Matpic
mathematics, in pictures
Field

Dynamics

One rule, applied over and over, and what the sequence does in the end.
xf(x)x ↦ 3.2x(1 − x), started at 0.2the orbit settles into a cycle of 2 points

The staircase that shows the whole orbit

Take a number, feed it to a rule, feed the answer back in. There is a way of drawing that on the rule's own graph which turns the entire future of a starting point into a shape — and the shape is legible.

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