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Animated topology: Ant walk on the Klein bottle

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Cluster of Excellence ctqmat

4 Jan 2023: Wow thank you so much for your views, likes & comments! We are deeply impressed what a little ant can effect :) We have even more (small & big) little animals hidden in our awardwinning game app https://kittyq.app free download in App & Play stores!

More fancy videos on our channel:    / clusterofexcellencectqmat   In 2022 every last Friday of the month we publish a new QUANTube video! In it, our young scientists answer the questions of the players of "KITTY Q". Everyone who unlocks the integrated bonus app can ask us a question. Just search for the stove & picture frame & you' re ready to ask...

Description of the ANT WALK: How does the Klein bottle work? The animation explains this from an ant's point of view. The object, named after the mathematician Felix Klein, is a topological curiosity–a socalled "nonorientable surface". Because the Klein bottle is a onesided surface. So there is no "inside" and "outside"–in contrast to the surface of a sphere. If an ant walks on the Klein bottle, it can reach any point and cannot be caught inside. The orientation of a surface is a topological property. Topology is a branch of mathematics that deals with global properties of objects that remain unchanged when deformed. Topology helps to explain the interior of quantum materials.

The DresdenWürzburg Cluster of Excellence ct.qmat–Complexity and Topology in Quantum Matter explores new quantum materials in high performance laboratories, revealing surprising phenomena under extreme conditions such as ultralow temperatures, high pressure, or strong magnetic fields. If these special properties can be made applicable under everyday conditions, they could form a basis for revolutionary quantum chips.

More details at: www.ctqmat.de

Animation by Jörg Bandmann (pixelwg, Germany) on behalf of the WürzburgDresden Cluster of Excellence ct.qmat.

posted by unglogwk