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curve sierpinski rotating art

LEleszpio•Created August 25, 2021
curve sierpinski rotating art
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Instructions

Green Flag. n - variable describing the level of the Sierpinski curve. n varies from 2 to 5 m - variable describing the number of revolutions by an angle of 360 / m m varies from 14 to 50 m changes 36 times and n changes 4 times. The result is 144 = 36 * 4 art images. Time of one show cycle 144 * 2 seconds = 288 seconds = 4 minutes 48 seconds.

Description

Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n-->∞ completely fill the unit square: thus their limit curve, also called the Sierpiński curve, is an example of a space-filling curve. The Sierpiński curve is useful in several practical applications because it is more symmetrical than other commonly studied space-filling curves. For example, it has been used as a basis for the rapid construction of an approximate solution to the Travelling Salesman Problem (which asks for the shortest sequence of a given set of points): The heuristic is simply to visit the points in the same sequence as they appear on the Sierpiński curve.

Project Details

Project ID563521798
CreatedAugust 25, 2021
Last ModifiedSeptember 14, 2021
SharedSeptember 14, 2021
Visibilityvisible
CommentsAllowed