The Harmonic Series #3 - 3D display
Sing into the microphone and move the synthesizer sliders to hear and see shifting chords.
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The Harmonic Series #2 - 3D sculptures
Submitted by IMAGINARY on
3D printed chords of three notes.
Scale Lab
Which sounds can be called “notes”, and used to create music? This exhibit is an experimental platform to explore the characteristics of sound and scales.
The mathematics of aquatic locomotion
Submitted by IMAGINARY on
Aquatic locomotion is a self-propelled motion through a liquid medium. It can be of biological nature (fish, microorganisms,…) or performed by robotic swimmers. This snapshot aims to introduce the reader to some of the challenges raised by the mathematical modelling of aquatic locomotion, even in seemingly very simple cases.
A few shades of interpolation
Submitted by IMAGINARY on
The topic of this snapshot is interpolation. In the ordinary sense, interpolation means to insert something of a different nature into something else. In mathematics, interpolation means constructing new data points from given data points. The new points usually lie in between the already known points. The purpose of this snapshot is to introduce a particular type of interpolation, namely, polynomial interpolation. This will be explained starting from basic ideas that go back to the ancient Babylonians and Greeks, and will arrive at subjects of current research activity.
Closed geodesics on surfaces and Riemannian manifolds
Submitted by IMAGINARY on
Geodesics are special paths in surfaces and so-called Riemannian manifolds which connect close points in the shortest way. Closed geodesics are geodesics which go back to where they started. In this snapshot we talk about these special paths, and the efforts to find closed geodesics.
Winkeltreue zahlt sich aus
Submitted by IMAGINARY on
Nicht nur Seefahrerinnen, auch Computergrafikerinnen und Physikerinnen wissen Winkeltreue zu schätzen. Doch beschränkte Rechenkapazitäten und Vereinfachungen in theoretischen Modellen erfordern es, winkeltreue Abbildungen nur mit einer überschaubaren Datenmenge zu beschreiben. Entsprechende Theorien werden in der diskreten Mathematik untersucht. Im Folgenden lade ich Sie auf eine Reise in die faszinierende Welt der winkeltreuen Abbildungen ein.
Collaborative Mathematics Communication - Experiences and Examples
Submitted by Bianca Violet on
In this paper we discuss experiences with a collaborative and participative approach of communicating mathematics to a broad audience. We give a list of recommendations and ideas, how the public itself can be involved in creating mathematics exhibits and can become an integral part of outreach activities. The ideas are accompanied by sample activities we carried out within “IMAGINARY – open mathematics”, a project by the Mathematisches Forschungsinstitut Oberwolfach supported by the Klaus Tschira Stiftung.
Mathematikon: A Mathematical Shopping Center
Submitted by Bianca Violet on
We describe the permanent integration of mathematical content into a shopping center in Heidelberg, Germany. Main features are a mathematical image gallery, conveyor belt designs, a multi touch screen station, riddles in the bathroom, and at the bakery, classic quotes, as well as a temporary shop window display.
Prime Tuples in Function Fields
Submitted by IMAGINARY on
How many prime numbers are there? How are they distributed among other numbers? These are questions that have intrigued mathematicians since ancient times. However, many questions in this area have remained unsolved, and seemingly unsolvable in the forseeable future.