Mathematicians invented a knitting stitch that stops mistakes from spreading
With a little help from knot theory, scientists have invented a “robust knit” to fight laddering
topology
An interactive introduction to the spanning tree protocol
Root election, port roles, proposals and agreements, topology changes: explore RSTP through simulations powered by MSTPD compiled to WebAssembly.
Two Researchers Are Rebuilding Mathematics From the Ground Up | Quanta Magazine
By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far bigger program to understand why numbers behave the way they do.
Network Clustering and Triadic Closure: Revealing Relationship Patterns with Python
Learn how to measure network clustering and triadic closure in Python to identify tightly-knit groups and bridge nodes.
triadic closure
What is Knot Theory? Solve These Puzzles to Find Out
Learn the fundamentals of the burgeoning field of knot theory while solving some puzzles along the way
These Mysterious Shapes Are at the Heart of Math’s Biggest Puzzles
Mathematicians describe the most beautiful and beguiling forms and surfaces they know
New Sphere-Packing Record Stems From an Unexpected Source | Quanta Magazine
After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems.
From Loops to Klein Bottles: Uncovering Hidden Topology in High Dimensional Data
Motivation • Dimensionality reduction is vital to the analysis of high dimensional data, i.e. data with many features. It allows for better understa…
An unusual introduction to manifolds
This tutorial offers a bridge between the abstract mathematics of manifolds and computational practice.
After a Quantum Clobbering, One Approach Survives Unscathed
A quantum approach to data analysis that relies on the study of shapes will likely remain an example of a quantum advantage — albeit for increasingly unlikely scenarios.
Topology
Topological Data Analysis for Machine Learning
Curves and Surfaces – Bartosz Ciechanowski
Interactive article explaining how curves and surfaces are modeled.
Topology 101: The Hole Truth
The relationships among the properties of flexible shapes have fascinated mathematicians for centuries.
A round-up of topology-based papers at ICML 2020
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