How big is my slice of cheese?

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Diskrete Mathematik und Grundlagen
Geometrie und Topologie

Verbindung zu anderen Gebieten

Informatik

Autor(en)

Chiara Meroni

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2026-006-EN

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snapshot-2026-006.pdf

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snapshots: overview

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The periodic tables of algebraic geometry
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Closed geodesics on surfaces
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A tale of three curves
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Lagrangian mean curvature flow
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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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Rotating needles, vibrating strings, and Fourier summation
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Vertex-to-Self Trajectories on the Platonic Solids
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Snake graphs, perfect matchings and continued fractions
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Mixed volumes and mixed integrals
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Tropical geometry
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Computing with symmetries
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Topological recursion
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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
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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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
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The Willmore Conjecture
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Polyhedra and commensurability
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On the containment problem
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Swarming robots
Ulrich Krähmer
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Ideas of Newton-Okounkov bodies
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Darcy’s law and groundwater flow modelling
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Tom Solomon
Chaos and chaotic fluid mixing
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Friezes and tilings
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Zero-dimensional symmetry
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Billiards and flat surfaces
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Operator theory and the singular value decomposition
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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Dirichlet Series

Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
Biowissenschaft
Physik
Überlegungen zur Mathematik

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