How big is my slice of cheese?

Instantáneas de la actualidad matemática desde Oberwolfach

How big is my slice of cheese?

In this snapshot, we introduce the study of slices of polytopes – geometric shapes with flat sides – and examine the area of these slices. This is connected to combinatorics and polynomials and is surprisingly complex, even in three dimensions. Since we are greedy humans, we conclude by finding the largest possible slice of cheese.

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Área matemática

Matemática discreta y Fundamentos
Geometría y Topología

Relaciones con otros campos

Informática

Autor(es)

Chiara Meroni

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2026-006-EN

Descargar PDF

snapshot-2026-006.pdf

PDF

snapshots: overview

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Trisections of four-dimensional spaces
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Convex polytopes and linear programs
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Truncated fusion rules for supergroups
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The geometry of fair division
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4 = 2 × 2, or the power of even integers in Fourier analysis
Isabelle Baraquin, Nadia Lafrenière, Katharina Schuh
Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
Vern I. Paulsen
Algebras and quantum games
Ingmar Saberi
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The periodic tables of algebraic geometry
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Patterns and waves in theory, experiment, and application
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Closed geodesics on surfaces
Kathrin Hellmuth, Christian Klingenberg
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Fabian Mussnig
Characterizations of intrinsic volumes on convex bodies and convex functions
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Michael Baake, Uwe Grimm, Robert V. Moody
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Representations and degenerations
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Searching for the Monster in the Trees
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The Robinson–Schensted algorithm
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Lagrangian mean curvature flow
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Finite geometries: pure mathematics close to applications
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Quantum symmetry
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
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Invitation to quiver representation and Catalan combinatorics
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Searching for structure in complex data: A modern statistical quest
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C∗-algebras: structure and classification
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Behrend Heeren, Martin Rumpf
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Joshua Zahl
Rotating needles, vibrating strings, and Fourier summation
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Quantum symmetry
Christian Berg
Determinacy versus indeterminacy
Jayadev S. Athreya, David Aulicino
Vertex-to-Self Trajectories on the Platonic Solids
Gianluca Finocchio
Random matrix theory: Dyson Brownian motion
Holger Kammeyer, Roman Sauer
From Betti numbers to l2-Betti numbers
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The Interaction of Curvature and Topology
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The Mathematics of Fluids and Solids
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A surprising connection between quantum mechanics and shallow water waves
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Formation Control and Rigidity Theory
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Expander graphs and where to find them
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Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
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Positive Scalar Curvature and Applications
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Diophantine equations and why they are hard
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On radial basis functions
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Snake graphs, perfect matchings and continued fractions
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Estimating the volume of a convex body
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Mixed volumes and mixed integrals
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A short story on optimal transport and its many applications
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Number theory in quantum computing
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The codimension
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The mathematics of aquatic locomotion
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Tropical geometry
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Thomas Sauer
Prony’s method: an old trick for new problems
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Computing with symmetries
Piotr Sułkowski
Topological recursion
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The Algebraic Statistics of an Oberwolfach Workshop
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Solving quadratic equations in many variables
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Mathematics plays a key role in scientific computing
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Spaces of Riemannian metrics
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Computational Optimal Transport
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A few shades of interpolation
George Hagedorn, Caroline Lasser
Molecular quantum dynamics
Marco Radeschi
Closed geodesics on surfaces and Riemannian manifolds
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Mathematische Modellierung von Krebswachstum
Michael Baake, David Damanik, Uwe Grimm
Aperiodic Order and Spectral Properties
Lukas Pottmeyer
News on quadratic polynomials
Felix Günther
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Jacob Bedrossian
Towards a Mathematical Theory of Turbulence in Fluids
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Profinite groups
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The adaptive finite element method
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Footballs and donuts in four dimensions
Nikolai Nowaczyk
The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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High performance computing on smartphones
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Symmetry and characters of finite groups
Maria Dostert, Stefan Krupp, Jan Hendrick Rolfes
Das Problem der Kugelpackung
Tomasz Szemberg, Justyna Szpond
On the containment problem
Éric Fusy
Random sampling of domino and lozenge tilings
Magnus Egerstedt
Swarming robots
Ulrich Krähmer
From computer algorithms to quantum field theory: an introduction to operads
Juanjo Rué
Domino tilings of the Aztec Diamond
Sebastian Funk
The mystery of sleeping sickness – why does it keep waking up?
Antti Knowles
Quantum diffusion
Amanda Swan, Albert Murtha
Modelling the spread of brain tumours
J. Marron
Visual Analysis of Spanish Male Mortality
Christopher Sangwin
Curriculum development in university mathematics: where mathematicians and education collide
Jürg Kramer, Anna-Maria Pippich
Special values of zeta functions and areas of triangles
Victoria Powers
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Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin
Ideas of Newton-Okounkov bodies
Ben Schweizer
Darcy’s law and groundwater flow modelling
Raluca Eftimie
Modelling communication and movement: from cells to animals and humans
Tom Solomon
Chaos and chaotic fluid mixing
Thorsten Holm
Friezes and tilings
George Willis
Zero-dimensional symmetry
Christine Breiner
Minimizing energy
Diana Davis
Billiards and flat surfaces
Peter Benner, Hermann Mena, René Schneider
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Gregory Knese
Operator theory and the singular value decomposition
Alain Valette
The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
Swallowtail on the shore
Howell Tong
Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Área matemática

Álgebra y Teoría de números
Análisis
Didáctica y Educación
Matemática discreta y Fundamentos
Geometría y Topología
Cálculo numérico y científico
Teoría de la probabilidad y Estadística

Relaciones con otros campos

Química y Ciencias de la Tierra
Informática
Ingeniería y Tecnología
Finanzas
Humanidades y Ciencias sociales
Ciencias de la vida
Física
Reflexiones sobre la matemática

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