CTK Insights

04 May

Amazing iterations: parallelograms to ellipses

Some results are made to be shared. Fabian Rothelius came up with a simple iterative process that generates parallelograms after parallelograms with all the vertices on just three ellipses. His explanation underscores the power of affine transforms.

Start with a parallelogram ABCD and generate another parallelogram A'B'C'D':

2 parallelograms

Repeat starting with A'B'C'D':

3 parallelograms

And then go on:

many parallelograms

Amazing.

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