Four mirrors and a rod –– MathLapse
Submitted by Jürgen Richter-... on
Platonic solids can be created by reflections. See how!
Users
Leonardo Extreme –– MathLapse
Submitted by Jürgen Richter-... on
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 stability.
But as soon as one rod looses its contact………. let’s see.
MathLapse - Frozen Fractals
Submitted by Anna Ursyn on
Ursyn - Frozen Fractals
Changes reflecting states of matter and resulting landscapes are depicted as related to math.
MathLapse Trailer
Submitted by Guillaume Jouvet on
Trailer for the first MathLapse Festival, held at the IC16 Conference in Berlin.
120-cells
Submitted by Arnaud Chéritat on
An elegant 3D puzzle.
Put the 45 pieces back in the shell… and get an object that is the shadow of a hugely symmetric 4D object.
MathLapse- L- System for Single Knot Kolam Pattern Generation II
Submitted by Brunda Alagarsamy on
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 each symbol into some larger string of symbols.
The recursive nature of L system rules leads to self similarity and thereby fractal like forms are easy to describe with an L system. This nature is applied in generating kolam pattern. Kolam pattern becomes more complex by increasing the iteration level.
Software: Python Turtle Graphics
MathLapse: Stamping a rosette
Submitted by Atractor on
This MathLapse illustrates a process for constructing a stamp for imprinting a rosette which has (only) rotation symmetry.
MathLapse: Stamping a frieze - the cylinder
Submitted by Atractor on
This MathLapse illustrates a process for constructing a stamp for imprinting a frieze which has (only) translation symmetry.
MathLapse- L- System for Single Knot Kolam Pattern Generation
Submitted by Brunda Alagarsamy on
In the art form of SUZHI KOLAM/ KAMBI KOLAM, dots called pulli are arranged in rhombic, square, triangular, or free shapes, and a single, uninterrupted linear or curvilinear line, called the kambi, intertwines the dots.
L-System
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 each symbol into some larger string of symbols.
The recursive nature of L system rules leads to self similarity and thereby fractal like forms are easy to describe with an L system. This nature is applied in generating kolam pattern. Kolam pattern becomes more complex by increasing the iteration level.
Software: Python Turtle Graphics
Mathlapse - Patterns of Nature
Submitted by Riccardo Moschetti on
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, following an iterative process that gives rise to very complicated and amazing results. By iterating the process infinitely many times one can often obtain a very interesting mathematical object: a fractal.