How big is my slice of cheese?

오버불파크에서 찍은 현대수학의 면모

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.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

수학적 주제

이산수학/수학기초론

기하학/위상수학

다른 분야와의 연관성

컴퓨터 과학

저자

Chiara Meroni

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2026-006-EN

PDF 다운로드

application/pdf

snapshot-2026-006.pdf

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snapshots: overview

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Fracture Mechanics: A Nonlocal Approach

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Is there a smooth lattice polytope which does not have the integer decomposition property?

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Trisections of four-dimensional spaces

The five Platonic solids and their connection to root systems

Five ways to spell ADE

Convex polytopes and linear programs

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Truncated fusion rules for supergroups

Uncertainty as an ingredient in financial modeling

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Voronoi Cells: Or How to Find the Nearest Bakery

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Characterizations of intrinsic volumes on convex bodies and convex functions

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A tale of three curves

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Representations and degenerations

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Seeing through rock with help from optimal transport

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Searching for the Monster in the Trees

The Robinson–Schensted algorithm

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Emergence in biology and social sciences

Lagrangian mean curvature flow

Finite geometries: pure mathematics close to applications

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Quantum symmetry

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Describing distance: from the plane to spectral triples

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The Enigma behind the Good–Turing formula

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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From the dollar game to the Riemann-Roch Theorem

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Quantum symmetry

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Vertex-to-Self Trajectories on the Platonic Solids

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Random matrix theory: Dyson Brownian motion

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From Betti numbers to l2-Betti numbers

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Jan-Bernhard Kordaß

The Interaction of Curvature and Topology

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Formation Control and Rigidity Theory

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Antonio Lerario

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Computing with symmetries

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Topological recursion

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Spaces of Riemannian metrics

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Computational Optimal Transport

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George Hagedorn, Caroline Lasser

Molecular quantum dynamics

Closed geodesics on surfaces and Riemannian manifolds

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Aperiodic Order and Spectral Properties

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Laurent Bartholdi

Profinite groups

Dietmar Gallistl

The adaptive finite element method

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The Willmore Conjecture

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The ternary Goldbach Problem

Wolfgang Lerche

Matrixfaktorisierungen

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Dirichlet Series

수학적 주제

대수학/정수론

해석학

수학교육/교수법

이산수학/수학기초론

기하학/위상수학

수치해석/과학계산

확률론/통계학

다른 분야와의 연관성

화학 및 지구과학

컴퓨터 과학

공학

금융

인문/사회과학

생명 과학

물리학

수학 전반에 대한 소고

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