A different kind of chaos game

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Presentation transcript:

A different kind of chaos game

Start with a square

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish......

Rule #1: First squish....

Rule #1: ...then rotate a bit

Rule #1: ...then rotate a bit

Rule #1: ...then rotate a bit

Rule #1: ...then rotate a bit

Rule #1: ...then rotate a bit

Rule #1: ...then rotate a bit

Rule #1: ...then rotate a bit

That’s rule #1

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: Squish more......

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

Rule #2: then rotate left

That’s rule #2

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: First flip......

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

Rule #3: then squish and rotate

That’s rule #3

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

Rule #4: Squish almost completely

That’s rule #4

Summary

Rule #1

Rule #2

Rule #3

Rule #4

Now go play the chaos game...

Here are the rules:

Why do we get the fern?

Apply rule # 1 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 2 to the fern

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Apply rule # 3: first flip

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

Then squish and rotate

What’s missing?

Apply rule #4

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely

Squish almost completely