Voronoi Diagrams:

                                                            
                                                         Has nature created Voronoi Diagrams on these beautiful animals ?

Are they hiding something more ?
1)   Is there any symmetry in shape and size of polygons ?
2)   Is the number of polygons constant on each Giraffe ?

Geodesic Curves.

                                                          
                                                                       Are these Geodesic Curves on smooth Zebra?

Perfect Mesh:

These honeybees are creating a  wonderful mesh ? I am interested in knowing (1)  How do they start ?
(II) How to the fill the region ? (III) Can we fill an entire 2D regions with regular hexahedrals ?

                                                                            

                                    Why these little honey bees keeping mathematicians busy ? HoneyComb Conjecture 

Hindu Geometric Patterns : Rangoli

Since thousands of years, East Indians have perfected the art of creating Geometric Patterns called "Rangoli".
On all auspicious occasions ( Birth, Marriages and Festivals )  you can find girls and women creating beautiful
patters on the wall, entrance of  their homes, and near the wells.  One most  important feature of these  patterns
is "Symmetry".

Taj Mahal:  An epitome of geometric symmetry.

                                                                     
                                                                               The most beautiful building in the world.

Golden Ratio:

It seems that there are hidden geometric patterns in Cauliflower(Gobi). Sunflower, Ferns, Cactus, Pine trees. Like the
PI, Golden Ratio is another enigmatic number (I will explain later)