Kepler pentafoil knot #knottheory #math #topology #knots #stem #steam #geometry #mathart #art

2 knots: trefoil and pentafoil composed of rhombicosidodecahedra that can represent points as well #math #topology #geometry #geometrictopology #knots #knottheory

Klein surface #Kleinbottle #math #topology #geometry

With over 1500 math models and art, I happily invite all to come and explore. I hope there will be something to inspire you! All the content is in the creative commons. So, feel free to use it! https://sites.google.com/view/structuralgeometry/home #math #geometry #topology #3dprinting #3dprintedmath

For Elsa Star Trewyn: Roelofs star dodecahedral polyknot and Kepler Star octahedral polyannuloid #math #knots #knottheory #topology #geiometrictopology

Kepler trefoil knot inspired by Johannes Kepler #math #knots #knottheory #topology #geometrictopology

3D print and design for a monosurface (1-sided surface) #3dprintedmath #3dprinting #stem #steam #math #topology #surfaces

3D printed Kepler-Roelofs dodecahedral polyknot inspired by Rinus Roelofs and Johannes Kepler #3dprinting #3dprintedmath #stem #steam #math #topology #knots #knottheory #polyknots

3D print of a Hart dodecahedral polyknot inspired by sculptor George Hart with graphic design #mathart #3dprinting #3dprintedmath #math #topology #knots #knottheory #geometry #polyhedra More of my math art can be seen at: https://sites.google.com/view/structuralgeometry/home?pli=1

3D Printed Kepler-Roelofs dodecahedral polyknot Inspired by Johannes Kepler and Rinus Roelofs #mathart #3dprinting #3dprintedmath #stem #steam #knots #knottheory #polyknots #geometry #topology #math #art

Roelofs dodecahedral polychain inspired by mathematical artist Rinus Roelofs #math #art #mathart #stem #steam #geometry #topology @RinusRoelofs

a Hart-Escher star dodecahedral polyknot . Inspired by sculptor George Hart and mathematical artist MC Escher #math #art #mathart #stem #steam #geometry #topology #knots #polyknots

an Escher triakistetrahedral polyknot #topology #geometry #knottheory #knots #math #polyknots

a Stewart cluster nested inside a Kepler dodecahedron nested inside an Escher dodecahedral polyknot #math #stem #knottheory #topology #geometry #knots

an Escher cuboctahedral polyknot #mathart #math #stem #steam #geometry #topology #knots #polyknots

Mathematicians use geometric #topology to study the shape of the universe and everything in it. A #mathematics professor explains how the field explores every possible space across all dimensions, from simple 2D surfaces to intricate higher-dimensional realms.
#geometry #mathsky https://buff.ly/41zmuy2

Groundbreaking study reveals how topology drives complexity in brain, climate, and AI

https://www.sciencedaily.com/releases/2025/02/250219111127.htm

Study introduces higher-order topological dynamics, unlocking new frontiers in science and technology

 
Hypersphere slow motion explanation
#silent #digital #animation of a #hypersphere. 2.5-min.

❛❛ In #math, a hypersphere or 3-sphere is a 4-dimensional #analogue of a #sphere, and is the 3-dimensional n-sphere. In 4-dimensional #Euclidean #space, it is the set of #points equidistant from a fixed central #point. ❜❜

https://www.youtube.com/watch?v=XFW769hqa1U 2012 Jul 04
https://Wikipedia.org/wiki/N-sphere … #nSphere
https://Wikipedia.org/wiki/3-sphere … #3Sphere

Spot the knot: using AI to untangle the topology of molecules

https://physicsworld.com/a/spot-the-knot-using-ai-to-untangle-the-topology-of-molecules/

From proteins to DNA, knotted structures are present in many vital molecules. Understanding what these knots do is difficult because our best theories still struggle to tell complex knots apart. But, argues Davide Michieletto, with advances in AI, that could be about to change

Unexpected use of topology in the wikipedia "Lint" article.