🌲 Algorithmic Trees, L-Systems and Kolams

WORK IN PROGRESS!!

Trees are fractal in nature, meaning that patterns created by the large structures, such as the main branches, repeat themselves in smaller structures, such as smaller branches…. a universal growth pattern first observed by Leonardo da Vinci 500 years ago: a simple yet startling relationship that always holds between the size of a tree’s trunk and sizes of its branches.

(Image Courtesy Christophe Eloy | University of Provence)

Let us see how we can create “Algorithmic Trees”.

An Introduction to L-Systems

https://cgjennings.ca/articles/l-systems/

Resources for Kolam Art

Attached Files:
File Marcia Ascher - Kolam Tradition.pdf (2.94 MB) File Saty Raghupathy - Tile based Kolam.pdf (688.669 KB) 1) Marcia Ascher: The Kolam Tradition

This is a very readable intro to Kolam, the threshold art form from Tamil Nadu.

Marcia Ascher has written two great books on the subject of math + culture. (I will put up her books, “Ethnomathematics” and “Math Elsewhere” on a separate folder on BB.)

  1. Saty Raghavachary: Tile-based Kolam Patterns

This is an alternative way, of using permutations of simple “Tiles” that can be used to alphabetically form a Kolam. ( This is also briefly touched upon in MArcia Ascher’s paper).

Saty Raghavachary is Professor of Computer Science at U of Southern California.

Also take a look a the 2 minute video on kolam at his website: https://satysfactory.blogspot.in/2009/01/kolams.html

Symmetry

W5 - D1 - Thomas Edward Brown and Elizabeth Barrett Browning 1) Thomas Edward Brown

https://www.thewayofbeauty.org/blog/2012/09/a-garden-is-a-lovesome-thing-god-wot

if you have heard of the word “godwottery”, it came from this poem.

  1. Elizabeth Barrett Browning

https://www.poets.org/poetsorg/poem/how-do-i-love-thee-sonnet-43

https://mathstat.slu.edu/escher/index.php/Introduction_to_Symmetry

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