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Polyhedra for Everyone

Joint Geometry Project of Freie Universität Berlin and Technische Universität Berlin

№ 295/2018 from Oct 31, 2018

A geometry project at Freie Universität Berlin and Technische Universität Berlin provides insights into the world of polyhedra. Within the “Adopt a Polyhedron” project, mathematicians describe the properties of these geometric bodies that consist of corners, edges, and polygonal faces. Via the website www.polytopia.eu, interested individuals can take on a symbolic sponsorship for one of these mathematical objects and give it a name. Participation is free of charge. “Adopt a Polyhedron” is a subproject of the Collaborative Research Center (CRC) Transregio 109 “Discretization in Dynamics and Geometry” based at Technische Universität Berlin and the Technical University of Munich. Freie Universität Berlin is involved in various subprojects.

“With this citizen science project, we want to create an opportunity for many individuals to participate actively and creatively in mathematics,” says the spokesperson for the CRC, Prof. Dr. Alexander Bobenko, from Technische Universität Berlin. “Everyone is invited to take part and to adopt a polyhedron,” says Professor Günter M. Ziegler, the president of Freie Universität Berlin and a professor of mathematics. He is also the doctoral supervisor of the project of Anna Maria Hartkopf, who heads the “Adopt a Polyhedron” project.

According to mathematician Anna Maria Hartkopf from the Institute of Mathematics, Freie Universität Berlin, the aim of the project is to make the infinite wealth of forms of the polyhedra tangible. The number of possible polyhedra grows rapidly with the number of corners. “For example, there is only one polyhedron with four corners, already more than 2,000 with nine corners, and quadrillions with 18 corners,” explains Anna Maria Hartkopf. Therefore, despite an increasing number of sponsorships, she does not expect bottlenecks. “It is easy to guarantee supplying polyhedra to the world.”

The website of the project (www.polytopia.eu) has templates that can be printed and then assembled. Thus, the adopted polyhedron can actually take shaped. “Graves of pharaohs, origami figures, and 3D objects in film animations and computer games actually differ little from a geometric perspective,” says Anna Maria Hartkopf. The best-known polyhedra are the Platonic solids, for example, the cube.

The Project

www.polytopia.eu

Press image 1

Anna Maria Hartkopf

Anna Maria Hartkopf
Image Credit: © Janine Kuehn

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.


Press image 2

Polyhedron 1

Polyhedron 1
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.


Press image 3

Polyhedron 2

Polyhedron 2
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 4

Polly

Polly
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 5

Ecki

Ecki
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 6

Ecki wants to be adopted

Ecki wants to be adopted
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Pressefoto 7

Ecki is happy

Ecki is happy
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 8

Polytopia Website

Polytopia Website
Image Credit: © Projekt „Adoptiere ein Polyeder“

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 9

Polyhedron (black and white)

Polyhedron (black and white)
Image Credit: © Petronio Bendito

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 10

Colored polyhedron

Colored polyhedron
Image Credit: © Petronio Bendito

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Press image 11

Polyhedron with mirrored images

Polyhedron with mirrored images
Image Credit: © Petronio Bendito

The photo is available for download by the media. It is free of charge if used in the context of the press release and due credit is given the photographer.

Further Information

Contact

Anna Maria Hartkopf, Department of Mathematics and Computer Science, Freie Universität Berlin, Tel.: +49 30 838-75651, Email: anna.hartkopf@fu-berlin.de