Mathematics - Metric Geometry

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Differential Geometry The Intricate World of Manifolds and Minimal Surfaces

Discover the fascinating relationship between shapes and surfaces in geometry.

Qixuan Hu, Guoyi Xu, Shuai Zhang

2025-04-24T21:26:42+00:00 ― 6 min read

Latest Articles

Metric Geometry The Geometry of Radial Mean Bodies

Discover the fascinating world of planar radial mean bodies in geometry.

J. Haddad

2025-04-13T04:31:20+00:00 ― 6 min read

Metric Geometry The Fascinating World of Diversities in Mathematics

Learn how diversities measure differences within sets of points.

David Bryant, Paul Tupper

2025-03-24T15:40:40+00:00 ― 6 min read

Dynamical Systems The Intricacies of Self-Affine Sets

Discover the fascinating world of self-affine sets and their unique properties.

Roope Anttila, Alex Rutar

2025-03-23T23:41:40+00:00 ― 5 min read

Metric Geometry The Wild World of Random Fractals

Explore the fascinating intersection of randomness and geometry through random fractals.

Gefei Cai, Wen-Bo Li, Tim Mesikepp

2025-03-22T23:43:10+00:00 ― 7 min read

Metric Geometry Exploring Volumetric Moments in Geometry

A dive into the fascinating world of polytopes and volumetric moments.

Dominik Beck

2025-03-21T07:45:40+00:00 ― 7 min read

Metric Geometry Journey into Gromov-Hyperbolic Spaces

Discover the intriguing world of Gromov-hyperbolic spaces and their real-world applications.

Nicola Cavallucci

2025-03-06T16:07:40+00:00 ― 7 min read

Algebraic Topology Understanding Coarse Geometry: A Big Picture Perspective

Discover the fascinating world of coarse geometry and its key concepts.

Ulrich Bunke

2025-03-06T13:27:50+00:00 ― 7 min read

Group Theory Decoding Higher-Rank Sol-Type Groups

Exploring the complex world of higher-rank Sol-type groups in mathematics.

Daniel N. Levitin

2025-03-04T16:10:40+00:00 ― 6 min read

Metric Geometry The Wonders of Spherical Quadrilaterals

Discover the intriguing world of spherical quadrilaterals and their unique properties.

Marek Lassak

2025-03-02T21:33:20+00:00 ― 5 min read

Combinatorics The Mystery of Unit-Distance Graphs

Discover the quest to maximize connections in unit-distance graphs.

Boris Alexeev, Dustin G. Mixon, Hans Parshall

2025-03-01T18:55:00+00:00 ― 5 min read

Metric Geometry The Quirky World of Reuleaux Polygons

Discover the unique properties and real-world applications of Reuleaux polygons.

Beniamin Bogosel

2025-02-21T21:46:50+00:00 ― 6 min read

Probability The Geometry of Randomness: Exploring Balls

Uncover the effects of randomness on shapes, focusing on spheres and their properties.

Joscha Prochno, Christoph Thaele, Philipp Tuchel

2025-02-14T03:18:30+00:00 ― 5 min read

Metric Geometry Understanding Metric Spaces: A Simple Guide

Learn about metric spaces and their role in measuring distances.

Denis Marti, Elefterios Soultanis

2025-02-12T19:20:30+00:00 ― 6 min read

Metric Geometry The Traveling Salesman Challenge: Beyond Simple Routes

Discover the complexities of optimizing travel routes through fascinating principles and case studies.

Cosmas Kravaris

2025-02-12T06:01:20+00:00 ― 6 min read

Metric Geometry Mapping Distances: The Farthest Point Concept

Discover the fascinating world of farthest point mapping in geometry.

Yoshikazu Yamagishi

2025-02-08T11:27:00+00:00 ― 6 min read

Computational Geometry Exploring Minimum Enclosing Balls in Metric Spaces

Discover how minimum enclosing balls work in the fascinating world of metric spaces.

Hridhaan Banerjee, Carmen Isabel Day, Megan Hunleth

2025-02-08T08:47:10+00:00 ― 6 min read

Classical Analysis and ODEs Decoding the Falconer Distance Problem

Explore the fascinating world of distances in compact sets.

Paige Bright, Caleb Marshall, Steven Senger

2025-02-06T08:50:10+00:00 ― 6 min read

Classical Analysis and ODEs The Intrigue of Spread Furstenberg Sets

Discover the fascinating world of spread Furstenberg sets in geometry.

Paige Bright, Manik Dhar

2025-02-01T08:57:40+00:00 ― 6 min read

Optimization and Control Revolutionizing Set Operations: The Extended Set Difference

Learn how a new method simplifies complex set differences.

Arie Beresteanu, Behrooz Moosavi Ramezanzadeh

2025-01-28T03:44:00+00:00 ― 6 min read

Differential Geometry Discovering the Secrets of Metric Spaces

An overview of metric spaces, curvature, and their fascinating properties.

Xin Qian

2025-01-25T06:28:20+00:00 ― 6 min read

Metric Geometry Microsets and Dimensions: A Mathematical Journey

Explore the fascinating world of microsets and their dimensions in mathematics.

Richárd Balka, Vilma Orgoványi, Alex Rutar

2025-01-22T06:32:50+00:00 ― 7 min read