They may be arranged to form a regular hexagon with an inscribed black equilateral triangle or a regular hexagon with an inscribed red equilateral triangle. This is Wheeler's model 3HA.

Click to open image viewer. Hinged Plane Dissection, six quadrilaterals and one six-point star which can be arranged as one hexagon and an inscribed star, or two six-point stars. CC0 Usage Conditions ...