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Hinged triangles

We start with a tiling of triangles.

Drag B to open the empty spaces.

Form a tiling of green triangles and three-pointed stars.
For what range of angles will you get three-pointed stars?

Form a tiling of green triangles and big white triangles.
What angle will give you white equilateral triangles?

Form a tiling of green triangles and white hexagons.
What angle will give you regular hexagons?