# Videos

As part of the Festival, a annotated collection of mathematical films was created. All movies are suitable for the general public and especially for pupils.

MathFilm 2008 DVD (2008) | 60 min | |

The MathFilm DVD presents a juried collection of innovative short math videos. The films are winners of the international competition of the MathFilm Festival 2008. Following the May premiere in Berlin, the festival films are shown in public viewings throughout Germany. The festival is part of the “Year of Mathematics” initiative of the Federal ... |

A Beautiful Mind (2001) | 135 min | |

At Princeton University, John Nash struggles to make a worthwhile contribution to serve as his legacy to the world of mathematics. He finally makes a revolutionary breakthrough that will eventually earn him the Nobel Prize. After graduate school he turns to teaching, becoming romantically involved with his student Alicia. Meanwhile the government a ... |

Zählen jenseits des Unendlichen (2007) | 2 min | |

The most basic mathematical process is counting: |

Möbius-Transformationen beleuchtet (2007) | 3 min | |

Möbius Transformations Revealed is a short video which depicts the beauty of Möbius transformations and shows how moving to a higher dimension reveals their essential unity. |

Flatland: The Movie (2007) | 2 min | |

Based on Edwin Abbott’s classic, mind-bending 1884 mathematical novella, this animated film dramatizes the conflicts, hopes and fates of a community of geometric characters living in a two-dimensional world. When a young geometric figure decides to “think outside the box” (in a world where such thought is forbidden), her life is threatened an ... |

Konstruktion eines Hyperdodekaeders (2008) | 2 min | |

This short computer graphics animation presents the regular 120-cell: a four dimensional polytope composed of 120 dodecahedra and also known as the hyperdodecahedron or hecatonicosachoron. The figure is built up through a sequence of subsequent foldings: 5 segments form a pentagon, 12 pentagons form a dodecahedron and eventually 120 dodecahedra for ... |

Facelab (2008) | 2 min | |

This movie gives an overview on computer assisted maxillofacial surgery planning. A mobilization of the upper and lower jaw with combined relocation of the mobilized bone parts is demonstrated. The resulting arrangement of facial soft tissue is simulated with finite-element methods on a tetrahedral grid of the virtual patient’s head, thus yieldin ... |

Das digitale Herz (2007) | 5 min | |

This movie presents a research project – called CardioSense3D – focussed on constructing mathematical and numerical models of the heart, and then personalising these models using clinical measurements specific to each patient. As cardiovascular diseases represent the leading cause of death in industrialised nations, the objective is to facilita ... |

Optimierung von Taktfahrplänen (2008) | 5 min | |

Berlin Underground features nine lines that meet in 19 transfer stations. How to compute a timetable that minimizes the total waiting time of all the passengers in this network, while respecting all safety matters? The 2005 timetable for this network was computed by Matheon, at the Institute of Mathematics at TU Berlin. The key were state-of-the ar ... |

Quantus (2008) | 10 min | |

Quantus examines the idea of quantification as exemplified by Pythagoras’ motto “all is number”. The vehicle for demonstrating this omnipresence of numbers and mathematics is computer graphics. Animators create entire virtual worlds in computers complete with objects, movement, light and color. In order to do this, they must translate these c ... |

Dice (2004) | 2 min | |

The computer graphics animation “dice” aims at creating images that are both rhythmic and enjoyable from the movement of rolling dice. This work consists of one cut, created by continuous camera work. The interest of movement is expressed by the chain reaction of the rolling dice, which roll from one scene into another, one after another seamle ... |

Attack of the Note Sheep (2003) | 1 min | |

This short film is for every one who’s ever been bored in a mathematics class! Doodles can be dangerous… ... |

Die Borromäischen Ringe (2006) | 4 min | |

This video, premiered at International Congress of Mathematicians 2006, explains the mathematics behind the new International Mathematical Union logo. The logo depicts the Borromean rings (three linked rings with the property that no pair is linked) in the form they have when tied tight. This tight configuration has pyritohedral symmetry, with the ... |

Die Laufmaschine von Tschebyscheff (2008) | 2 min | |

For more than 200 years, from the day when James Watt’s steam engine was developed, surprising symbiosis of the linkage theory and mathematics is being observed. In the 19th century, the great Russian mathematician Pafnuty Lvovich Chebyshev solved the problem of linkage that converts a rotary motion into and approximate straight line motion. The ... |

A Semi-Lagrangian Contouring Method for Fluid Simulation (2005) | 1 min | |

In this video, we demonstrate a semi-Lagrangian surface tracking method for use with fluid simulations. Our method maintains an explicit polygonal mesh that defines the surface, and an octree data structure that provides both a spatial index for the mesh and a means for efficiently approximating the signed distance to the surface. At each timestep, ... |

Zahlen in Bewegung (2007) | 3 min | |

They are part of our everyday life, from the stopwatch, to the electricity meter and the cash register: Numbers are encountered everywhere. In the short film “Numbers in Motion” these numbers are the main actors. In sophisticated creative images the viewer is plunged into the fascinating world of zero to infinity. |

Die Geometrie des Suchens (2008) | 6 min | |

Search is a fundamental task that enables us to access relevant data quickly in today’s “sea of information”. To facilitate fast response time, sophisticated indexing methods were developed for searching massive amounts of textual information. Recently, research has begun to focus more and more on other types of information such as audio, vid ... |

Bubbles, Jaws, Moose Tests, and More (2005) | 90 min | |

Ever thought about how weather is predicted so well or how we can gain knowledge of a galaxy’s life cycle without observing it for billions of years? In earlier times scientists had only two choices: derive some theory or make some experiments. Today’s grand challenges to research, like climate prediction, semiconductor technology, biotechnolog ... |

Cube (1997) | 90 min | |

Six total strangers awaken one day to find themselves alone in a cubical maze. Once they meet, they work together using their given skills and talents to survive the deadly traps which guard many of the colored cubic rooms. Using Leaven’s mathematical skills, they press forward, upward, and downward through the hatches to try and find the outer s ... |

Der versiegelte Brief des Soldaten Döblin (2006) | 86 min | |

The short and tragic life story of Wolfgang Döblin, brilliant mathematician, son of the famous german writer Alfred Döblin who fled Nazi Germany. |

Early History of Mathematics (2003) | 30 min | |

The film explains with easy-accessible examples and in Tom Apostol’s characteristically perfect presentation major events in the history of early mathematics. Everybody interested in mathematics will be able to understand the film, and even experts will learn something new from it. ... |

Enigma (2001) | 119 min | |

During the Second World War, a team of genius is put together near to London to study means of breaking the German code used in the communication. Tom Jericho broke this code in the past and had a break-down. Now his passion Claire Romilly is missing and the British counter-espionage system believes she is a German spy. Tom becomes closer the Clair ... |

Fermat's Last Tango (2001) | 100 min | |

“Fermat’s Last Tango was inspired by the achievements of Princeton University Mathematics Professor Andrew Wiles, who in June 1993 presented a proof to the theorem first set forth by French mathematician Pierre de Fermat in 1637. ““Fermat’s Last Tango”“ is a musical fantasia based on the true encounter between mathematician Andrew Wil ... |

Fibonacci - The Pisan Leonardo (2008) | 40 min | |

A father working abroad and a son going with him because that country is growing with technology, science and culture. |

Hard Problems (2008) | 82 min | |

Hard Problems is the story of the six American high school students who competed with 500 others from 90 countries in Ljubljana, Slovenia, at the International Mathematical Olympiad (IMO). The film shows the dedication and perseverance of these remarkably talented students, the rigorous preparation they undertake, and the joy they get out of solvin ... |

Henri Cartan, une vie de mathématicien (1995) | 52 min | |

Discussions by Jean-Pierre Serre and Isabelle Broué with the mathematician Henri Cartan and his wife Nicole, daughter of physicist Pierre Weiss. |

Julia Robinson and Solving Hilbert's 10th Problem (2008) | 45 min | |

A documentary by Goerge Csicsery about the life and work of the distinguished logician. Julia Robinson was the only female president of the American Mathematical Society and became famous for her work on Hilbert’s 10th problem about the solvability of integer equations. ... |

Leonhard Euler: Im Paradies der Gelehrten (2007) | 29 min | |

He was the most exceptionally gifted mathematician of the Eighteenth Century and a great figure in the history of Western culture: Leonhard Euler. Unlike names such as Leibniz and Newton, however, the name Euler today means nothing to many people. However, the Swiss founded a new field of mathematics with his theory of graphs from which a great dea ... |

Magic of Muqarnas (2005) | 18 min | |

Muqarnas – stalactite vaults – form an essential part of Islamic architecture. The first written reference on the geometrical concepts dates back to a treatise by the famous Islamic mathematician and astronomer al-Kashi (died 1429). The relation between layout and spatial arrangement is the topic of this video. |

MESH (2005) | 40 min | |

Mesh is a groundbreaking 40-minute computer animation that helps redefine the term “math video”. The creation of Beau Janzen and Konrad Polthier, Mesh distills down advanced concepts in differential geometry and conveys them in a way that is palpable and relevant to even a novice audience. With its synthesis of cutting-edge visualization and br ... |

Moebius (1996) | 88 min | |

Buenos Aires. Argentina. The subway system has been expanded over and over. It is that complex now that nobody is able to picture it anymore. Some day a whole train disappears. From time to time it can be heard rushing through the dark labyrinth, but it cannot be seen. The director of the subway must come up with an explanation for this phenomenon ... |

N is a number (1993) | 57 min | |

A man with no home and no job, Paul Erdös was the most prolific mathematician who ever lived. Born in Hungary in 1913, Erdös wrote and co-authored over 1,500 papers and pioneered several fields in theoretical mathematics. At the age of 83 he still spent most of his time on the road, going from math meeting to math meeting, continually working on ... |

Pi (1998) | 84 min | |

“In Manhattan, behind six locks, lives Max Cohen, a mathematician and computer whiz. Since staring at the sun at age six, he’s had terrible headaches; plus, he can’t abide human contact except with an aging professor, and he’s obsessed with finding numeric patterns. His current obsession is the stock market; his theories bring him to the at ... |

Porridge Pulleys and Pi (2004) | 29 min | |

A portrait of two mathematicians, Fields medalist Vaughan Jones, one of the world’s foremost knot theorists and an avid windsurfer, and Hendrik Lenstra, a number theorist with a passion for Homer and all things classical. ... |

Der Beweis (2005) | 99 min | |

In Chicago, on the day of her twenty-seventh birthday, Catherine (Gwyneth Paltrow) receives her sister Claire (Hope Davis) from New York for the funeral of their father Robert (Anthony Hopkins), who passed away a couple of days before. Robert was a brilliant mathematician that became bughouse, and Catherine had lived with him for the last five year ... |

Quarks & Co (2006) | 43 min | |

Numbers leave their marks on our everyday life: e.g. telephone numbers, PIN codes, statistics or even the weather forecast usually take part in daily life. |

The CMI Millennium Meeting (2002) | 60 min | |

In May 2000, the Clay Mathematics Institute (CMI) held its landmark Paris Millennium event at the College de France. On this occasion, CMI unveiled the “Millennium Prize Problems,” seven mathematical quandaries that have long-resisted solution. This video provides a portrait of CMI, its culture and the people behind it. F. Tisseyre captures the ... |

The Colours of Infinity (1995) | 52 min | |

Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinit ... |

The Fantastic World of M.C. Escher (2001) | 55 min | |

Almost everyone will know M.C. Escher, the famous Dutch artist, whose later work has very strong links to mathematics. Michele Emmer’s film explores this relationship and uses the possibilities of this medium to full extent to show spectacular examples of Escher’s work. |

The Importance of Mathematics (2008) | 60 min | |

This video is a lucid, dynamic presentation of the deep and important question of the relevance of mathematics to society, delivered by one of the best mathematicians of the modern age. T.Gowers gave the Keynote Address at the historic Millennium Meeting of the Clay Mathematics Institute (CMI) – the very same meeting at which the Millennium Prize ... |

The Millennium Prize Problems (2002) | 60 min | |

The Clay Mathematics Institute announced the Millennium Prize Problems to mark the 100th anniversary of Hilbert’s lecture at the second ICM. These Problems were set forth by two of the greatest mathematicians of the 20th century: John Tate and Michael Atiyah. Atiyah’s lecture discusses four of the Millennium Problems and places them in context. ... |

The New Shepherd's Lamp (1995) | 30 min | |

Astronomy and celestial mechanics always initiated great breakthroughs in the development of science and mathematics. The authors of the film describe these developments starting with Ptolemy and ending with contemporary satellite-steering techniques. The explanations come via conversations, illustrations, famous scientific publications and animati ... |

Touching Soap Films (1995) | 41 min | |

The video “Touching Soap Films” is an educational film about the world of SOAP FILMS, or in mathematical words, the world of MINIMAL SURFACES. Few other physical problems have influenced as many branches of mathematics in the past 200 years as have the study of soap films. A soap film is physically similar to a piece of rubber surface which tri ... |

Turning a Sphere Inside Out (2004) | 23 min | |

Turning a Sphere Inside Out opens with a discussion of the problem of turning a sphere inside out by passing the surface through itself without making any holes or creases. Mathematicians believed that the problem was insoluble until 1958 when Stephen Smale proved otherwise. However, no one could visualize the motion, called a regular homotopy. The ... |

Wolfgang Doeblin (2006) | 55 min | |

Wolfgang Doeblin, one of the great probabilists of the 20th century, was already widely known in the 1950s for his fundamental contributions to the theory of Markov chains. His coupling method became a key tool in later developments at the interface of probability and statistical mechanics. But the full measure of his mathematical stature became ap ... |

Zorn's Lemma (1970) | 60 min | |

This is an amazing experimental film from American avant-garde filmmaker Hollis Frampton. It begins with a dark screen and a woman narrating from The Bay State Primer, an early American grammar textbook that teaches the letters of the alphabet by using them in sentences derived from the Bible, then the rest of the film is mostly silent. It presents ... |

VideoMath-Festival at ICM '98 (1998) | 82 min | |

This collection of the juried mathematical videos was presented at the international congress of mathematicians ICM’98 in Berlin. The videos are winners of a worldwide competition, in which the international jury evaluated their mathematical relevance, technical quality, and artistic imagination. The mathematical themes include problems in topolo ... |

Arabesques and Geometry (1999) | 21 min | |

The authors of this film explain the topic of symmetry in mathematics with examples from Islamic art. The mathematical background – plane crystallographic groups – is spectacularly illustrated by examples at the Alhambra in Granada, Spain. This film will be enjoyed by everyone interested in mathematics, from school students to researchers. ... |

History of Mathematics (2011) | 64 min | |

This film invites you to participate in the exciting developments in the ancient science of mathematics. The main emphasis has been placed on the developments during the Middle Ages in Asia (the Orient) and Europe (the Occident). Many changes took place at that time and few of the written documents on the sciences in ancient Greece were saved. |

Clouds are not Spheres (2007) | 52 min | |

This film tells the story of the life and work of Benoit Mandelbrot. A great innovator and discoverer of the Mandelbrot set and fractal geometry, Mandelbrot is a highly respected mathematician. Here, he tells his story about finding fractals and creating a new way of geometry. |

The Music of the Primes (2008) | 90 min | |

In this three-part series Marcus du Sautoy takes us on a journey to discover the world of prime numbers. This DVD contains all three parts of the BBC-series and therefore “Music of the Primes” provides a detailed look into prime numbers and their properties. |

21 (2008) | 112 min | |

Inspired by the true story of MIT students who mastered the art of card counting and took Vegas casinos for millions in winnings. Looking for a way to pay for tuition, Ben Campbell (Jim Sturgess) finds himself quietly recruited by MIT's most gifted students in a daring plot to break Vegas. With the help of a brilliant statistics professor (Kevin Sp ... |

Fermat's Room (2007) | 86 min | |

Four mathematicians who do not know each other are invited by a mysterious host on the pretext of resolving a great enigma. The room in which they find themselves turns out to be a shrinking room that will crush them if they do not discover in time what connects them all and why someone might wish to murder them. (IMDb) ... |

Fraktale (2010) | 52 min | |

Fractals are everywhere. They are the evolution's choice of of how to create nature. Fractal geometry explains precisely growing, organic systems like plants, courses of a river or the movement of clouds. |

Good Will Hunting (1998) | 122 min | |

A touching tale of a wayward young man who struggles to find his identity, living in a world where he can solve any problem, except the one brewing deep within himself, until one day he meets his soul mate who opens his mind and his heart.(IMDb) ... |

Hotel Hilbert (1996) | 29 min | |

Fiona Knight searches for a hotel room. She tries to get one at "Infinite Hotel" which is full as everybody told her before. This explains the hotel chef, too, but furthermore he tells Fiona that there are enough empty rooms for every new guest. |

Sneakers (1992) | 125 min | |

Martin Bishop is the head of a group of experts who specialise in testing security systems. When he is blackmailed by Government agents into stealing a top secret black box, the team find themselves embroiled in a game of danger and intrigue. After they recover the box, they discover that it has the capability to decode all existing encryption syst ... |

The Oxford Murders (2008) | 108 min | |

Martin is a PhD student in mathematics and is on an exchange in Oxford. There, he hopes to meet his mentor, Professor Seldom. At their first meeting it becomes clear: they haven't got the same opinion towards the existence of the truth. |

Numbers (2006) | 45 min | |

We all use math every day. Sometimes we do it with our eyes open, other times we do it unconsciously. And when there are situations which seem to be a coincidence, there is a hidden mathematical pattern most of the time. |

Teresa's Tattoo (1994) | 82 min | |

Mathematician Teresa just wanted to study during the College spring break. But her friends, who want her to live a little, drag her out to parties. The next thing she knows, she has been drugged, kidnapped, made a redhead, tattooed, and wearing leather?!? Her captors seem to be the most inept crooks ever. They seem to have a plan, if only she could ... |

The Code (2011) | 114 min | |

This trilogy is about the code which encrypts the world and which is based on the world's appearance. Searching for the language in which the world is written, Marcus du Sautoy always comes upon one thing: mathematics. |

Stand and Deliver (1988) | 102 min | |

Based on a true story this movie is about the teacher Jaime Escalante. At a time in which his pupils don't want to go to school and certainly don't want to concentrate on math, Escalante tries to fill their enthusiasm for this subject and wants to improve their skills. |

Dimensions (0000) | 117 min | |

The movie is divided into 9 topics. Each one is about stories of mathematics which prepare the listeners to go on a journey in the fourth dimension. They are understandable for everyone. |

Thru the Moebius Strip (2005) | 86 min | |

This science-fiction animated movie by Jean Giraud is about the story of the physician Simon Weir, who gets lost in the universe. |

Flatland 2 (2013) | 35 min | |

20 years after the happenings in Flatland: the hexagon "Hex" is grown up and lives at the place where he found the portal to the third dimensions together with his grandfather. In Flatland no one believes that there exists a third dimensions and Hex almost loses his belief, too. |

The Penrose Tesselation (0000) | 16 min | |

Although it might look strange, mathematics also studies the placement of tiles on a floor! If the floor is an infinite plane, we have a tiling of the plane. A tiling is a way to cover the plane using nonoverlapping copies from a small set of geometric shapes. |

Colors of Math (2012) | 60 min | |

To most people math appears abstract, mysterious, complicated, inaccessible. But math is nothing but a different language to express the world. Math can be sensual... Math can be tasted, it smells, it creates sound and color. One can touch it- and be touched by it... ... |

Is God a Number? (1999) | 52 min | |

Did the universe emerge by coincidence? Or is it based on a plan which can be described mathematically? Mathematicians go further into this question in this film. |

The Story of Maths (2009) | 90 min | |

The Story of Maths is a four-part production of the BBC with Marcus du Sautoy. In four chapters on 2 DVDs we learn about the history of mathematics. Beginning in ancient Greece this series takes a ride through centuries of mathematical developments. |

Reason for Math Volume 1 (2012) | 97 min | |

Reason for Math is not your ordinary movie about Mathematics. Yes, it teaches you about mathematics but the main goal is to facilitate the understanding and general concepts of this science. Maths is a way of thinking and has a language of its own. So learning the vocabulary of this foreign language is key to understanding mathematics. (vismath) ... |

Art and Mathematics (2011) | 27 min | |

What does "dimension" mean? And why couldn't we imagine more than three dimensions? This movie is about how computer visualization helps to understand the fourth dimension. ... |

Art and Mathematics (2011) | 225 min | |

The DVD "Art and Mathematics - Part Two" contains several movies about mathematics. The topics are: knots, moebius strip, spirals, symmetry, ... ... |

Art and Mathematics: Flatland (2011) | 20 min | |

The Movie is an animated film inspired by Edwin A. Abbott's classic novel, Flatland. |

Art and Mathematics: Knots (2011) | 28 min | |

Knots are very important to sailors. But also mathematicians are interested in the definitions of knots and their characteristics. This movie answers the question: what is fascinating of these objects, that they are even important to artists? ... |

Art and Mathematics: Labyrinths (2011) | 29 min | |

This movie points out why people are so fascinated about labyrinths and how labyrinths are described with maths and music. ... |

Art and Mathematics: Möbius Strip (2011) | 25 min | |

This movie describes the Möbius strip and his characteristics. For example, what is happening when you cut it into two pieces? Sure, you can imagine what is going to happen after doing this with a ring. |

Art and Mathematics: Platonic Solids (2011) | 24 min | |

Platonic Solids impress with their even proportions. Even Plato and Euklid were interested in these five solids and their characteristics. |

Art and Mathematics: Soap Bubbles (2011) | 25 min | |

How can one make the biggest surface with a given line? And why do soap bubbles solve that problem automatically? |

Art and Mathematics: Spirals (2011) | 27 min | |

This movie is about spirals. You can find spirals in the nature, too. For example in shells or flowers. The connection between math, art and nature is described in "Art and Mathematics: Spirals" ... |

Art and Mathematics: Symmetry and Tesselation (2011) | 24 min | |

You can find symmetry in the nature. Even humans have often got symmetrical objects and so it is clear that symmetry is seen as perfectness. |

Der kleine Gauß (2010) | 8 min | |

What is the solution of summing up 1 to 100? The mathematicians Carl Friedrich Gauss had a solution at the age of 9. |