background material

Think along and read about the maths behind the IMAGINARY exhibits and subjects. You will find below different types of texts: some with many images or with many equations, some more philosophical, more general or more specific. There are the catalogues of the exhibits, there is material for schools and we hope there is something for you – to dive further into mathematical theories and thoughts. Please let us know if you have background material you recommend to be listed here!

Worksheets for Schools
Maria Alberich
Jordi Buendía
Ferran Dachs
Anna Sabater
Emilio José Sánchez
Licence CC BY-NC-SA

A collection of IMAGINARY worksheets for school children. The worksheets are of different levels of difficulty, aimed at children and teenagers aged between 5 and 17 years. The material has been developed for the IMAGINARY exhibitions in Spain and was awarded with a prize of the Initiative “Ciencia en Acción” 2012

For more information, visit http://imaginary. fme. upc.edu.

Catalan, Spanish, English
Worksheets for Schools
Maria Alberich
Jordi Buendía
Ferran Dachs
Anna Sabater
Emilio José Sánchez
Licence CC BY-NC-SA

A collection of IMAGINARY worksheets for school children. The worksheets are of different levels of difficulty, aimed at children and teenagers aged between 5 and 17 years. The material has been developed for the IMAGINARY exhibitions in Spain and was awarded with a prize of the Initiative “Ciencia en Acción” 2012

For more information, visit http://imaginary. fme. upc.edu.

English
A Different Way to Read Off the Time – a New Idea for a Binary Clock
Jörg Pretz
Licence CC BY-NC-SA

A new idea for a binary clock is presented: It displays the time using a triangular array of 15 bits.

English
Didactical Guide Zaragoza
Alexander Aginagalde Nafarrate
Pedro Alegría Ezquerra
Raúl Ibáñez Torres
Álvaro Lozano Rojo
Marta Macho Stadler
Licence CC BY-NC-SA

Didactical guide to the IMAGINARY exhibition

Spanish
School Taskbook: From 5 to 15
Vladimir Igorevich Arnold
Victor Goryunov
Sabir Gusein-Zade
Licence CC BY-NC-SA

The taskbook for school students by renowned Russian mathematician Prof. Vladimir Igorevich Arnold. You can find the original Russian version as well as an English translation.

Russian, English
Didactical Guide Bilbao
Alexander Aginagalde Nafarrate
Pedro Alegría Ezquerra
Raúl Ibáñez Torres
Álvaro Lozano Rojo
Marta Macho Stadler
Licence CC BY-NC-SA

Didactical guide to the IMAGINARY exhibition

Euskera, Spanish
Planet, Mathematical and Population Dynamics
Philippe Etchecopar
Licence CC BY-NC-SA

Different models of population dynamics

French, English
The Art of an Algebraic Surface
Andreas Daniel Matt
Anna Hartkopf
Licence CC BY-NC-SA

A short paper to present the artistic side of algebraic surfaces made with the SURFER program. Article written for the VISMATH Book, Hungary 2012.

English
Parallax Measurement
Tine Golez
Licence CC BY-NC-SA

An introduction to parallax measurement

English
SURFER – Some Ideas for the Classroom
Andreas Daniel Matt
Licence CC BY-NC-SA

Some ideas how to use SURFER at school

German
Resolution of Singularities
Herwig Hauser
Licence CC BY-NC-SA

A short introduction to singularity theory for everybody - without equations.

German
Solid Möbius Strips as Algebraic Surfaces
Stephan Klaus
Licence CC BY-NC-SA

How to make a Möbius strip with SURFER.

English
Glances at Infinity
Jürgen Richter-Gebert
Licence CC BY-NC-SA

Survey article on symmetries and chaos

German
Solid Trefoil Knot as an Algebraic Surface
Stephan Klaus
Licence CC BY-NC-SA

How to make the trefoil knot with SURFER

English
World record surfaces
Oliver Labs
Licence CC BY-NC-SA

Introduction to surfaces with many singularities

German