## MathLapse

A “MathLapse” (ML) is a new educational and artistic format, which is supposed to highlight the link between mathematics and real-world phenomena. The name MathLapse is inspired by the timelapse-technique in physics: By re-scaling time, phenomena that we cannot observe with the naked eye are visualized.

A ML is short, simple, self-contained and creative and should illustrate a single mathematical idea through true or virtual animated images. The content of a ML is diverse. For example, it can be a geometric animation or a time-lapse video that comes with mathematical equations and/or concise explanations.

MathLapse Festival 2016 Winner. Experiencing the Inscribed Angle Theorem.

MathLapse Festival 2016 Winner. Parallel planes, which touch a surface of constant width from opposite sides, have always the same distance - a generalized diameter. The movie starts with curves...

MathLapse Festival 2016 Winner. A Wild Knot is a circular curve in the three-dimensional space which is infinitely knotted. In this video we show a recipe to build some kind of Wild Knots, using...

MathLapse Festival 2016 Winner. A MathLapse video on modelling an egg with equation and touch upon a little about conic sections.

MathLapse Festival 2016 Winner. This MathLapse illustrates a process for drawing the three conics (ellipse, parabola and hyperbola) by pin-and-string constructions.

About 2400 years ago in Greece,
Plato perceived his vision of the Ideal World
in ELEUSIS under the influence of halucinogenic
substances such as ergot...

A dynamic presentation of the seven frieze groups

Archimedes’ derivation of the surface area of a sphere.

Snow crystals have many beautiful symmetries.

some central facts about Mandelbox Fractals.

A MathLapse by Ulrike Bath and Kevin Guo about the Helicoid - a minimal surface. Minimal surfaces are soap film surfaces spanned in wire frames. The presented helicoid is amongst the oldest of...

Are the sum of odd numbers greater than the sum of even numbers?

The wind forces the water into circular motion, yet it generates waves.

We define a Wunderlich cube to be a cube whose surfaces contain raised impressions of the reflections of seed shapes resembling the letter S. The video shows how this cube can be rolled leaving a...

Taking pictures of spacetime - what could go wrong?

Three mirrors, a floor and light….nothing else

The Monge’s Circle Theorem as a silhouette of a higher dimension

Take a symmetric object and apply symmetric operations….

Just 30 pipe cleaners can be assembled to form a Kepler Point star

This is a short introduction into the wonderful world of graph theory. Hopefully this video will help you learn, or serve as a refresher for, some basics concepts in graph theory. Enjoy!

Mathlapse Competition 2016. Imaginary Conference Berlin 22/07/2016.
The video was selected for screening at the award ceremony.
In it we wander around the world using fractal geometry...

Standing wave theory and Morphodynamic archetypes Sphere-vortex connection

The tripartite communion between the sphere, spiral and language involves a conceptual leap clarifying the...

The video shows a polygonal line consisting of 24 segments constructed by turtle geometry (Refs.: “Turtle Geometry” by Harold Abelson and Andrea diSessa, The MIT Press,...

The video shows the construction of an algebraic curve by a mechanical linkage.

The video shows the construction of an algebraic curve by a mechanical linkage.

In this wordless animation we demonstrate the mathematics of binary place-value, and leave the viewer with a puzzle.

In 2d we can spin a ray about a point. If the ray contains a 1d profile, spinning gives a 2d object.
In 3d we can spin a half plane about a line. If we the half plane contains a 2d profile,...

There are two purposes in this animation
1. Use complex logarithm to see the relation between stereographic projection and Mercator map
2. By rotating small region to the poles we can...

Watch how the numbers 0, 1, 2, …, 21 leave behind residues (mod 22) when raised to the powers of 0, 1, 2, …, 21.

Everything in life depends in the point of view.

Platonic solids can be created by reflections. See how!

Most people know the Leonardo Bridge.

Only few people know that you can complete the structure to a full circle.

This circle forms a kind of tensegrity structure and has amazing...

Ursyn - Frozen Fractals
Changes reflecting states of matter and resulting landscapes are depicted as related to math.

Trailer for the first MathLapse Festival, held at the IC16 Conference in Berlin.

Lindermayer system is a parallel rewriting system and a type of formal grammar. It consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand...

This MathLapse illustrates a process for constructing a stamp for imprinting a rosette which has (only) rotation symmetry.

This MathLapse illustrates a process for constructing a stamp for imprinting a frieze which has (only) translation symmetry.

In the art form of SUZHI KOLAM/ KAMBI KOLAM, dots called pulli are arranged in rhombic,...

A wonderful way to describe natural shapes using the language of mathematics is provided by self-similar patterns. The idea is to repeat the same base module on different scales and positions,...

The video shows the construction of a hypotrochoid.

The video shows the construction of a hypotrochoid.

The video is a composition in black and white, playing a creative game with the limited pixel resolution of electronic displays.

Constructing iteratively square roots of integers with right angle triangles, a spiral is obtained which is named after Theodorus of Cyrene (5th century BC). Here, the...

Constructing iteratively square roots of integers with right angle triangles, a spiral is obtained which is named after Theodorus of Cyrene (5th century BC).

The number line is winded up to an Archimedean spiral, which is known as Sacks number spiral, …

Kolam skills are considered as mark of grace, dexterity, discipline and concentration. Also, Kolam expresses mathematical ideas.

Preservation of the traditional art “Kolam” by...