
Exploring Recursion in Algorithmic Thinking
Dive into the abstract world of algorithms with a focus on recursion as demonstrated through images and illustrations. Discover the art and logic behind recursive patterns and their applications in problem-solving. This visual journey delves into the beauty and complexity of recursive structures in a clear and educational manner.
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Presentation Transcript
Thinking about Algorithms Abstractly Recursion Jeff Edmonds York University Lecture3 COSC 3101 1
Recursive Images if n=1 if n=0, draw n=0 else draw And recursively Draw here with n-1 2
Recursive Images if n=2 if n=0, draw n=1 else draw And recursively Draw here with n-1 3
Recursive Images if n=3 if n=0, draw n=2 else draw And recursively Draw here with n-1 4
Recursive Images if n=30 if n=0, draw else draw And recursively Draw here with n-1 5
Recursive Images if n=0 if n=1 if n=2 if n=3 if n=4 if n=5 6
Recursive Images if n=0 if n=1 if n=2 if n=3 if n=4 if n=5 7
Recursive Images = (4/3)n L(n) = 4/3L(n-1) 8
Recursive Images A Hilbert Space-filling Curve is a 1-dim line that fills a 2D plane, then a 3D cube. 9