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Frozen Fractals (Window Frost & Snowflakes)

CRcrkcity•Created January 28, 2022
Frozen Fractals (Window Frost & Snowflakes)
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Instructions

Click flag to see frost form slowly on window edges. . Don't use turbo unless you want to skip the growth and jump to the final pattern. Wintery fractals include window frost (from l-system code), "Koch Snowflake," and bare tree.

Description

Compare to my DLA window frost: https://scratch.mit.edu/projects/939646959/ I heard the phrase "frozen fractals" in "Let it Go" from the movie "Frozen." The "frost" here grows by a system of commands, know as L-system, turning left, right, and move forward. In this case of this window frost, the turn is 90 degrees. The L-system convenient for building a wide variety of fractals. Fractals are self-similar patterns, having a shapes that appears at large and small scales. Zoom in and you see similar patterns, but smaller. Look inside to see that the code uses L-System terms: "F" indicates move foward by the step length, the term "+" means turn clockwise, "-" counterclockwise by the turn angle. In case we want to add slowly branching fractal trees later, I left in the code interpreters for branching although we don't use that here (that branch point code includes "[" to indicate branching point, and "]" means branch completed). Here I used in the background a static fractal tree from my earlier winter fractals project. I saw the frost pattern here, under "icy fractal": onlinemathtools dot com/l-system-generator I added a midi version dance of the sugar plum fairy by Tchaikovsky, which I had edited to play faster than it should be, and cut off early, to limit size.

Project Details

Project ID635586780
CreatedJanuary 28, 2022
Last ModifiedFebruary 6, 2024
SharedJanuary 28, 2022
Visibilityvisible
CommentsAllowed