Skallops and Regular Polygons

So my skallops arrived and I’ve had some time to play with them. Geometry teacher’s dream.

Ok.

Will the following setup make a polygon if I keep the same angle and keep adding on?

What about 30 degrees? 45, 60, 75, 90, 105, 120, 135, 150, 165, or 180 degrees?

Some completed shapes:

Square

Hexagon

Dodecagon

And

Here’s a picture of them all:

Enjoy. 3D stuff to follow sometime this summer.

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