Figure 2 Hinged hexagons and triangles
Drag C and focus at special angles of the rhombus at C.
What kind of tiling do you get when the angle of the rhombus is 90˚ ?
What kind of tiling when the angle of the rhombus is 60˚ or 120˚ ?
For this angle, imagine each rhombus divided into two equilateral triangles.
What if the angle is 0˚ or 180˚ ?