Mathematics

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DVD - Advanced

Kenneth Williams has been studying and teaching Vedic Maths since 1971, has written several books and been invited to many countries for courses. As a teacher of mathematics he has developed easy unified courses for teaching the remarkable Vedic system. http://www.vedicmaths.org/DVD/DVD%20-%20Advanced.asp
http://www.vedicmaths.org/DVD/DVD.asp

DVD

3 DVDs ON VEDIC MATHS - Inspiration Books
Here you have access to a comprehensive range of material on Vedic Mathematics, the system of mathematics reconstructed from Sanskrit texts a century ago by Sri Bharati Krsna Tirthaji . This website was created in 1998 and was for some years the only Vedic Maths website.

Vedic Mathematics Academy, Main Index

http://www.vedicmaths.org/Home%20Page.asp

Wallpaper group

A wallpaper group (or plane symmetry group or plane crystallographic group ) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art . There are 17 possible distinct groups . Wallpaper groups are two-dimensional symmetry groups , intermediate in complexity between the simpler frieze groups and the three-dimensional crystallographic groups (also called space groups ). [ edit ] Introduction http://en.wikipedia.org/wiki/Wallpaper_group
http://joebartholomew.blogspot.com/2010/12/girih-tiling-based-on-decagonal-fractal.html

Girih tiling based on a decagonal fractal

My last entry described a girih tiling based on a pentagonal fractal. It's also possible to base a fractal tiling on decagons. This process is simply nesting or subdividing a decagon with five smaller decagons. Starting with a regular decagon, place five smaller regular decagons, edge-to-edge, within the original decagon. One vertex each of the smaller decagons should coincide with a vertex of the larger. Two sides each of the smaller decagons should be edge-to-edge with another small decagon.
http://en.wikipedia.org/wiki/Trachtenberg_system The Trachtenberg System is a system of rapid mental calculation . The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian Jewish engineer Jakow Trachtenberg in order to keep his mind occupied while being held in a Nazi concentration camp . The rest of this article presents some of the methods devised by Trachtenberg.

Trachtenberg system

There’s a popular story that Gauss , mathematician extraordinaire, had a lazy teacher. The so-called educator wanted to keep the kids busy so he could take a nap; he asked the class to add the numbers 1 to 100. Gauss approached with his answer: 5050. http://betterexplained.com/articles/techniques-for-adding-the-numbers-1-to-100/

Techniques for adding the numbers 1 to 100