Morphing symmetric binary branching tree

A symmetric binary tree is obtained by applying certain affine linear transformations recursively to the leaves starting with a trunk of unit length. This video shows a scale factor given by the golden ratio (well, roughly 0.618) and morphs between various angles of rotation.

To build your own symmetric binary tree, you only need an angle of rotation and a scaling factor. To learn more, see Larry Riddle's website:

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Here are three related longer videos:

#symmetricbinarytree #binarytree #binary #mathvideo​ #math​ #mtbos​ #manim​ #animation​ #theorem​​​ #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractals #linearalgebra #bilateralstimation #manim #mathvideo​ #math​ #mtbos​​ #animation​​​ #iteachmath #mathematics #discretemath

To learn more about animating with manim, check out:

[zebfross]

It's cool how it goes from a snowflake to a tree to a plant

[samueleprandini]

Hi dude, very cool work. I'm trying to build a my version and I was wandering: is the ratio between a length and the following always 2/1? Or sometimes there is a different proportion?

[grzegorzgminski]

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