Manual algorithmic art...
summary
Explains the mathematics behind a knotted kolam (an Indian floor pattern) that uses the Fibonacci sequence to generate square and rectangular designs. Shows how to place dots and trace the knotted kolam so you can construct square or rectangular patterns of arbitrary size.
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chapters (13)
- 0:00Intro
- 0:47What is a Kolam?
- 1:56What inspired this talk?
- 2:36Uniformly spaced square and Rectangular grids
- 3:04No empty unit cells
- 3:4390° rotational symmetry
- 4:11Single Loop
- 5:37FK Equations: Geometric Representation Fibonacci Quartet: Q235
- 6:36Fibonacci Kolam Components
- 7:205 x 5 kolams: Q (1235)
- 8:348 x 8 kolams: Q (2358)
- 9:09Splicing points and complexity
- 9:39Generalized Fibonacci Kolams
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