6 or 4?
The type of symmetry of this park in Sydney (Australia) changes according to what we decide to consider: the fountain in the centre has the shape of a regular hexagon and so it has symmetry D6. The symmetry breaks into a D3 if we consider the internal part of the fountain. If we look over the circle, the roads that arrive at the fountain have a dihedral symmetry of type D4.
© matematita
foto di Massimiliano Ghiggi
The image belongs to the sections...:
*3. (D3) (Symmetry)
*4. (D4) (Symmetry)
*6. (D6) (Symmetry)
Fountains (Anthology of images)
Fountains (Symmetry)
Maps and views from above (Anthology of images)
Maps and views from above (Symmetry)
Breaking symmetry (Symmetry)