållsförteckning

M. M. Bayer, The $cd$-index: A surveyT. Bisztriczky and D. Oliveros, $d$-dimensional self-dual polytopes and Meissner polytopesP. A. Brooksbank, On the ranks of string $C$-group representations for symplectic and orthogonal groupsJ. Damasco and D. Frettloh, Perfect colorings of regular graphsJ. A. De Loera, T. A. Hogan, F. Meunier, and N. H. Mustafa, Tverberg theorems over discrete sets of pointsA. Deza, L. Pournin, and R. Rakotonarivo, The vertices of primitive zonotopesM. G. Dobbins and F. Frick, Barycenters of points in polytope skeletaM. E. Fernandes, D. Leemans, C. Piedade, and A. I. Weiss, Two families of locally toroidal regular 4-hypertopes arising from toroidsA. Jensen, Self-polar polytopesK.-i. Kawarabayashi, P. Klavik, B. Mohar, R. Nedela, and P. Zeman, Isomorphisms of maps on the sphereJ. Lawrence, Some enumeration relating to intervals in posetsD. Leemans, String $C$-group representations of almost simple groups: A surveyU. Leopold and T. W. Tucker, Orientation-reversing symmetry of closed surfaces immersed in Euclidean 3-spaceP. McMullen, Realizations of the 120-cellE. Schulte, P. Soberon, and G. I. Williams, Prescribing symmetries and automorphisms for polytopesM. Senechal and J. E. Taylor, The rhombic triacontahedron and crystallographyM. D. Tomenes and M. L. A. N. De Las Penas, Tilings with congruent edge coronae.