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MathLapse - Math Art - South Indian Traditional Art SUZHI Kolam

Submitted by Brunda Alagarsamy on

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

Preservation of the traditional art “Kolam” by transforming it to digital information and being recognized as a part of the world heritage.

A kolam is a geometrical drawing composed of curved loops drawn around a grid pattern of dots. It is sometimes called as “Rangoli” and can be very elaborate and colorful. Kolams originated about 2500 BC in the Indus Valley Civilization and are believed to help bring wealth and prosperity to the home or business.

Digitization of the information archived about Kolam is an important step in efforts for dissemination. This would provide a worldwide access to this information. Hence scholars and interested individuals would easily be able to access and practice the tradition.

Single Stroke kolam also called as “ANTHATHI Kolam” in Tamil Nadu. The Smooth line starts at a point and end in the same point. Single stroke kolam can be drawn for any type of dot structure (rhombic, square, triangular, or free shapes)

Trip-Lets

Inspired by the cover of the book Gödel, Escher, Bach by Douglas Hofstadter, this is an interactive game to exercise three-dimensional thinking in an interdisciplinary work with English, Spanish, French and Portuguese languages. The game runs on smartphones, tablets and desktop computers.

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TsunaMath

Tsunamis are big oceanic waves that collide violently with the coast. Most often, tsunamis are created by earthquakes that produce a sudden change on the topography of the ocean seabed. This exhibit explains how tsunamis are modeled mathematically, and recreates simulations of historical catastrophes.

Random maps

The following 3d model is a simulation of a uniform random quadrangulation with 30 000 faces. You can think of it as follows. If you are given 30 000 rubber squares, you can stitch them together along their sides and obtain a surface homeomorphic to the sphere. In plain English, this means that if you pump up the rubber surface, you obtain a sphere (think of a soccer ball for example). Put all the possible structures you can obtain by stitching together your squares in a bag and pick one at random.

You can visit my webpage for many more simulations and my picture page for many more higher quality downloadable pictures. In particular, you will find simulations of maps on more complicated surfaces (torus, double torus, disk, cylinder…).

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Percolation

Submitted by Nils Berglund on

Assume a porous solid contains a network of small channels, which are all open or closed with a certain probability. Depending on this probability, will a fluid be able to flow through the solid?

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