Patterns with right angled Isosceles Triangles

This triangle has a special property which it shares with the “A” rectangle. It too can be folded in half to create a shape similar to that which exists before folding.

Are there other shapes that can be folded in half to make smaller replicas of themselves?

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And so on…..

So once you have this triangle it is easy to make a family of similar ones by folding and cutting in half.

Here are some patterns that can be made by nesting families inside each other