ScratchData LogoScratchData
Back to popswilson's profile

The Fern - Using the Collage Theorem

POpopswilson•Created February 24, 2013
The Fern - Using the Collage Theorem
11
10
408 views
View on Scratch

Instructions

Click on the green flag. Use Turbo to speed up calculations. See Notes and Credits

Description

Dr. Barnsley, on page 87 of his book, Fractals Everywhere, gives a table containing the coefficients and probablities for computing the image of a fern using his famous Collage Theorem. The Collage Theorem consists of two linear equations, ax + by + e, cx + dy + f, four transformations w1, w2, w3, w4, and, as mentioned above, the coefficients and probabilities for computing the image. To understand how these elements are put together, look at the code. Note: in the code, I name the transformations w1, etc. as subroutines. The Collage Theorem can compute ANY image. The trick is finding the right coefficients, a, b, c, d, e, and f. Consult his book, Fractals Everywhere, for more information. A detailed explanation of how the code is constructed can be had at www.scratch-blog.com

Project Details

Project ID3126850
CreatedFebruary 24, 2013
Last ModifiedOctober 27, 2015
SharedFebruary 24, 2013
Visibilityvisible
CommentsAllowed