Thinking about pentagons and dodecahedrons – 8

And finally, from a third angle, you can view a 5-fold symmetry. In the following illustrations, the 5-fold symmetry of the dodecahedron (in red) is revealed within the pentagon itself (point at the left graphic to see it revealed).

Symmetry is significant because it is an attributes that naturally causes us to find pleasure in something we are viewing. Certainly this has roots in the 2-fold symmetry of our own bodies, as well as the symmetry we see in the natural world surrounding us.

The beauty of 5-fold symmetry can be found in most flowers and the fruits that are born from them (think of the cross section of an apple), some crystals (it is thought that the crystal of fool's gold or Pyrite might have provided the insight into the dodecahedron shape), and in the star fish of the sea.

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