120-cells
Submitted by Arnaud Chéritat on
An elegant 3D puzzle.
Put the 45 pieces back in the shell… and get an object that is the shadow of a hugely symmetric 4D object.
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oldschool connection
Submitted by Torsten Stier on
The clips of the last year cast in a music video with the so far unreleasd soundtrack “unwahr” by DJ Taucher and Ayla
Darcy’s law and groundwater flow modelling
Submitted by IMAGINARY on
Formulations of natural phenomena are derived, sometimes, from experimentation and observation. Mathematical methods can be applied to expand on these formulations, and develop them into better models. In the year 1856, the French hydraulic engineer Henry Darcy performed experiments, measuring water flow through a column of sand. He discovered and described a fundamental law: the linear relation between pressure difference and flow rate – known today as Darcy’s law. We describe the law and the evolution of its modern formulation.
Ideas of Newton-Okounkov bodies
Submitted by IMAGINARY on
In this snapshot, we will consider the problem of finding the number of solutions to a given system of polynomial equations. This question leads to the theory of Newton polytopes and Newton-Okounkov bodies of which we will give a basic notion.
Four worlds
Submitted by Torsten Stier on
Teaser for a joint exhibition in Mainz, Germany from April 18 to April 25, 2015
Follow me
Submitted by Torsten Stier on
award winning seamless five minute flight through a transmorphing Amazing Box Julia.
Polyominoes on Twisted Cylinders
Submitted by Alexander Kröller on
In this video we show how to enumerate polyominoes on twisted cylinders, and explain how to use them for setting lower bounds on the asymptotic growth rate of polyominoes in the plane.
Triangulating Unknown Environments using Robot Swarms
Submitted by Alexander Kröller on
How can a robot swarm explore an unknown area and understand its layout? In this video, a swarm of R-one mobile robots is used for such a task. They are not trying to build an accurate floor plan, which requires expensive sensors. Instead, they sketch the area using a mathematical structure - a triangulation, which captures the essential topological features of the environment. This structure can be used to help other robots navigate through the area, and it can be created by low-cost robots with limited capabilities.