A mathematician explains hypercubes and the rules of life in higher dimensions.
Articles on Topology
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Topologists categorize all the possible shapes in each dimension.
Mathematicians are like anatomists learning how a body works, or navigators charting new waters.
As President Biden signs the bipartisan infrastructure bill, it’s important to determine which road, freight and information networks are the most vital to protect.
Techniques from topology can help us understand DNA and improve drug development.
The inventor of the brain-teasing Möbius strip died 150 years ago, but his creation continues to spawn new ideas in mathematics.
In this professor’s class, there are no calculators. Instead, students learn advanced math by talking, drawing pictures, playing with beach balls – and knitting.
Art can help us explore and understand some of the more abstract ideas in maths - such a topology.
When planning major infrastructure investments, it’s important to know which road, freight and information networks are most important – and which proposals might make things worse, not better.
Forget solid, liquid, gas. This research used advanced math to theorize about topological phases of matter. And over the years experiments with matter and cold atoms have been validating the ideas.
How Messrs Thouless, Haldane and Kosterlitz could hold the key to the future.
There’s no Nobel Prize in mathematics, but math undergirds much high-level science. The 2016 Nobel in Physics rewards work in topology, a branch of math with multiple real world applications.
Don’t worry, understanding the work is a piece of cake. But it may make you hungry.
Collect all the data you want, but if you can’t figure out what you’re looking at, it’s useless. Topologists look for spatial relationships to figure out what the data can tell us.
Top contributors
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Eugene M. Isenberg Chair in Integrative Studies, UMass Amherst
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Professor of Mathematics, University of Florida
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Professor of Physics, The Ohio State University
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Assistant Professor of Mathematics, Carthage College
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Associate professor, University of Bristol
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Senior Lecturer, School of Design, University of Technology Sydney
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Chancellor's Professor of Medicine, Liberal Arts, and Philanthropy, Indiana University
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Associate Professor, Mathematics, Australian National University
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Mathematician, University of Portsmouth
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Professor of Mathematics, Georgia Institute of Technology
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Lillian Gilbreth Postdoctoral Fellow, Purdue University
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Associate Professor of Mathematics, University of Sydney
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Associate Professor of Photonics and Quantum Sciences, Heriot-Watt University