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Mathematikon - Grand Opening of the Shopping Center

Submitted by Bianca Violet on

Today, the first mathematical shopping center opens in Heidelberg, Germany. The Mathematikon shops are integrated into the building complex called Mathematikon.

Together with mathematicians from 14 countries, IMAGINARY created the mathematical content and is also responsible for the exhibition design. A highlight is the 84 inch touch screen, which is mounted vertically and offers two different math games at the same time in different heights. It is suitable for all ages and the perfect family attraction. The apps and games are based on the Cinderella applets, known from many IMAGINARY exhibitions.

A mathematical image gallery with 13 big format prints and explanations is displayed in the general public area and the parking garage, providing unusual insights into different fields of mathematics. The conveyor belts at the cashiers in the super market invite you to playfully think about classic and modern mathematics. You can experiment yourself using the items you want to buy – juice packages, bottles, oranges, eggs… anything. There is even math in the bathroom: riddles are projected within the mirrors. Additionally, a 13 meter shop window presents a group of exhibits showing all kinds of polyhedra, starting with the platonic solids. Detailed descriptions explain the corresponding mathematical ideas and encourage you to look closer and think further.

Image Collection: 
Files: 
pressemitteilung-mathematikon-imaginary-180216-final.pdf
press release (German) (PDF)

IMAGINARY EXPERIMINTA Bilim Merkezi'nde

Submitted by IMAGINARY on

Amacı isminde saklı IMAGINARY kurgusal, hayal edilemeyen matematiği bize hissettiriyor. Soyut matematik formülleri yaşamımızın bir parçası olarak gözler önüne seriliyor.

İlk sergi basit denklemler yazarak, güzel cebirsel yüzeyler oluşturulabilecek etkileşimli SURFER programının sunumudur. Ziyaretçiler büyük dokunmatik ekranlarda denklemlerini girebilecek, parametreleri değiştirerek yaratıcı şekiller keşfedebilecek, oluşturdukları yüzeyin rengini değiştirip istedikleri gibi döndürebilecekler. SURFER’ın iyi tarafı, ardındaki matematiği (cebirsel geometri) baştan illa anlamanızın gerekmemesi. Deneyler yaparak, sezginizin ve yaratıcılığınızın peşinden giderek matematik öğrenebilir ve animasyon ve resim olarak benzersiz sanat parçaları yaratabilirsiniz.

İkinci sergi etkileşimli bir geometri programı olan Cinderella’nın sunumudur. Ziyaretçiler kolay ve hızlı bir şekilde fraktallar gibi geometrik yapıları oluşturabilirler. Ayrıca, isteyenler kütleleri,yayları ve alanları kullanarak fiziksel simülasyonları çalıştırabilirler. Diğer konulara sadık kalarak yeniden çalışmalar yapmaya ve sergiyi tamamlamaya fırsat verir. Gerçekliğin sınırlarından bağımsızca hareket ederek mekanik, atom fiziği, gezegenlerin hareketleri gibi çeşitli alanlarda simülasyon senaryoları hazırlayabilirsiniz.

Yazılımın gelişimi hakkında: IMAGINARY projesi Oberwolfach Matematik Araştırma Enstitüsü tarafından hazırlanmış bir etkileşimli gezici sergidir. Bu sergi yalnızca Avrupa ülkelerinde değil Amerika ve Rusya’da da başarıyla gerçekleştirildi. Klaus Tschira Vakfı tarafından desteklenmektedir. Oberwolfach Matematik Araştırma Enstitüsü ve Alman Müzesi (Münih) haricinde EXPERIMINTA(Frankfurt) IMAGINARY programlarının daimi bir şekilde sergilendiği tek Alman enstitüsüdür. EXPERIMINTA sergisi ise Citoyen Vakfı tarafından desteklenmektedir.

Time and Place: 
Çarşamba, Haziran 5, 2013 - 00:00'den 23:45'e kadar
Venue: 
EXPERIMINTA
Hamburger Allee 22-24
60486 Frankfurt am Main
Germany
Coordinates: 
POINT (8.6479 50.11544)
Opening Hours: 

Monday 9am - 2pm
Tuesday to Friday 9am - 6pm
Saturday/Sunday 10am - 6pm

Files: 
Website: 
EXPERIMINTA
Image Collection: 
Credits: 
  • Organization
EXPERIMINTA
Ortaklar/Maddi Destekler: 
Stiftung Citoyen

Quantum Arcade

Game 1: Qaboom 

Note: this game is made for a physical Arcade Machines, so it is a different experience to play it at home on your computer (it still works, not tested for tablets or phones). Controls: Player 1 with “wasd” for movement and “e” for flip and “q” for swap. Player 2 with “ijkl” and “o” and “u”. With “r” you can exit the game and with “p” you can pause/unpause the game. We also have gamepad support (still in test phase).

 

Game 2: Quantum Quest

Note: this is still a prototype and not yet fully ready for home or custom use (it is made for Arcade Machines!). Controls: Player 1 with arrow keys for movement and “e” for exit. Press “l” for language to switch between German and English.

Motivation

Quantum computing has gained global attention over the past two decades and is considered a transformative future technology. To familiarize the general public, particularly young people, with the foundational mathematical concepts and ideas behind quantum computing— and to encourage their participation — a low-threshold, audience-oriented approach is essential.

Goals and Approach

Our goal is to communicate the mathematical core concepts of quantum computing through games. We are developing two computer games: a skill-based platformer and a puzzle game. These will be presented as arcade machines in museums, public spaces, and events such as major video game conventions. The games will be accompanied by workshops featuring coding and co-creation components. Additionally, the project includes an openly published evaluation of knowledge transfer right from the beginning.

Innovation and Perspectives

The project’s innovation lies in transferring knowledge through arcade machines featuring computer games and showcasing these machines in museums and at a gaming convention. The computer games and workshop curriculum are openly licensed, allowing for further development and reuse of the content, including in participatory workshops, by museums and other multipliers. The project will be evaluated with input from the target audience from the outset. All content will be shared at international conferences and through partner networks.

 

This project is part of the program “Quantum aktiv – Outreach-Konzepte und Open Innovation für Quantentechnologien” by the BMBF. The project partners are IMAGINARY and the Max- Planck-Institut für Mathematik in den Naturwissenschaften. The Arcade Machines will be presented in Arcade Machines and will tour Germany. Supported by the Federal Ministry of Research, Technology and Space (Bundesministerium für Forschung, Technologie und Raumfahrt), Germany

 

Team: 
  • Project Coordinators
Andreas Matt (IMAGINARY)
Erika Roldan, Jörh Lehnert (MPI_MiS)
Eva Specker (IWM)
  • Software development
Nat Alison
Eric Londaits
Christian Stussak
  • Coordination and Content
Skye Rothstein
Karla Schön
Oliver Schön
Elisabeth Schaber
Alexa Lehmann
  • Illustrations
Ariel Kahtan
  • Arcade Construction
Retromat
Destekleyen:: 
Federal Ministry of Research, Technology and Space (BMFTR)
Image Collection: 
Files: 
bmbf_quantech_projektumrisse_quantum-arcade_bf_so_01.pdf
Project Summary (BMBF, German)
250813_postkarte-te.pdf
Quantum Arcade Postcard
250918_qaboom-instructions_interim_version.pdf
Qaboom Manual (interim first version)
Timeframe: 
Perşembe, Şubat 1, 2024'den Çarşamba, Aralık 31, 2025'e kadar
Open/Closed: 
Open

Math Family Day

Submitted by Anne Kahnt on

Various stations encourage everyone to get in touch with their mathematical site. Playful construction, soap bubbles, and savvy card games can be experienced together. A small list of all activities:

  • Geometry with Pattern Blocks and Zometool
  • Science Toys by Grunda Wichmann
  • Sudoku, Brainteaser and more riddles
  • interactive SURFER station to create algebraic surfaces (take home a print out of your surface/s!)
  • mathematical soap bubbles
  • the impossible triangle

Date and Time:

What:     Open day of Mathematics for the whole family

When:    Saturday, 6th September, 14 – 18 Uhr

Where:   Schulgarten Moabit, Birkenstraße 35, 10551 Berlin

Schulgarten Moabit, Birkenstraße 35, 10551 Berlin
  • Beim Mathe-Familien-Tag bieten wir ein abwechslungsreiches Programm mit mathematischen Themen, das alle Familienmitglieder – Kinder, Eltern, Großeltern – anspricht und zum gemeinsamen Erleben und Entdecken anregt. Es wird eine bunte Mischung aus offenen Angeboten und betreuten Stationen geben, sodass jeder eine für sich passende mathematische Aktivität finden kann.

Hier ist für jeden etwas dabei, für große und kleine Tüftler, für Rechengenies und solche, die es werden wollen.

Mathematik für die ganze Familie – das wird der Mathe-Familien-Tag am 6. September in Berlin! An vielen unterschiedlichen Stationen kann man einen Nachmittag lang spielen, bauen, basteln, konstruieren und programmieren. Und das alles kostenlos im Schulgarten Moabit!
Time and Place: 
Cuma, Eylül 5, 2014 - 00:00'den 23:45'e kadar
Venue: 
Schulgarten Moabit
Birkenstraße 35
10551 Berlin
Germany
Coordinates: 
POINT (13.33961 52.53306)
Opening Hours: 

14:00 - 18:00

Files: 
2014-08-26_pm_druck.pdf
Press Release (German)
Website: 
vismath event page
Image Collection: 
Credits: 
  • www.vismath.eu
  • www.kita-mathe.de
Ortaklar/Maddi Destekler: 
Stiftung Rechnen

Mathematikon in Heidelberg

Submitted by IMAGINARY on

The mathematical image gallery: Twelve large format images are presented together with easy-to-read descriptions. They provide an insight into different fields of mathematics.

The conveyor belts: For the supermarket and the drug-store of the shopping center, we created four different mathematical designs for the conveyor belts, so waiting at the cashiers can be fun and entertaining.

The multi touch screen station: The highlight of the mathematical content in terms of popularity as well as state of the art technology is the 84 inch multi touch screen station. It is mounted vertically in the central hall of the shopping mall. Altogether 10 interactive math games based on the Cinderella applets by Jürgen Richter-Gebert are offered, two of them can be explored at the same time; at a height for adults and children.

Riddles: Integrated in the bathroom mirrors are screens, which display 25 short riddles. The technique hides the screens, so only the writing can be seen. After a countdown, the solution is given, which is mostly just one word or a number. The riddles are of varying difficulty and cover different areas of mathematics.

Classic quotes: Two classic mathematical quotes by Gauss and Galileo are displayed on the glass walls near the elevators to be viewed from almost any angle in the public area of the shopping center. The quotes intend to be thought provoking and emphasize the central and important role of mathematics.

Shop window display: Shop windows of an unoccupied shop unit were used to temporarily display a combination of math and art. Starting with the general concept of polyhedra, we introduce some basic background information like the Euler characteristic, nets of polyhedra and more.

Time and Place: 
Perşembe, Şubat 18, 2016 - 00:00'den 23:45'e kadar
Venue: 
Mathematikon shops
Mathematikon
Berliner Str. 41-49
69120 Heidelberg
Germany
Coordinates: 
POINT (8.675543 49.4187591)
Files: 
pressemitteilung-mathematikon-imaginary-180216-final.pdf
press release of the opening (German)
violet_matt_mathematikon_final.pdf
Bridges paper on the Mathematikon (English)
Website: 
Mathematikon website
IMAGINARY at the Mathematikon website
Image Collection: 
Credits: 
The Mathematikon building complex has been planned and built by the Mathematikon Heidelberg GmbH (n. S. R.) & Co. KG.

LPDJLQH D VHFUHW

Submitted by José Francisco ... on

Pythagorean triples such as (3, 4, 5) or (4961, 6480, 8161) were well known by ancient Babylonians around 1600 B. C. They were also aware of their correspondence to right triangles with integer sides and to the problem of splitting a given square number into two squares. Although such triples have been studied in detail since the time of Euclid, around 300 B. C., it was only in the middle of the XVII century that Pierre de Fermat stated the famous observation: “No cube can be split into two cubes, nor any biquadrate into two biquadrates, nor generally any power beyond the second into two of the same kind”.

This became the famous “Fermat’s Last Theorem”, stating that the equation AN + BN = CN has no nonzero integer solutions when N is greater than 2. It was completely proven in 1994, about three and a half centuries later, using the XX century theory of elliptic curves!

Elliptic curves have deep and beautiful properties. They are plane curves of the type y2 = x3 + a·x + b that have been studied since the XIX century. That equation in the affine plane corresponds to the homogeneous equation y2·z= x3 + a·x·z2 + b·z3, which describes in space a family of algebraic surfaces with two parameters a and b. The computational variation of these equations generates beautiful animations that stimulate our imagination and evoke our mathematical creativity.

Cryptography refers to secure methods to transmit and safeguard secret and valuable information. Since 1977 the RSA public key system has been widely used. It is based on prime number theory and on the difficulty of factoring very large integers. With the impact of the elliptic curve method for integer factorization, Elliptic Curve Cryptography (ECC) was invented by mathematicians in 1985, and since then the mathematical sophistication of cryptography has been raised to a whole new level.

The security of the ECC algorithms is based on the discrete logarithm problem of elliptic curves, which seems to be a much harder problem in finite field arithmetic. Recent mathematical advances imply that a certain desired security level can be attained with significantly smaller keys, for instance, a 160-bit ECC key provides the same level of security as a 1024-bit RSA key.

The theory of elliptic curves illustrates the beauty of the links between number theory, algebra and geometry and provides a powerful mathematical tool to strengthen security of e-commerce and secure communications. The old and unreliable method of the Caesar cipher of using only the simple arithmetic operation to encipher a message in the usual Latin alphabet by means of the formula d = c - 3 (mod 26) is outdated. But, it gives us the key to decipher the title of this film:

_ _ _ _ _ _ _ _ _ _ _ _ _ _

To download the film in high resolution in Portuguese, German, English and Spanish please go to:

http://www. cim.pt/LPD-UHW

Embed External Video: 
Credits Collection: 
Initiative by Centro Internacional de Matemática, Casa da Animação and Mathematisches Forschungsinstitut Oberwolfach.
  • Idea
José Francisco Rodrigues
  • Conception
Victor Fernandes, Stephan Klaus, Armindo Moreira, José Francisco Rodrigues
  • Realization and Production
Victor Fernandes, Armindo Moreira
  • Surfer Movies
Andreas Matt, Bianca Violet
  • Original Music
Victor Fernandes, Armindo Moreira
Destekleyen:: 
Acknowledgments: CMAF/Universidade de Lisboa, Fundação Calouste Gulbenkian, IMAGINARY exhibition, Vila de Óbidos Sponsored by CIÊNCIA VIVA.
Files: 
Image Collection: 

Exhibition/User:

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